TSTP Solution File: GEO633+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO633+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 : Wed Aug 30 22:56:53 EDT 2023
% Result : Theorem 164.18s 164.45s
% Output : Proof 164.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO633+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : duper %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 20:59:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 164.18/164.45 SZS status Theorem for theBenchmark.p
% 164.18/164.45 SZS output start Proof for theBenchmark.p
% 164.18/164.45 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True
% 164.18/164.45 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True
% 164.18/164.45 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True
% 164.18/164.45 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True
% 164.18/164.45 Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True
% 164.18/164.45 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True
% 164.18/164.45 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True
% 164.18/164.45 Clause #8 (by assumption #[]): Eq (∀ (A B C D E F : Iota), And (perp A B C D) (perp C D E F) → para A B E F) True
% 164.18/164.45 Clause #9 (by assumption #[]): Eq (∀ (A B C D E F : Iota), And (para A B C D) (perp C D E F) → perp A B E F) True
% 164.18/164.45 Clause #13 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A B D C) True
% 164.18/164.45 Clause #14 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A C B D) True
% 164.18/164.45 Clause #15 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic B A C D) True
% 164.18/164.45 Clause #16 (by assumption #[]): Eq (∀ (A B C D E : Iota), And (cyclic A B C D) (cyclic A B C E) → cyclic B C D E) True
% 164.18/164.45 Clause #17 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle B A C D P Q U V) True
% 164.18/164.45 Clause #18 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle C D A B U V P Q) True
% 164.18/164.45 Clause #19 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle P Q U V A B C D) True
% 164.18/164.45 Clause #20 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle A B P Q C D U V) True
% 164.18/164.45 Clause #25 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio B A C D P Q U V) True
% 164.18/164.45 Clause #26 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio C D A B U V P Q) True
% 164.18/164.45 Clause #27 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio P Q U V A B C D) True
% 164.18/164.45 Clause #28 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio A B P Q C D U V) True
% 164.18/164.45 Clause #29 (by assumption #[]): Eq
% 164.18/164.45 (∀ (A B C D E F G H P Q U V : Iota),
% 164.18/164.45 And (eqratio A B C D P Q U V) (eqratio P Q U V E F G H) → eqratio A B C D E F G H)
% 164.18/164.45 True
% 164.18/164.45 Clause #38 (by assumption #[]): Eq (∀ (A B C D P Q : Iota), eqangle A B P Q C D P Q → para A B C D) True
% 164.18/164.45 Clause #39 (by assumption #[]): Eq (∀ (A B C D P Q : Iota), para A B C D → eqangle A B P Q C D P Q) True
% 164.18/164.45 Clause #40 (by assumption #[]): Eq (∀ (A B P Q : Iota), cyclic A B P Q → eqangle P A P B Q A Q B) True
% 164.18/164.45 Clause #42 (by assumption #[]): Eq (∀ (A B P Q : Iota), And (eqangle P A P B Q A Q B) (coll P Q B) → cyclic A B P Q) True
% 164.18/164.45 Clause #43 (by assumption #[]): Eq
% 164.18/164.45 (∀ (A B C P Q R : Iota),
% 164.18/164.45 And (And (And (cyclic A B C P) (cyclic A B C Q)) (cyclic A B C R)) (eqangle C A C B R P R Q) → cong A B P Q)
% 164.18/164.45 True
% 164.18/164.45 Clause #46 (by assumption #[]): Eq (∀ (A B O : Iota), cong O A O B → eqangle O A A B A B O B) True
% 164.18/164.45 Clause #57 (by assumption #[]): Eq (∀ (A B P Q : Iota), And (And (cong A P B P) (cong A Q B Q)) (cyclic A B P Q) → perp P A A Q) True
% 164.18/164.45 Clause #65 (by assumption #[]): Eq (∀ (A B C D O : Iota), And (And (para A B C D) (coll O A C)) (coll O B D) → eqratio O A A C O B B D) True
% 164.18/164.45 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True
% 164.18/164.45 Clause #73 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), And (eqangle A B C D P Q U V) (para P Q U V) → para A B C D) True
% 164.18/164.45 Clause #74 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), And (eqangle A B C D P Q U V) (perp P Q U V) → perp A B C D) True
% 164.18/164.45 Clause #75 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), And (eqratio A B C D P Q U V) (cong P Q U V) → cong A B C D) True
% 164.18/164.45 Clause #94 (by assumption #[]): Eq
% 164.18/164.47 (Not
% 164.18/164.47 (∀ (A B C A1 S N G H : Iota),
% 164.18/164.47 And
% 164.18/164.47 (And
% 164.18/164.47 (And
% 164.18/164.47 (And (And (And (And (midp A1 C B) (eqangle S A A B C A A A1)) (coll S B C)) (coll N A A1)) (perp G N A B))
% 164.18/164.47 (coll G A B))
% 164.18/164.47 (perp H N A C))
% 164.18/164.47 (coll H A C) →
% 164.18/164.47 perp G H A S))
% 164.18/164.47 True
% 164.18/164.47 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True
% 164.18/164.47 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True
% 164.18/164.47 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 : Iota), Eq (para a a_1 a a_2 → coll a a_1 a_2) True
% 164.18/164.47 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota), Or (Eq (para a a_1 a a_2) False) (Eq (coll a a_1 a_2) True)
% 164.18/164.47 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True
% 164.18/164.47 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True
% 164.18/164.47 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2 → coll a_1 a a_2) True
% 164.18/164.47 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) False) (Eq (coll a_1 a a_2) True)
% 164.18/164.47 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True
% 164.18/164.47 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True
% 164.18/164.47 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2 → coll a a_2 a_1) True
% 164.18/164.47 Clause #119 (by clausification #[118]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) False) (Eq (coll a a_2 a_1) True)
% 164.18/164.47 Clause #120 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B C D : Iota), And (coll a B C) (coll a B D) → coll C D a) True
% 164.18/164.47 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), And (coll a a_1 C) (coll a a_1 D) → coll C D a) True
% 164.18/164.47 Clause #122 (by clausification #[121]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), And (coll a a_1 a_2) (coll a a_1 D) → coll a_2 D a) True
% 164.18/164.47 Clause #123 (by clausification #[122]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (coll a a_1 a_2) (coll a a_1 a_3) → coll a_2 a_3 a) True
% 164.18/164.47 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (And (coll a a_1 a_2) (coll a a_1 a_3)) False) (Eq (coll a_2 a_3 a) True)
% 164.18/164.47 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq (coll a_2 a_3 a) False) (Eq (coll a_2 a_3 a_1) False))
% 164.18/164.47 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True
% 164.18/164.47 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), para a a_1 C D → para a a_1 D C) True
% 164.18/164.47 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), para a a_1 a_2 D → para a a_1 D a_2) True
% 164.18/164.47 Clause #155 (by clausification #[154]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para a a_1 a_2 a_3 → para a a_1 a_3 a_2) True
% 164.18/164.47 Clause #156 (by clausification #[155]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (para a a_1 a_3 a_2) True)
% 164.18/164.47 Clause #157 (by clausification #[42]): ∀ (a : Iota), Eq (∀ (B P Q : Iota), And (eqangle P a P B Q a Q B) (coll P Q B) → cyclic a B P Q) True
% 164.18/164.47 Clause #158 (by clausification #[157]): ∀ (a a_1 : Iota), Eq (∀ (P Q : Iota), And (eqangle P a P a_1 Q a Q a_1) (coll P Q a_1) → cyclic a a_1 P Q) True
% 164.18/164.47 Clause #159 (by clausification #[158]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Q : Iota), And (eqangle a a_1 a a_2 Q a_1 Q a_2) (coll a Q a_2) → cyclic a_1 a_2 a Q) True
% 164.18/164.47 Clause #160 (by clausification #[159]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (eqangle a a_1 a a_2 a_3 a_1 a_3 a_2) (coll a a_3 a_2) → cyclic a_1 a_2 a a_3) True
% 164.18/164.47 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.47 Or (Eq (And (eqangle a a_1 a a_2 a_3 a_1 a_3 a_2) (coll a a_3 a_2)) False) (Eq (cyclic a_1 a_2 a a_3) True)
% 164.18/164.47 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.47 Or (Eq (cyclic a a_1 a_2 a_3) True)
% 164.18/164.47 (Or (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False) (Eq (coll a_2 a_3 a_1) False))
% 164.18/164.49 Clause #170 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic B a C D) True
% 164.18/164.49 Clause #171 (by clausification #[170]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a_1 a C D) True
% 164.18/164.49 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a_1 a a_2 D) True
% 164.18/164.49 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a_1 a a_2 a_3) True
% 164.18/164.49 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a_1 a a_2 a_3) True)
% 164.18/164.49 Clause #175 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a C B D) True
% 164.18/164.49 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a C a_1 D) True
% 164.18/164.49 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_2 a_1 D) True
% 164.18/164.49 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_2 a_1 a_3) True
% 164.18/164.49 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_2 a_1 a_3) True)
% 164.18/164.49 Clause #180 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a B D C) True
% 164.18/164.49 Clause #181 (by clausification #[180]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a a_1 D C) True
% 164.18/164.49 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_1 D a_2) True
% 164.18/164.49 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_1 a_3 a_2) True
% 164.18/164.49 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_1 a_3 a_2) True)
% 164.18/164.49 Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True
% 164.18/164.49 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), para a a_1 C D → para C D a a_1) True
% 164.18/164.49 Clause #187 (by clausification #[186]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), para a a_1 a_2 D → para a_2 D a a_1) True
% 164.18/164.49 Clause #188 (by clausification #[187]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para a a_1 a_2 a_3 → para a_2 a_3 a a_1) True
% 164.18/164.49 Clause #189 (by clausification #[188]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (para a_2 a_3 a a_1) True)
% 164.18/164.49 Clause #200 (by clausification #[57]): ∀ (a : Iota), Eq (∀ (B P Q : Iota), And (And (cong a P B P) (cong a Q B Q)) (cyclic a B P Q) → perp P a a Q) True
% 164.18/164.49 Clause #201 (by clausification #[200]): ∀ (a a_1 : Iota),
% 164.18/164.49 Eq (∀ (P Q : Iota), And (And (cong a P a_1 P) (cong a Q a_1 Q)) (cyclic a a_1 P Q) → perp P a a Q) True
% 164.18/164.49 Clause #202 (by clausification #[201]): ∀ (a a_1 a_2 : Iota),
% 164.18/164.49 Eq (∀ (Q : Iota), And (And (cong a a_1 a_2 a_1) (cong a Q a_2 Q)) (cyclic a a_2 a_1 Q) → perp a_1 a a Q) True
% 164.18/164.49 Clause #203 (by clausification #[202]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.49 Eq (And (And (cong a a_1 a_2 a_1) (cong a a_3 a_2 a_3)) (cyclic a a_2 a_1 a_3) → perp a_1 a a a_3) True
% 164.18/164.49 Clause #204 (by clausification #[203]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.49 Or (Eq (And (And (cong a a_1 a_2 a_1) (cong a a_3 a_2 a_3)) (cyclic a a_2 a_1 a_3)) False)
% 164.18/164.49 (Eq (perp a_1 a a a_3) True)
% 164.18/164.49 Clause #205 (by clausification #[204]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.49 Or (Eq (perp a a_1 a_1 a_2) True)
% 164.18/164.49 (Or (Eq (And (cong a_1 a a_3 a) (cong a_1 a_2 a_3 a_2)) False) (Eq (cyclic a_1 a_3 a a_2) False))
% 164.18/164.49 Clause #206 (by clausification #[205]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.49 Or (Eq (perp a a_1 a_1 a_2) True)
% 164.18/164.49 (Or (Eq (cyclic a_1 a_3 a a_2) False) (Or (Eq (cong a_1 a a_3 a) False) (Eq (cong a_1 a_2 a_3 a_2) False)))
% 164.18/164.49 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True
% 164.18/164.49 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), perp a a_1 C D → perp a a_1 D C) True
% 164.18/164.52 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), perp a a_1 a_2 D → perp a a_1 D a_2) True
% 164.18/164.52 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota), Eq (perp a a_1 a_2 a_3 → perp a a_1 a_3 a_2) True
% 164.18/164.52 Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_2 a_3) False) (Eq (perp a a_1 a_3 a_2) True)
% 164.18/164.52 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True
% 164.18/164.52 Clause #267 (by clausification #[266]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), perp a a_1 C D → perp C D a a_1) True
% 164.18/164.52 Clause #268 (by clausification #[267]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), perp a a_1 a_2 D → perp a_2 D a a_1) True
% 164.18/164.52 Clause #269 (by clausification #[268]): ∀ (a a_1 a_2 a_3 : Iota), Eq (perp a a_1 a_2 a_3 → perp a_2 a_3 a a_1) True
% 164.18/164.52 Clause #270 (by clausification #[269]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_2 a_3) False) (Eq (perp a_2 a_3 a a_1) True)
% 164.18/164.52 Clause #284 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (B C D E : Iota), And (cyclic a B C D) (cyclic a B C E) → cyclic B C D E) True
% 164.18/164.52 Clause #285 (by clausification #[284]): ∀ (a a_1 : Iota), Eq (∀ (C D E : Iota), And (cyclic a a_1 C D) (cyclic a a_1 C E) → cyclic a_1 C D E) True
% 164.18/164.52 Clause #286 (by clausification #[285]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D E : Iota), And (cyclic a a_1 a_2 D) (cyclic a a_1 a_2 E) → cyclic a_1 a_2 D E) True
% 164.18/164.52 Clause #287 (by clausification #[286]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (E : Iota), And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 E) → cyclic a_1 a_2 a_3 E) True
% 164.18/164.52 Clause #288 (by clausification #[287]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4) → cyclic a_1 a_2 a_3 a_4) True
% 164.18/164.52 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.18/164.52 Or (Eq (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) False) (Eq (cyclic a_1 a_2 a_3 a_4) True)
% 164.18/164.52 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.18/164.52 Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq (cyclic a_4 a a_1 a_2) False) (Eq (cyclic a_4 a a_1 a_3) False))
% 164.18/164.52 Clause #298 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (B C D E F : Iota), And (perp a B C D) (perp C D E F) → para a B E F) True
% 164.18/164.52 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), Eq (∀ (C D E F : Iota), And (perp a a_1 C D) (perp C D E F) → para a a_1 E F) True
% 164.18/164.52 Clause #300 (by clausification #[299]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D E F : Iota), And (perp a a_1 a_2 D) (perp a_2 D E F) → para a a_1 E F) True
% 164.18/164.52 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (E F : Iota), And (perp a a_1 a_2 a_3) (perp a_2 a_3 E F) → para a a_1 E F) True
% 164.18/164.52 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (F : Iota), And (perp a a_1 a_2 a_3) (perp a_2 a_3 a_4 F) → para a a_1 a_4 F) True
% 164.18/164.52 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (And (perp a a_1 a_2 a_3) (perp a_2 a_3 a_4 a_5) → para a a_1 a_4 a_5) True
% 164.18/164.52 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.18/164.52 Or (Eq (And (perp a a_1 a_2 a_3) (perp a_2 a_3 a_4 a_5)) False) (Eq (para a a_1 a_4 a_5) True)
% 164.18/164.52 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.18/164.52 Or (Eq (para a a_1 a_2 a_3) True) (Or (Eq (perp a a_1 a_4 a_5) False) (Eq (perp a_4 a_5 a_2 a_3) False))
% 164.18/164.52 Clause #321 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (B C D E F : Iota), And (para a B C D) (perp C D E F) → perp a B E F) True
% 164.18/164.52 Clause #322 (by clausification #[321]): ∀ (a a_1 : Iota), Eq (∀ (C D E F : Iota), And (para a a_1 C D) (perp C D E F) → perp a a_1 E F) True
% 164.18/164.52 Clause #323 (by clausification #[322]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D E F : Iota), And (para a a_1 a_2 D) (perp a_2 D E F) → perp a a_1 E F) True
% 164.18/164.52 Clause #324 (by clausification #[323]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (E F : Iota), And (para a a_1 a_2 a_3) (perp a_2 a_3 E F) → perp a a_1 E F) True
% 164.18/164.52 Clause #325 (by clausification #[324]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (F : Iota), And (para a a_1 a_2 a_3) (perp a_2 a_3 a_4 F) → perp a a_1 a_4 F) True
% 164.18/164.54 Clause #326 (by clausification #[325]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (And (para a a_1 a_2 a_3) (perp a_2 a_3 a_4 a_5) → perp a a_1 a_4 a_5) True
% 164.18/164.54 Clause #327 (by clausification #[326]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.18/164.54 Or (Eq (And (para a a_1 a_2 a_3) (perp a_2 a_3 a_4 a_5)) False) (Eq (perp a a_1 a_4 a_5) True)
% 164.18/164.54 Clause #328 (by clausification #[327]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.18/164.54 Or (Eq (perp a a_1 a_2 a_3) True) (Or (Eq (para a a_1 a_4 a_5) False) (Eq (perp a_4 a_5 a_2 a_3) False))
% 164.18/164.54 Clause #344 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle B a C D P Q U V) True
% 164.18/164.54 Clause #345 (by clausification #[344]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle a_1 a C D P Q U V) True
% 164.18/164.54 Clause #346 (by clausification #[345]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle a_1 a a_2 D P Q U V) True
% 164.18/164.54 Clause #347 (by clausification #[346]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle a_1 a a_2 a_3 P Q U V) True
% 164.18/164.54 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.18/164.54 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a_1 a a_2 a_3 a_4 Q U V) True
% 164.18/164.54 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.18/164.54 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a_1 a a_2 a_3 a_4 a_5 U V) True
% 164.18/164.54 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.18/164.54 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a_1 a a_2 a_3 a_4 a_5 a_6 V) True
% 164.18/164.54 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.18/164.54 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True
% 164.18/164.54 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.18/164.54 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True)
% 164.18/164.54 Clause #353 (by clausification #[38]): ∀ (a : Iota), Eq (∀ (B C D P Q : Iota), eqangle a B P Q C D P Q → para a B C D) True
% 164.18/164.54 Clause #354 (by clausification #[353]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q : Iota), eqangle a a_1 P Q C D P Q → para a a_1 C D) True
% 164.18/164.54 Clause #355 (by clausification #[354]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q : Iota), eqangle a a_1 P Q a_2 D P Q → para a a_1 a_2 D) True
% 164.18/164.54 Clause #356 (by clausification #[355]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q : Iota), eqangle a a_1 P Q a_2 a_3 P Q → para a a_1 a_2 a_3) True
% 164.18/164.54 Clause #357 (by clausification #[356]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (Q : Iota), eqangle a a_1 a_2 Q a_3 a_4 a_2 Q → para a a_1 a_3 a_4) True
% 164.18/164.54 Clause #358 (by clausification #[357]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_2 a_3 → para a a_1 a_4 a_5) True
% 164.18/164.54 Clause #359 (by clausification #[358]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_2 a_3) False) (Eq (para a a_1 a_4 a_5) True)
% 164.18/164.54 Clause #360 (by clausification #[43]): ∀ (a : Iota),
% 164.18/164.54 Eq
% 164.18/164.54 (∀ (B C P Q R : Iota),
% 164.18/164.54 And (And (And (cyclic a B C P) (cyclic a B C Q)) (cyclic a B C R)) (eqangle C a C B R P R Q) → cong a B P Q)
% 164.18/164.54 True
% 164.18/164.54 Clause #361 (by clausification #[360]): ∀ (a a_1 : Iota),
% 164.18/164.54 Eq
% 164.18/164.54 (∀ (C P Q R : Iota),
% 164.18/164.54 And (And (And (cyclic a a_1 C P) (cyclic a a_1 C Q)) (cyclic a a_1 C R)) (eqangle C a C a_1 R P R Q) →
% 164.18/164.54 cong a a_1 P Q)
% 164.18/164.54 True
% 164.18/164.54 Clause #362 (by clausification #[361]): ∀ (a a_1 a_2 : Iota),
% 164.18/164.54 Eq
% 164.18/164.54 (∀ (P Q R : Iota),
% 164.18/164.54 And (And (And (cyclic a a_1 a_2 P) (cyclic a a_1 a_2 Q)) (cyclic a a_1 a_2 R)) (eqangle a_2 a a_2 a_1 R P R Q) →
% 164.18/164.54 cong a a_1 P Q)
% 164.18/164.54 True
% 164.18/164.54 Clause #363 (by clausification #[362]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.18/164.54 Eq
% 164.18/164.54 (∀ (Q R : Iota),
% 164.18/164.54 And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 Q)) (cyclic a a_1 a_2 R))
% 164.18/164.54 (eqangle a_2 a a_2 a_1 R a_3 R Q) →
% 164.31/164.56 cong a a_1 a_3 Q)
% 164.31/164.56 True
% 164.31/164.56 Clause #364 (by clausification #[363]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.56 Eq
% 164.31/164.56 (∀ (R : Iota),
% 164.31/164.56 And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) (cyclic a a_1 a_2 R))
% 164.31/164.56 (eqangle a_2 a a_2 a_1 R a_3 R a_4) →
% 164.31/164.56 cong a a_1 a_3 a_4)
% 164.31/164.56 True
% 164.31/164.56 Clause #365 (by clausification #[364]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.56 Eq
% 164.31/164.56 (And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) (cyclic a a_1 a_2 a_5))
% 164.31/164.56 (eqangle a_2 a a_2 a_1 a_5 a_3 a_5 a_4) →
% 164.31/164.56 cong a a_1 a_3 a_4)
% 164.31/164.56 True
% 164.31/164.56 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.56 Or
% 164.31/164.56 (Eq
% 164.31/164.56 (And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) (cyclic a a_1 a_2 a_5))
% 164.31/164.56 (eqangle a_2 a a_2 a_1 a_5 a_3 a_5 a_4))
% 164.31/164.56 False)
% 164.31/164.56 (Eq (cong a a_1 a_3 a_4) True)
% 164.31/164.56 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.56 Or (Eq (cong a a_1 a_2 a_3) True)
% 164.31/164.56 (Or (Eq (And (And (cyclic a a_1 a_4 a_2) (cyclic a a_1 a_4 a_3)) (cyclic a a_1 a_4 a_5)) False)
% 164.31/164.56 (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False))
% 164.31/164.56 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.56 Or (Eq (cong a a_1 a_2 a_3) True)
% 164.31/164.56 (Or (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False)
% 164.31/164.56 (Or (Eq (And (cyclic a a_1 a_4 a_2) (cyclic a a_1 a_4 a_3)) False) (Eq (cyclic a a_1 a_4 a_5) False)))
% 164.31/164.56 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.56 Or (Eq (cong a a_1 a_2 a_3) True)
% 164.31/164.56 (Or (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False)
% 164.31/164.56 (Or (Eq (cyclic a a_1 a_4 a_5) False) (Or (Eq (cyclic a a_1 a_4 a_2) False) (Eq (cyclic a a_1 a_4 a_3) False))))
% 164.31/164.56 Clause #385 (by clausification #[46]): ∀ (a : Iota), Eq (∀ (B O : Iota), cong O a O B → eqangle O a a B a B O B) True
% 164.31/164.56 Clause #386 (by clausification #[385]): ∀ (a a_1 : Iota), Eq (∀ (O : Iota), cong O a O a_1 → eqangle O a a a_1 a a_1 O a_1) True
% 164.31/164.56 Clause #387 (by clausification #[386]): ∀ (a a_1 a_2 : Iota), Eq (cong a a_1 a a_2 → eqangle a a_1 a_1 a_2 a_1 a_2 a a_2) True
% 164.31/164.56 Clause #388 (by clausification #[387]): ∀ (a a_1 a_2 : Iota), Or (Eq (cong a a_1 a a_2) False) (Eq (eqangle a a_1 a_1 a_2 a_1 a_2 a a_2) True)
% 164.31/164.56 Clause #389 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle C D a B U V P Q) True
% 164.31/164.56 Clause #390 (by clausification #[389]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle C D a a_1 U V P Q) True
% 164.31/164.56 Clause #391 (by clausification #[390]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle a_2 D a a_1 U V P Q) True
% 164.31/164.56 Clause #392 (by clausification #[391]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle a_2 a_3 a a_1 U V P Q) True
% 164.31/164.56 Clause #393 (by clausification #[392]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.56 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a_2 a_3 a a_1 U V a_4 Q) True
% 164.31/164.56 Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.57 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a_2 a_3 a a_1 U V a_4 a_5) True
% 164.31/164.57 Clause #395 (by clausification #[394]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.31/164.57 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a_2 a_3 a a_1 a_6 V a_4 a_5) True
% 164.31/164.57 Clause #396 (by clausification #[395]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.57 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True
% 164.31/164.57 Clause #397 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.57 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True)
% 164.31/164.57 Clause #433 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle P Q U V a B C D) True
% 164.31/164.57 Clause #434 (by clausification #[433]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle P Q U V a a_1 C D) True
% 164.31/164.57 Clause #435 (by clausification #[434]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle P Q U V a a_1 a_2 D) True
% 164.31/164.59 Clause #436 (by clausification #[435]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle P Q U V a a_1 a_2 a_3) True
% 164.31/164.59 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.59 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a_4 Q U V a a_1 a_2 a_3) True
% 164.31/164.59 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.59 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a_4 a_5 U V a a_1 a_2 a_3) True
% 164.31/164.59 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.31/164.59 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a_4 a_5 a_6 V a a_1 a_2 a_3) True
% 164.31/164.59 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.59 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True
% 164.31/164.59 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.59 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True)
% 164.31/164.59 Clause #458 (by clausification #[75]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), And (eqratio a B C D P Q U V) (cong P Q U V) → cong a B C D) True
% 164.31/164.59 Clause #459 (by clausification #[458]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), And (eqratio a a_1 C D P Q U V) (cong P Q U V) → cong a a_1 C D) True
% 164.31/164.59 Clause #460 (by clausification #[459]): ∀ (a a_1 a_2 : Iota),
% 164.31/164.59 Eq (∀ (D P Q U V : Iota), And (eqratio a a_1 a_2 D P Q U V) (cong P Q U V) → cong a a_1 a_2 D) True
% 164.31/164.59 Clause #461 (by clausification #[460]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.31/164.59 Eq (∀ (P Q U V : Iota), And (eqratio a a_1 a_2 a_3 P Q U V) (cong P Q U V) → cong a a_1 a_2 a_3) True
% 164.31/164.59 Clause #462 (by clausification #[461]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.59 Eq (∀ (Q U V : Iota), And (eqratio a a_1 a_2 a_3 a_4 Q U V) (cong a_4 Q U V) → cong a a_1 a_2 a_3) True
% 164.31/164.59 Clause #463 (by clausification #[462]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.59 Eq (∀ (U V : Iota), And (eqratio a a_1 a_2 a_3 a_4 a_5 U V) (cong a_4 a_5 U V) → cong a a_1 a_2 a_3) True
% 164.31/164.59 Clause #464 (by clausification #[463]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.31/164.59 Eq (∀ (V : Iota), And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V) (cong a_4 a_5 a_6 V) → cong a a_1 a_2 a_3) True
% 164.31/164.59 Clause #465 (by clausification #[464]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.59 Eq (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (cong a_4 a_5 a_6 a_7) → cong a a_1 a_2 a_3) True
% 164.31/164.59 Clause #466 (by clausification #[465]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.59 Or (Eq (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (cong a_4 a_5 a_6 a_7)) False) (Eq (cong a a_1 a_2 a_3) True)
% 164.31/164.59 Clause #467 (by clausification #[466]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.59 Or (Eq (cong a a_1 a_2 a_3) True)
% 164.31/164.59 (Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (cong a_4 a_5 a_6 a_7) False))
% 164.31/164.59 Clause #468 (by clausification #[74]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), And (eqangle a B C D P Q U V) (perp P Q U V) → perp a B C D) True
% 164.31/164.59 Clause #469 (by clausification #[468]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), And (eqangle a a_1 C D P Q U V) (perp P Q U V) → perp a a_1 C D) True
% 164.31/164.59 Clause #470 (by clausification #[469]): ∀ (a a_1 a_2 : Iota),
% 164.31/164.59 Eq (∀ (D P Q U V : Iota), And (eqangle a a_1 a_2 D P Q U V) (perp P Q U V) → perp a a_1 a_2 D) True
% 164.31/164.59 Clause #471 (by clausification #[470]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.31/164.59 Eq (∀ (P Q U V : Iota), And (eqangle a a_1 a_2 a_3 P Q U V) (perp P Q U V) → perp a a_1 a_2 a_3) True
% 164.31/164.59 Clause #472 (by clausification #[471]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.59 Eq (∀ (Q U V : Iota), And (eqangle a a_1 a_2 a_3 a_4 Q U V) (perp a_4 Q U V) → perp a a_1 a_2 a_3) True
% 164.31/164.59 Clause #473 (by clausification #[472]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.59 Eq (∀ (U V : Iota), And (eqangle a a_1 a_2 a_3 a_4 a_5 U V) (perp a_4 a_5 U V) → perp a a_1 a_2 a_3) True
% 164.31/164.59 Clause #474 (by clausification #[473]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.31/164.61 Eq (∀ (V : Iota), And (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V) (perp a_4 a_5 a_6 V) → perp a a_1 a_2 a_3) True
% 164.31/164.61 Clause #475 (by clausification #[474]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Eq (And (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (perp a_4 a_5 a_6 a_7) → perp a a_1 a_2 a_3) True
% 164.31/164.61 Clause #476 (by clausification #[475]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Or (Eq (And (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (perp a_4 a_5 a_6 a_7)) False) (Eq (perp a a_1 a_2 a_3) True)
% 164.31/164.61 Clause #477 (by clausification #[476]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Or (Eq (perp a a_1 a_2 a_3) True)
% 164.31/164.61 (Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (perp a_4 a_5 a_6 a_7) False))
% 164.31/164.61 Clause #488 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle a B P Q C D U V) True
% 164.31/164.61 Clause #489 (by clausification #[488]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle a a_1 P Q C D U V) True
% 164.31/164.61 Clause #490 (by clausification #[489]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle a a_1 P Q a_2 D U V) True
% 164.31/164.61 Clause #491 (by clausification #[490]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle a a_1 P Q a_2 a_3 U V) True
% 164.31/164.61 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.61 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a a_1 a_4 Q a_2 a_3 U V) True
% 164.31/164.61 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.61 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a a_1 a_4 a_5 a_2 a_3 U V) True
% 164.31/164.61 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.31/164.61 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a a_1 a_4 a_5 a_2 a_3 a_6 V) True
% 164.31/164.61 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True
% 164.31/164.61 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True)
% 164.31/164.61 Clause #505 (by clausification #[73]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), And (eqangle a B C D P Q U V) (para P Q U V) → para a B C D) True
% 164.31/164.61 Clause #506 (by clausification #[505]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), And (eqangle a a_1 C D P Q U V) (para P Q U V) → para a a_1 C D) True
% 164.31/164.61 Clause #507 (by clausification #[506]): ∀ (a a_1 a_2 : Iota),
% 164.31/164.61 Eq (∀ (D P Q U V : Iota), And (eqangle a a_1 a_2 D P Q U V) (para P Q U V) → para a a_1 a_2 D) True
% 164.31/164.61 Clause #508 (by clausification #[507]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.31/164.61 Eq (∀ (P Q U V : Iota), And (eqangle a a_1 a_2 a_3 P Q U V) (para P Q U V) → para a a_1 a_2 a_3) True
% 164.31/164.61 Clause #509 (by clausification #[508]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.31/164.61 Eq (∀ (Q U V : Iota), And (eqangle a a_1 a_2 a_3 a_4 Q U V) (para a_4 Q U V) → para a a_1 a_2 a_3) True
% 164.31/164.61 Clause #510 (by clausification #[509]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.31/164.61 Eq (∀ (U V : Iota), And (eqangle a a_1 a_2 a_3 a_4 a_5 U V) (para a_4 a_5 U V) → para a a_1 a_2 a_3) True
% 164.31/164.61 Clause #511 (by clausification #[510]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.31/164.61 Eq (∀ (V : Iota), And (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V) (para a_4 a_5 a_6 V) → para a a_1 a_2 a_3) True
% 164.31/164.61 Clause #512 (by clausification #[511]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Eq (And (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (para a_4 a_5 a_6 a_7) → para a a_1 a_2 a_3) True
% 164.31/164.61 Clause #513 (by clausification #[512]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Or (Eq (And (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (para a_4 a_5 a_6 a_7)) False) (Eq (para a a_1 a_2 a_3) True)
% 164.31/164.61 Clause #514 (by clausification #[513]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.31/164.61 Or (Eq (para a a_1 a_2 a_3) True)
% 164.31/164.61 (Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (para a_4 a_5 a_6 a_7) False))
% 164.31/164.61 Clause #515 (by clausification #[40]): ∀ (a : Iota), Eq (∀ (B P Q : Iota), cyclic a B P Q → eqangle P a P B Q a Q B) True
% 164.31/164.64 Clause #516 (by clausification #[515]): ∀ (a a_1 : Iota), Eq (∀ (P Q : Iota), cyclic a a_1 P Q → eqangle P a P a_1 Q a Q a_1) True
% 164.31/164.64 Clause #517 (by clausification #[516]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Q : Iota), cyclic a a_1 a_2 Q → eqangle a_2 a a_2 a_1 Q a Q a_1) True
% 164.31/164.64 Clause #518 (by clausification #[517]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) True
% 164.31/164.64 Clause #519 (by clausification #[518]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) True)
% 164.31/164.64 Clause #547 (by clausification #[94]): Eq
% 164.31/164.64 (∀ (A B C A1 S N G H : Iota),
% 164.31/164.64 And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And (And (And (And (midp A1 C B) (eqangle S A A B C A A A1)) (coll S B C)) (coll N A A1)) (perp G N A B))
% 164.31/164.64 (coll G A B))
% 164.31/164.64 (perp H N A C))
% 164.31/164.64 (coll H A C) →
% 164.31/164.64 perp G H A S)
% 164.31/164.64 False
% 164.31/164.64 Clause #548 (by clausification #[547]): ∀ (a : Iota),
% 164.31/164.64 Eq
% 164.31/164.64 (Not
% 164.31/164.64 (∀ (B C A1 S N G H : Iota),
% 164.31/164.64 And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And (And (midp A1 C B) (eqangle S (skS.0 4 a) (skS.0 4 a) B C (skS.0 4 a) (skS.0 4 a) A1))
% 164.31/164.64 (coll S B C))
% 164.31/164.64 (coll N (skS.0 4 a) A1))
% 164.31/164.64 (perp G N (skS.0 4 a) B))
% 164.31/164.64 (coll G (skS.0 4 a) B))
% 164.31/164.64 (perp H N (skS.0 4 a) C))
% 164.31/164.64 (coll H (skS.0 4 a) C) →
% 164.31/164.64 perp G H (skS.0 4 a) S))
% 164.31/164.64 True
% 164.31/164.64 Clause #549 (by clausification #[548]): ∀ (a : Iota),
% 164.31/164.64 Eq
% 164.31/164.64 (∀ (B C A1 S N G H : Iota),
% 164.31/164.64 And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And (And (midp A1 C B) (eqangle S (skS.0 4 a) (skS.0 4 a) B C (skS.0 4 a) (skS.0 4 a) A1))
% 164.31/164.64 (coll S B C))
% 164.31/164.64 (coll N (skS.0 4 a) A1))
% 164.31/164.64 (perp G N (skS.0 4 a) B))
% 164.31/164.64 (coll G (skS.0 4 a) B))
% 164.31/164.64 (perp H N (skS.0 4 a) C))
% 164.31/164.64 (coll H (skS.0 4 a) C) →
% 164.31/164.64 perp G H (skS.0 4 a) S)
% 164.31/164.64 False
% 164.31/164.64 Clause #550 (by clausification #[549]): ∀ (a a_1 : Iota),
% 164.31/164.64 Eq
% 164.31/164.64 (Not
% 164.31/164.64 (∀ (C A1 S N G H : Iota),
% 164.31/164.64 And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And (midp A1 C (skS.0 5 a a_1))
% 164.31/164.64 (eqangle S (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) C (skS.0 4 a) (skS.0 4 a) A1))
% 164.31/164.64 (coll S (skS.0 5 a a_1) C))
% 164.31/164.64 (coll N (skS.0 4 a) A1))
% 164.31/164.64 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.31/164.64 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.31/164.64 (perp H N (skS.0 4 a) C))
% 164.31/164.64 (coll H (skS.0 4 a) C) →
% 164.31/164.64 perp G H (skS.0 4 a) S))
% 164.31/164.64 True
% 164.31/164.64 Clause #551 (by clausification #[550]): ∀ (a a_1 : Iota),
% 164.31/164.64 Eq
% 164.31/164.64 (∀ (C A1 S N G H : Iota),
% 164.31/164.64 And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And (midp A1 C (skS.0 5 a a_1))
% 164.31/164.64 (eqangle S (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) C (skS.0 4 a) (skS.0 4 a) A1))
% 164.31/164.64 (coll S (skS.0 5 a a_1) C))
% 164.31/164.64 (coll N (skS.0 4 a) A1))
% 164.31/164.64 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.31/164.64 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.31/164.64 (perp H N (skS.0 4 a) C))
% 164.31/164.64 (coll H (skS.0 4 a) C) →
% 164.31/164.64 perp G H (skS.0 4 a) S)
% 164.31/164.64 False
% 164.31/164.64 Clause #552 (by clausification #[551]): ∀ (a a_1 a_2 : Iota),
% 164.31/164.64 Eq
% 164.31/164.64 (Not
% 164.31/164.64 (∀ (A1 S N G H : Iota),
% 164.31/164.64 And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And
% 164.31/164.64 (And (midp A1 (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.31/164.64 (eqangle S (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a)
% 164.31/164.64 A1))
% 164.31/164.64 (coll S (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll N (skS.0 4 a) A1))
% 164.42/164.67 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (perp H N (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.42/164.67 perp G H (skS.0 4 a) S))
% 164.42/164.67 True
% 164.42/164.67 Clause #553 (by clausification #[552]): ∀ (a a_1 a_2 : Iota),
% 164.42/164.67 Eq
% 164.42/164.67 (∀ (A1 S N G H : Iota),
% 164.42/164.67 And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And (midp A1 (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.42/164.67 (eqangle S (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a)
% 164.42/164.67 A1))
% 164.42/164.67 (coll S (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll N (skS.0 4 a) A1))
% 164.42/164.67 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (perp H N (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.42/164.67 perp G H (skS.0 4 a) S)
% 164.42/164.67 False
% 164.42/164.67 Clause #554 (by clausification #[553]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.42/164.67 Eq
% 164.42/164.67 (Not
% 164.42/164.67 (∀ (S N G H : Iota),
% 164.42/164.67 And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.42/164.67 (eqangle S (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a)
% 164.42/164.67 (skS.0 7 a a_1 a_2 a_3)))
% 164.42/164.67 (coll S (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll N (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.42/164.67 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (perp H N (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.42/164.67 perp G H (skS.0 4 a) S))
% 164.42/164.67 True
% 164.42/164.67 Clause #555 (by clausification #[554]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.42/164.67 Eq
% 164.42/164.67 (∀ (S N G H : Iota),
% 164.42/164.67 And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.42/164.67 (eqangle S (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a)
% 164.42/164.67 (skS.0 7 a a_1 a_2 a_3)))
% 164.42/164.67 (coll S (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll N (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.42/164.67 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (perp H N (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.42/164.67 perp G H (skS.0 4 a) S)
% 164.42/164.67 False
% 164.42/164.67 Clause #556 (by clausification #[555]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.42/164.67 Eq
% 164.42/164.67 (Not
% 164.42/164.67 (∀ (N G H : Iota),
% 164.42/164.67 And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.42/164.67 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.42/164.67 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.42/164.67 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll N (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.42/164.67 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.42/164.67 (perp H N (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.42/164.67 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.42/164.67 perp G H (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4)))
% 164.42/164.67 True
% 164.42/164.67 Clause #557 (by clausification #[556]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.42/164.67 Eq
% 164.42/164.67 (∀ (N G H : Iota),
% 164.42/164.67 And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And
% 164.42/164.67 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.70 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.70 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll N (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (perp G N (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (perp H N (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.70 perp G H (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4))
% 164.47/164.70 False
% 164.47/164.70 Clause #558 (by clausification #[557]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.47/164.70 Eq
% 164.47/164.70 (Not
% 164.47/164.70 (∀ (G H : Iota),
% 164.47/164.70 And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.70 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.70 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (perp G (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (perp H (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.70 perp G H (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4)))
% 164.47/164.70 True
% 164.47/164.70 Clause #559 (by clausification #[558]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.47/164.70 Eq
% 164.47/164.70 (∀ (G H : Iota),
% 164.47/164.70 And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.70 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.70 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (perp G (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (coll G (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (perp H (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.70 perp G H (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4))
% 164.47/164.70 False
% 164.47/164.70 Clause #560 (by clausification #[559]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.47/164.70 Eq
% 164.47/164.70 (Not
% 164.47/164.70 (∀ (H : Iota),
% 164.47/164.70 And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And
% 164.47/164.70 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.70 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.70 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.70 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a)
% 164.47/164.70 (skS.0 5 a a_1)))
% 164.47/164.70 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.70 (perp H (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.47/164.70 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.70 perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) H (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4)))
% 164.47/164.70 True
% 164.47/164.70 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.47/164.70 Eq
% 164.47/164.70 (∀ (H : Iota),
% 164.47/164.70 And
% 164.47/164.70 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.72 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.72 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.72 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.72 (perp H (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll H (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.72 perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) H (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4))
% 164.47/164.72 False
% 164.47/164.72 Clause #562 (by clausification #[561]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.47/164.72 Eq
% 164.47/164.72 (Not
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.72 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.72 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.72 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.72 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a)
% 164.47/164.72 (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.72 perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 4 a)
% 164.47/164.72 (skS.0 8 a a_1 a_2 a_3 a_4)))
% 164.47/164.72 True
% 164.47/164.72 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.47/164.72 Eq
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.72 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.72 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.72 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.47/164.72 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a)
% 164.47/164.72 (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 4 a) (skS.0 6 a a_1 a_2)) →
% 164.47/164.72 perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 4 a)
% 164.47/164.72 (skS.0 8 a a_1 a_2 a_3 a_4))
% 164.47/164.72 False
% 164.47/164.72 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.47/164.72 Eq
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And
% 164.47/164.72 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.47/164.72 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.47/164.72 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.47/164.72 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.47/164.72 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.52/164.75 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.52/164.75 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.52/164.75 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.52/164.75 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.52/164.75 True
% 164.52/164.75 Clause #565 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.52/164.75 Eq
% 164.52/164.75 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 4 a)
% 164.52/164.75 (skS.0 8 a a_1 a_2 a_3 a_4))
% 164.52/164.75 False
% 164.52/164.75 Clause #567 (by clausification #[564]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.52/164.75 Eq
% 164.52/164.75 (And
% 164.52/164.75 (And
% 164.52/164.75 (And
% 164.52/164.75 (And
% 164.52/164.75 (And
% 164.52/164.75 (And (midp (skS.0 7 a a_1 a_2 a_3) (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))
% 164.52/164.75 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)
% 164.52/164.75 (skS.0 4 a) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.52/164.75 (coll (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 164.52/164.75 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 7 a a_1 a_2 a_3)))
% 164.52/164.75 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.52/164.75 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)))
% 164.52/164.75 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2)))
% 164.52/164.75 True
% 164.52/164.75 Clause #572 (by clausification #[65]): ∀ (a : Iota), Eq (∀ (B C D O : Iota), And (And (para a B C D) (coll O a C)) (coll O B D) → eqratio O a a C O B B D) True
% 164.52/164.75 Clause #573 (by clausification #[572]): ∀ (a a_1 : Iota),
% 164.52/164.75 Eq (∀ (C D O : Iota), And (And (para a a_1 C D) (coll O a C)) (coll O a_1 D) → eqratio O a a C O a_1 a_1 D) True
% 164.52/164.75 Clause #574 (by clausification #[573]): ∀ (a a_1 a_2 : Iota),
% 164.52/164.75 Eq (∀ (D O : Iota), And (And (para a a_1 a_2 D) (coll O a a_2)) (coll O a_1 D) → eqratio O a a a_2 O a_1 a_1 D) True
% 164.52/164.75 Clause #575 (by clausification #[574]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.52/164.75 Eq (∀ (O : Iota), And (And (para a a_1 a_2 a_3) (coll O a a_2)) (coll O a_1 a_3) → eqratio O a a a_2 O a_1 a_1 a_3)
% 164.52/164.75 True
% 164.52/164.75 Clause #576 (by clausification #[575]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.52/164.75 Eq (And (And (para a a_1 a_2 a_3) (coll a_4 a a_2)) (coll a_4 a_1 a_3) → eqratio a_4 a a a_2 a_4 a_1 a_1 a_3) True
% 164.52/164.75 Clause #577 (by clausification #[576]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.52/164.75 Or (Eq (And (And (para a a_1 a_2 a_3) (coll a_4 a a_2)) (coll a_4 a_1 a_3)) False)
% 164.52/164.75 (Eq (eqratio a_4 a a a_2 a_4 a_1 a_1 a_3) True)
% 164.52/164.75 Clause #578 (by clausification #[577]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.52/164.75 Or (Eq (eqratio a a_1 a_1 a_2 a a_3 a_3 a_4) True)
% 164.52/164.75 (Or (Eq (And (para a_1 a_3 a_2 a_4) (coll a a_1 a_2)) False) (Eq (coll a a_3 a_4) False))
% 164.52/164.75 Clause #579 (by clausification #[578]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.52/164.75 Or (Eq (eqratio a a_1 a_1 a_2 a a_3 a_3 a_4) True)
% 164.52/164.75 (Or (Eq (coll a a_3 a_4) False) (Or (Eq (para a_1 a_3 a_2 a_4) False) (Eq (coll a a_1 a_2) False)))
% 164.52/164.75 Clause #608 (by clausification #[25]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio B a C D P Q U V) True
% 164.52/164.75 Clause #609 (by clausification #[608]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio a_1 a C D P Q U V) True
% 164.52/164.75 Clause #610 (by clausification #[609]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio a_1 a a_2 D P Q U V) True
% 164.52/164.75 Clause #611 (by clausification #[610]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio a_1 a a_2 a_3 P Q U V) True
% 164.52/164.75 Clause #612 (by clausification #[611]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.52/164.75 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a_1 a a_2 a_3 a_4 Q U V) True
% 164.52/164.75 Clause #613 (by clausification #[612]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.52/164.75 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a_1 a a_2 a_3 a_4 a_5 U V) True
% 164.53/164.77 Clause #614 (by clausification #[613]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.53/164.77 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a_1 a a_2 a_3 a_4 a_5 a_6 V) True
% 164.53/164.77 Clause #615 (by clausification #[614]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.53/164.77 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True
% 164.53/164.77 Clause #616 (by clausification #[615]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.53/164.77 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True)
% 164.53/164.77 Clause #625 (by clausification #[39]): ∀ (a : Iota), Eq (∀ (B C D P Q : Iota), para a B C D → eqangle a B P Q C D P Q) True
% 164.53/164.77 Clause #626 (by clausification #[625]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q : Iota), para a a_1 C D → eqangle a a_1 P Q C D P Q) True
% 164.53/164.77 Clause #627 (by clausification #[626]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q : Iota), para a a_1 a_2 D → eqangle a a_1 P Q a_2 D P Q) True
% 164.53/164.77 Clause #628 (by clausification #[627]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q : Iota), para a a_1 a_2 a_3 → eqangle a a_1 P Q a_2 a_3 P Q) True
% 164.53/164.77 Clause #629 (by clausification #[628]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (Q : Iota), para a a_1 a_2 a_3 → eqangle a a_1 a_4 Q a_2 a_3 a_4 Q) True
% 164.53/164.77 Clause #630 (by clausification #[629]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (para a a_1 a_2 a_3 → eqangle a a_1 a_4 a_5 a_2 a_3 a_4 a_5) True
% 164.53/164.77 Clause #631 (by clausification #[630]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (eqangle a a_1 a_4 a_5 a_2 a_3 a_4 a_5) True)
% 164.53/164.77 Clause #657 (by clausification #[26]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio C D a B U V P Q) True
% 164.53/164.77 Clause #658 (by clausification #[657]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio C D a a_1 U V P Q) True
% 164.53/164.77 Clause #659 (by clausification #[658]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio a_2 D a a_1 U V P Q) True
% 164.53/164.77 Clause #660 (by clausification #[659]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio a_2 a_3 a a_1 U V P Q) True
% 164.53/164.77 Clause #661 (by clausification #[660]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.53/164.77 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a_2 a_3 a a_1 U V a_4 Q) True
% 164.53/164.77 Clause #662 (by clausification #[661]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.53/164.77 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a_2 a_3 a a_1 U V a_4 a_5) True
% 164.53/164.77 Clause #663 (by clausification #[662]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.53/164.77 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a_2 a_3 a a_1 a_6 V a_4 a_5) True
% 164.53/164.77 Clause #664 (by clausification #[663]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.53/164.77 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True
% 164.53/164.77 Clause #665 (by clausification #[664]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.53/164.77 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True)
% 164.53/164.77 Clause #712 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio P Q U V a B C D) True
% 164.53/164.77 Clause #713 (by clausification #[712]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio P Q U V a a_1 C D) True
% 164.53/164.77 Clause #714 (by clausification #[713]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio P Q U V a a_1 a_2 D) True
% 164.53/164.77 Clause #715 (by clausification #[714]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio P Q U V a a_1 a_2 a_3) True
% 164.53/164.77 Clause #716 (by clausification #[715]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.53/164.77 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a_4 Q U V a a_1 a_2 a_3) True
% 164.53/164.77 Clause #717 (by clausification #[716]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.53/164.77 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a_4 a_5 U V a a_1 a_2 a_3) True
% 164.58/164.80 Clause #718 (by clausification #[717]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.58/164.80 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a_4 a_5 a_6 V a a_1 a_2 a_3) True
% 164.58/164.80 Clause #719 (by clausification #[718]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.80 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True
% 164.58/164.80 Clause #720 (by clausification #[719]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.80 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True)
% 164.58/164.80 Clause #730 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio a B P Q C D U V) True
% 164.58/164.80 Clause #731 (by clausification #[730]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio a a_1 P Q C D U V) True
% 164.58/164.80 Clause #732 (by clausification #[731]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio a a_1 P Q a_2 D U V) True
% 164.58/164.80 Clause #733 (by clausification #[732]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio a a_1 P Q a_2 a_3 U V) True
% 164.58/164.80 Clause #734 (by clausification #[733]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.58/164.80 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a a_1 a_4 Q a_2 a_3 U V) True
% 164.58/164.80 Clause #735 (by clausification #[734]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.58/164.80 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a a_1 a_4 a_5 a_2 a_3 U V) True
% 164.58/164.80 Clause #736 (by clausification #[735]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.58/164.80 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a a_1 a_4 a_5 a_2 a_3 a_6 V) True
% 164.58/164.80 Clause #737 (by clausification #[736]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.80 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True
% 164.58/164.80 Clause #738 (by clausification #[737]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.80 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True)
% 164.58/164.80 Clause #778 (by clausification #[29]): ∀ (a : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (B C D E F G H P Q U V : Iota),
% 164.58/164.80 And (eqratio a B C D P Q U V) (eqratio P Q U V E F G H) → eqratio a B C D E F G H)
% 164.58/164.80 True
% 164.58/164.80 Clause #779 (by clausification #[778]): ∀ (a a_1 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (C D E F G H P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 C D P Q U V) (eqratio P Q U V E F G H) → eqratio a a_1 C D E F G H)
% 164.58/164.80 True
% 164.58/164.80 Clause #780 (by clausification #[779]): ∀ (a a_1 a_2 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (D E F G H P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 D P Q U V) (eqratio P Q U V E F G H) → eqratio a a_1 a_2 D E F G H)
% 164.58/164.80 True
% 164.58/164.80 Clause #781 (by clausification #[780]): ∀ (a a_1 a_2 a_3 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (E F G H P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V E F G H) → eqratio a a_1 a_2 a_3 E F G H)
% 164.58/164.80 True
% 164.58/164.80 Clause #782 (by clausification #[781]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (F G H P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 F G H) → eqratio a a_1 a_2 a_3 a_4 F G H)
% 164.58/164.80 True
% 164.58/164.80 Clause #783 (by clausification #[782]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (G H P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 a_5 G H) → eqratio a a_1 a_2 a_3 a_4 a_5 G H)
% 164.58/164.80 True
% 164.58/164.80 Clause #784 (by clausification #[783]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (H P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 a_5 a_6 H) → eqratio a a_1 a_2 a_3 a_4 a_5 a_6 H)
% 164.58/164.80 True
% 164.58/164.80 Clause #785 (by clausification #[784]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (P Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 a_5 a_6 a_7) → eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 164.58/164.80 True
% 164.58/164.80 Clause #786 (by clausification #[785]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 164.58/164.80 Eq
% 164.58/164.80 (∀ (Q U V : Iota),
% 164.58/164.80 And (eqratio a a_1 a_2 a_3 a_4 Q U V) (eqratio a_4 Q U V a_5 a_6 a_7 a_8) → eqratio a a_1 a_2 a_3 a_5 a_6 a_7 a_8)
% 164.58/164.83 True
% 164.58/164.83 Clause #787 (by clausification #[786]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 164.58/164.83 Eq
% 164.58/164.83 (∀ (U V : Iota),
% 164.58/164.83 And (eqratio a a_1 a_2 a_3 a_4 a_5 U V) (eqratio a_4 a_5 U V a_6 a_7 a_8 a_9) →
% 164.58/164.83 eqratio a a_1 a_2 a_3 a_6 a_7 a_8 a_9)
% 164.58/164.83 True
% 164.58/164.83 Clause #788 (by clausification #[787]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 164.58/164.83 Eq
% 164.58/164.83 (∀ (V : Iota),
% 164.58/164.83 And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V) (eqratio a_4 a_5 a_6 V a_7 a_8 a_9 a_10) →
% 164.58/164.83 eqratio a a_1 a_2 a_3 a_7 a_8 a_9 a_10)
% 164.58/164.83 True
% 164.58/164.83 Clause #789 (by clausification #[788]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 164.58/164.83 Eq
% 164.58/164.83 (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (eqratio a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11) →
% 164.58/164.83 eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11)
% 164.58/164.83 True
% 164.58/164.83 Clause #790 (by clausification #[789]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 164.58/164.83 Or (Eq (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (eqratio a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) False)
% 164.58/164.83 (Eq (eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11) True)
% 164.58/164.83 Clause #791 (by clausification #[790]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 164.58/164.83 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True)
% 164.58/164.83 (Or (Eq (eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11) False) (Eq (eqratio a_8 a_9 a_10 a_11 a_4 a_5 a_6 a_7) False))
% 164.58/164.83 Clause #881 (by clausification #[567]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.83 Eq (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a) (skS.0 6 a a_1 a_2))
% 164.58/164.83 True
% 164.58/164.83 Clause #883 (by superposition #[881, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.83 Or (Eq True False)
% 164.58/164.83 (Eq (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 4 a))
% 164.58/164.83 True)
% 164.58/164.83 Clause #1526 (by clausification #[883]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.83 Eq (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 4 a))
% 164.58/164.83 True
% 164.58/164.83 Clause #1527 (by superposition #[1526, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.83 Or (Eq True False)
% 164.58/164.83 (Eq (perp (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))
% 164.58/164.83 True)
% 164.58/164.83 Clause #1538 (by clausification #[1527]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.58/164.83 Eq (perp (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))
% 164.58/164.83 True
% 164.58/164.83 Clause #1540 (by superposition #[1538, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 164.58/164.83 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4) True)
% 164.58/164.83 (Or (Eq True False)
% 164.58/164.83 (Eq (perp (skS.0 11 a a_1 a_2 a_5 a_6 a_7 a_8 a_9) (skS.0 9 a a_1 a_2 a_5 a_6 a_7) a_3 a_4) False))
% 164.58/164.83 Clause #1619 (by clausification #[1540]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 164.58/164.83 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4) True)
% 164.58/164.83 (Eq (perp (skS.0 11 a a_1 a_2 a_5 a_6 a_7 a_8 a_9) (skS.0 9 a a_1 a_2 a_5 a_6 a_7) a_3 a_4) False)
% 164.58/164.83 Clause #1621 (by superposition #[1619, 1526]): ∀ (a a_1 a_2 : Iota),
% 164.58/164.83 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 4 a)) True) (Eq False True)
% 164.58/164.83 Clause #1623 (by clausification #[1621]): ∀ (a a_1 a_2 : Iota), Eq (para (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 4 a)) True
% 164.58/164.83 Clause #1625 (by superposition #[1623, 156]): ∀ (a a_1 a_2 : Iota),
% 164.58/164.83 Or (Eq True False) (Eq (para (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a) (skS.0 6 a a_1 a_2)) True)
% 164.58/164.83 Clause #1629 (by clausification #[1625]): ∀ (a a_1 a_2 : Iota), Eq (para (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a) (skS.0 6 a a_1 a_2)) True
% 164.58/164.83 Clause #1633 (by superposition #[1629, 189]): ∀ (a a_1 a_2 : Iota),
% 164.58/164.83 Or (Eq True False) (Eq (para (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 4 a)) True)
% 164.58/164.83 Clause #1637 (by clausification #[1633]): ∀ (a a_1 a_2 : Iota), Eq (para (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 4 a)) True
% 164.58/164.83 Clause #1644 (by superposition #[1637, 631]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.58/164.83 Or (Eq True False) (Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4) True)
% 164.62/164.85 Clause #1651 (by clausification #[1644]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.85 Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4) True
% 164.62/164.85 Clause #1653 (by superposition #[1651, 496]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.85 Or (Eq True False) (Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4 a_3 a_4) True)
% 164.62/164.85 Clause #1655 (by clausification #[1653]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.85 Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4 a_3 a_4) True
% 164.62/164.85 Clause #1658 (by superposition #[1655, 441]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.85 Or (Eq True False)
% 164.62/164.85 (Eq (eqangle a a_1 a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4) (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2)) True)
% 164.62/164.85 Clause #1663 (by clausification #[1658]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.85 Eq (eqangle a a_1 a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4) (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2)) True
% 164.62/164.85 Clause #1665 (by superposition #[1663, 397]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False)
% 164.62/164.86 (Eq (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2) (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True)
% 164.62/164.86 Clause #1670 (by clausification #[1665]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2) (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True
% 164.62/164.86 Clause #1674 (by superposition #[1670, 496]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False)
% 164.62/164.86 (Eq (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2) a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True)
% 164.62/164.86 Clause #1678 (by clausification #[1674]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2) a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True
% 164.62/164.86 Clause #1679 (by superposition #[1678, 352]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False)
% 164.62/164.86 (Eq (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2) a_1 a (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True)
% 164.62/164.86 Clause #1683 (by clausification #[1679]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2) a_1 a (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True
% 164.62/164.86 Clause #1687 (by superposition #[1683, 441]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False)
% 164.62/164.86 (Eq (eqangle a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4) a_1 a (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2)) True)
% 164.62/164.86 Clause #1692 (by clausification #[1687]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4) a_1 a (skS.0 6 a_2 a_3 a_4) (skS.0 4 a_2)) True
% 164.62/164.86 Clause #1695 (by superposition #[1692, 397]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False) (Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 (skS.0 6 a a_1 a_2) (skS.0 4 a) a_4 a_3) True)
% 164.62/164.86 Clause #1700 (by clausification #[1695]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 (skS.0 6 a a_1 a_2) (skS.0 4 a) a_4 a_3) True
% 164.62/164.86 Clause #1703 (by superposition #[1700, 496]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False) (Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4 a_4 a_3) True)
% 164.62/164.86 Clause #1706 (by clausification #[1703]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 4 a) a_3 a_4 a_4 a_3) True
% 164.62/164.86 Clause #1708 (by superposition #[1706, 397]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 a_4 a_3) True)
% 164.62/164.86 Clause #1717 (by clausification #[1708]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 a_4 a_3) True
% 164.62/164.86 Clause #1718 (by superposition #[1717, 352]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Or (Eq True False) (Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 a_4 a_3) True)
% 164.62/164.86 Clause #1723 (by clausification #[1718]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.86 Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 a_4 a_3) True
% 164.62/164.86 Clause #1730 (by superposition #[1723, 496]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.88 Or (Eq True False) (Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 (skS.0 4 a) (skS.0 6 a a_1 a_2) a_4 a_3) True)
% 164.62/164.88 Clause #1735 (by clausification #[1730]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.88 Eq (eqangle (skS.0 4 a) (skS.0 6 a a_1 a_2) a_3 a_4 (skS.0 4 a) (skS.0 6 a a_1 a_2) a_4 a_3) True
% 164.62/164.88 Clause #1740 (by superposition #[1735, 397]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.88 Or (Eq True False)
% 164.62/164.88 (Eq (eqangle a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4) a_1 a (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True)
% 164.62/164.88 Clause #1747 (by clausification #[1740]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 164.62/164.88 Eq (eqangle a a_1 (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4) a_1 a (skS.0 4 a_2) (skS.0 6 a_2 a_3 a_4)) True
% 164.62/164.88 Clause #1752 (by superposition #[1747, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True)
% 164.62/164.88 Clause #1760 (by clausification #[1752]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True
% 164.62/164.88 Clause #1767 (by superposition #[1760, 107]): ∀ (a : Iota), Or (Eq True False) (Eq (coll a a a) True)
% 164.62/164.88 Clause #1769 (by superposition #[1760, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True)
% 164.62/164.88 Clause #1772 (by superposition #[1760, 631]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_3 a_1 a a_2 a_3) True)
% 164.62/164.88 Clause #1782 (by clausification #[1767]): ∀ (a : Iota), Eq (coll a a a) True
% 164.62/164.88 Clause #1792 (by superposition #[1782, 579]): ∀ (a a_1 a_2 : Iota),
% 164.62/164.88 Or (Eq (eqratio a a_1 a_1 a_2 a a a a) True)
% 164.62/164.88 (Or (Eq True False) (Or (Eq (para a_1 a a_2 a) False) (Eq (coll a a_1 a_2) False)))
% 164.62/164.88 Clause #1798 (by clausification #[1769]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True
% 164.62/164.88 Clause #1799 (by superposition #[1798, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True)
% 164.62/164.88 Clause #1804 (by clausification #[1799]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True
% 164.62/164.88 Clause #1817 (by superposition #[1804, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True)
% 164.62/164.88 Clause #1826 (by clausification #[1817]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True
% 164.62/164.88 Clause #1841 (by superposition #[1826, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True)
% 164.62/164.88 Clause #1850 (by clausification #[1841]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True
% 164.62/164.88 Clause #1865 (by superposition #[1850, 125]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False))
% 164.62/164.88 Clause #1884 (by clausification #[1772]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_3 a_1 a a_2 a_3) True
% 164.62/164.88 Clause #1893 (by superposition #[1884, 496]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_1 a a_2 a_3 a_2 a_3) True)
% 164.62/164.88 Clause #1912 (by clausification #[1893]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_1 a a_2 a_3 a_2 a_3) True
% 164.62/164.88 Clause #1913 (by superposition #[1912, 162]): ∀ (a a_1 : Iota), Or (Eq (cyclic a a a a_1) True) (Or (Eq True False) (Eq (coll a a_1 a) False))
% 164.62/164.88 Clause #1919 (by superposition #[1912, 477]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_1 a) True) (Or (Eq True False) (Eq (perp a_2 a_3 a_2 a_3) False))
% 164.62/164.88 Clause #1956 (by clausification #[1865]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 164.62/164.88 Clause #1962 (by superposition #[1956, 1850]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True)
% 164.62/164.88 Clause #1966 (by clausification #[1962]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True
% 164.62/164.88 Clause #2025 (by clausification #[1913]): ∀ (a a_1 : Iota), Or (Eq (cyclic a a a a_1) True) (Eq (coll a a_1 a) False)
% 164.62/164.88 Clause #2026 (by forward demodulation #[2025, 1966]): ∀ (a a_1 : Iota), Or (Eq (cyclic a a a a_1) True) (Eq True False)
% 164.62/164.88 Clause #2027 (by clausification #[2026]): ∀ (a a_1 : Iota), Eq (cyclic a a a a_1) True
% 164.62/164.88 Clause #2030 (by superposition #[2027, 290]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Or (Eq True False) (Eq (cyclic a a a a_2) False))
% 164.62/164.88 Clause #2080 (by clausification #[1919]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_1 a) True) (Eq (perp a_2 a_3 a_2 a_3) False)
% 164.62/164.88 Clause #2081 (by clausification #[2030]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq (cyclic a a a a_2) False)
% 164.62/164.90 Clause #2082 (by superposition #[2081, 2027]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq False True)
% 164.62/164.90 Clause #2084 (by clausification #[2082]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True
% 164.62/164.90 Clause #2085 (by superposition #[2084, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a a_2) True)
% 164.62/164.90 Clause #2095 (by clausification #[2085]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a a_2) True
% 164.62/164.90 Clause #2097 (by superposition #[2095, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a) True)
% 164.62/164.90 Clause #2099 (by superposition #[2095, 290]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cyclic a_1 a a_1 a_3) False))
% 164.62/164.90 Clause #2102 (by clausification #[2097]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a) True
% 164.62/164.90 Clause #2103 (by superposition #[2102, 174]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_1) True)
% 164.62/164.90 Clause #2106 (by superposition #[2102, 519]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_2 a_1 a_1 a_1 a_2) True)
% 164.62/164.90 Clause #2108 (by clausification #[2103]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_1) True
% 164.62/164.90 Clause #2109 (by superposition #[2108, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_2) True)
% 164.62/164.90 Clause #2114 (by clausification #[2109]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_2) True
% 164.62/164.90 Clause #2115 (by superposition #[2114, 206]): ∀ (a a_1 a_2 : Iota),
% 164.62/164.90 Or (Eq (perp a a_1 a_1 a) True) (Or (Eq True False) (Or (Eq (cong a_1 a a_2 a) False) (Eq (cong a_1 a a_2 a) False)))
% 164.62/164.90 Clause #2128 (by clausification #[2106]): ∀ (a a_1 a_2 : Iota), Eq (eqangle a a_1 a a_2 a_1 a_1 a_1 a_2) True
% 164.62/164.90 Clause #2129 (by superposition #[2128, 352]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_1 a_2 a a a a_2) True)
% 164.62/164.90 Clause #2137 (by clausification #[2129]): ∀ (a a_1 a_2 : Iota), Eq (eqangle a a_1 a_1 a_2 a a a a_2) True
% 164.62/164.90 Clause #2141 (by superposition #[2137, 496]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a a_1 a_2 a a_2) True)
% 164.62/164.90 Clause #2144 (by clausification #[2141]): ∀ (a a_1 a_2 : Iota), Eq (eqangle a a_1 a a a_1 a_2 a a_2) True
% 164.62/164.90 Clause #2147 (by superposition #[2144, 441]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_1 a_2 a a_2 a_2) True)
% 164.62/164.90 Clause #2156 (by clausification #[2147]): ∀ (a a_1 a_2 : Iota), Eq (eqangle a a_1 a_2 a_1 a_2 a a_2 a_2) True
% 164.62/164.90 Clause #2157 (by superposition #[2156, 369]): ∀ (a a_1 : Iota),
% 164.62/164.90 Or (Eq (cong a a a_1 a_1) True)
% 164.62/164.90 (Or (Eq True False)
% 164.62/164.90 (Or (Eq (cyclic a a a_1 a_1) False) (Or (Eq (cyclic a a a_1 a_1) False) (Eq (cyclic a a a_1 a_1) False))))
% 164.62/164.90 Clause #2348 (by clausification #[2099]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a_1 a a_1 a_3) False)
% 164.62/164.90 Clause #2349 (by superposition #[2348, 2095]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True)
% 164.62/164.90 Clause #2350 (by clausification #[2349]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True
% 164.62/164.90 Clause #2354 (by backward demodulation #[2350, 519]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_2 a_3 a_1 a_3 a_2) True)
% 164.62/164.90 Clause #2358 (by clausification #[2354]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_2 a_3 a_1 a_3 a_2) True
% 164.62/164.90 Clause #2361 (by superposition #[2358, 496]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_1 a a_3 a_2 a_3) True)
% 164.62/164.90 Clause #2364 (by clausification #[2361]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_1 a a_3 a_2 a_3) True
% 164.62/164.90 Clause #2365 (by superposition #[2364, 352]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a a_1 a_3 a_2 a_3) True)
% 164.62/164.90 Clause #2369 (by clausification #[2365]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a a_1 a_3 a_2 a_3) True
% 164.62/164.90 Clause #2371 (by superposition #[2369, 441]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_1 a_3 a a_2 a_3) True)
% 164.62/164.90 Clause #2375 (by clausification #[2371]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_1 a_3 a a_2 a_3) True
% 164.62/164.92 Clause #2377 (by superposition #[2375, 397]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_1 a a_3 a_3 a_2) True)
% 164.62/164.92 Clause #2414 (by clausification #[2377]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_1 a a_3 a_3 a_2) True
% 164.62/164.92 Clause #2417 (by superposition #[2414, 514]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_1) True) (Or (Eq True False) (Eq (para a a_3 a_3 a_2) False))
% 164.62/164.92 Clause #2501 (by clausification #[2417]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_1) True) (Eq (para a a_3 a_3 a_2) False)
% 164.62/164.92 Clause #2679 (by clausification #[2115]): ∀ (a a_1 a_2 : Iota), Or (Eq (perp a a_1 a_1 a) True) (Or (Eq (cong a_1 a a_2 a) False) (Eq (cong a_1 a a_2 a) False))
% 164.62/164.92 Clause #2680 (by eliminate duplicate literals #[2679]): ∀ (a a_1 a_2 : Iota), Or (Eq (perp a a_1 a_1 a) True) (Eq (cong a_1 a a_2 a) False)
% 164.62/164.92 Clause #2918 (by clausification #[1792]): ∀ (a a_1 a_2 : Iota),
% 164.62/164.92 Or (Eq (eqratio a a_1 a_1 a_2 a a a a) True) (Or (Eq (para a_1 a a_2 a) False) (Eq (coll a a_1 a_2) False))
% 164.62/164.92 Clause #2919 (by forward demodulation #[2918, 1966]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a_1 a_1 a_2 a a a a) True) (Or (Eq (para a_1 a a_2 a) False) (Eq True False))
% 164.62/164.92 Clause #2920 (by clausification #[2919]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a_1 a_1 a_2 a a a a) True) (Eq (para a_1 a a_2 a) False)
% 164.62/164.92 Clause #2922 (by superposition #[2920, 1798]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a_1 a_1 a_1 a a a a) True) (Eq False True)
% 164.62/164.92 Clause #2928 (by clausification #[2922]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a a a a) True
% 164.62/164.92 Clause #2931 (by superposition #[2928, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a a_1 a_1 a_1 a_1) True)
% 164.62/164.92 Clause #2933 (by superposition #[2928, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a_1 a_1 a a) True)
% 164.62/164.92 Clause #2935 (by clausification #[2933]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a_1 a_1 a a) True
% 164.62/164.92 Clause #2937 (by superposition #[2935, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a a a_1 a_1) True)
% 164.62/164.92 Clause #2939 (by superposition #[2935, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a_1 a a_1 a_1) True)
% 164.62/164.92 Clause #2954 (by clausification #[2937]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a a a_1 a_1) True
% 164.62/164.92 Clause #2956 (by superposition #[2954, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a a a a_1 a_1) True)
% 164.62/164.92 Clause #2957 (by superposition #[2954, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a_1 a_1 a_1) True)
% 164.62/164.92 Clause #2959 (by clausification #[2957]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a a_1 a_1 a_1) True
% 164.62/164.92 Clause #2961 (by superposition #[2959, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a a_1 a) True)
% 164.62/164.92 Clause #2980 (by clausification #[2961]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a a a_1 a) True
% 164.62/164.92 Clause #2982 (by superposition #[2980, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.62/164.92 Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) (Or (Eq True False) (Eq (eqratio a a a_1 a a_2 a_3 a_4 a_5) False))
% 164.62/164.92 Clause #2986 (by clausification #[2939]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a_1 a a_1 a_1) True
% 164.62/164.92 Clause #2991 (by clausification #[2956]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a a a a_1 a_1) True
% 164.62/164.92 Clause #2994 (by clausification #[2931]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a a_1 a_1 a_1 a_1) True
% 164.62/164.92 Clause #3025 (by clausification #[2982]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.62/164.92 Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) (Eq (eqratio a a a_1 a a_2 a_3 a_4 a_5) False)
% 164.62/164.92 Clause #3030 (by superposition #[3025, 2991]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a_1 a_1 a a a_1 a_1) True) (Eq False True)
% 164.62/164.92 Clause #3031 (by superposition #[3025, 2994]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a_1 a_1 a_1 a_1 a_1 a_1) True) (Eq False True)
% 164.62/164.92 Clause #3037 (by clausification #[3031]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a_1 a_1 a_1 a_1) True
% 164.62/164.92 Clause #3040 (by superposition #[3037, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a_1 a_1 a a) True)
% 164.72/164.94 Clause #3042 (by clausification #[3040]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a_1 a_1 a a) True
% 164.72/164.94 Clause #3046 (by superposition #[3042, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.72/164.94 Or (Eq (eqratio a a a a a_1 a_2 a_3 a_4) True) (Or (Eq True False) (Eq (eqratio a_5 a_5 a a a_1 a_2 a_3 a_4) False))
% 164.72/164.94 Clause #3054 (by clausification #[3030]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a a a_1 a_1) True
% 164.72/164.94 Clause #3057 (by superposition #[3054, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a_1 a_1 a_1 a_1) True)
% 164.72/164.94 Clause #3059 (by clausification #[3057]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a_1 a_1 a_1 a_1) True
% 164.72/164.94 Clause #3075 (by clausification #[3046]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.72/164.94 Or (Eq (eqratio a a a a a_1 a_2 a_3 a_4) True) (Eq (eqratio a_5 a_5 a a a_1 a_2 a_3 a_4) False)
% 164.72/164.94 Clause #3077 (by superposition #[3075, 2986]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a a a a_1 a a) True) (Eq False True)
% 164.72/164.94 Clause #3082 (by clausification #[3077]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a a_1 a a) True
% 164.72/164.94 Clause #3086 (by superposition #[3082, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a_1 a a a a) True)
% 164.72/164.94 Clause #3088 (by clausification #[3086]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a a a a) True
% 164.72/164.94 Clause #3091 (by superposition #[3088, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.72/164.94 Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True) (Or (Eq True False) (Eq (eqratio a a a a a_2 a_3 a_4 a_5) False))
% 164.72/164.94 Clause #3132 (by clausification #[3091]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 164.72/164.94 Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True) (Eq (eqratio a a a a a_2 a_3 a_4 a_5) False)
% 164.72/164.94 Clause #3140 (by superposition #[3132, 3059]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_2 a_2 a_2) True) (Eq False True)
% 164.72/164.94 Clause #3169 (by clausification #[3140]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a a_1 a_2 a_2 a_2 a_2) True
% 164.72/164.94 Clause #3173 (by superposition #[3169, 738]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a_2 a_1 a_1) True)
% 164.72/164.94 Clause #3177 (by clausification #[3173]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a_1 a_1 a a_2 a_1 a_1) True
% 164.72/164.94 Clause #3183 (by superposition #[3177, 3075]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a a) True) (Eq True False)
% 164.72/164.94 Clause #3185 (by clausification #[3183]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a a a_1 a_2 a a) True
% 164.72/164.94 Clause #3191 (by superposition #[3185, 3132]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a a) True) (Eq True False)
% 164.72/164.94 Clause #3192 (by clausification #[3191]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a a) True
% 164.72/164.94 Clause #3196 (by superposition #[3192, 738]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a a) True)
% 164.72/164.94 Clause #3203 (by clausification #[3196]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a a) True
% 164.72/164.94 Clause #3208 (by superposition #[3203, 3075]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a_1 a_1) True) (Eq True False)
% 164.72/164.94 Clause #3209 (by clausification #[3208]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a a a_1 a_2 a_1 a_1) True
% 164.72/164.94 Clause #3213 (by superposition #[3209, 3132]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a_2 a_2) True) (Eq True False)
% 164.72/164.94 Clause #3214 (by clausification #[3213]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a_2 a_2) True
% 164.72/164.94 Clause #3217 (by superposition #[3214, 738]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a_1 a_1) True)
% 164.72/164.94 Clause #3219 (by clausification #[3217]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a_1 a_1) True
% 164.72/164.94 Clause #3221 (by superposition #[3219, 665]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_2 a a a_2 a_3) True)
% 164.72/164.94 Clause #3226 (by clausification #[3221]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a_1 a_2 a_2 a a a_2 a_3) True
% 164.72/164.94 Clause #3230 (by superposition #[3226, 3075]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a a a_1 a_1 a a_2) True) (Eq True False)
% 164.72/164.94 Clause #3231 (by clausification #[3230]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a a a_1 a_1 a a_2) True
% 164.72/164.97 Clause #3237 (by superposition #[3231, 3132]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_2 a a_3) True) (Eq True False)
% 164.72/164.97 Clause #3238 (by clausification #[3237]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a_1 a_2 a_2 a a_3) True
% 164.72/164.97 Clause #3242 (by superposition #[3238, 738]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a_2 a a_3) True)
% 164.72/164.97 Clause #3244 (by clausification #[3242]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_1 a a_2 a a_3) True
% 164.72/164.97 Clause #3250 (by superposition #[3244, 3075]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a_1 a_3) True) (Eq True False)
% 164.72/164.97 Clause #3255 (by clausification #[3250]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a a_1 a_2 a_1 a_3) True
% 164.72/164.97 Clause #3261 (by superposition #[3255, 3132]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a_2 a_4) True) (Eq True False)
% 164.72/164.97 Clause #3262 (by clausification #[3261]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a_2 a_4) True
% 164.72/164.97 Clause #3266 (by superposition #[3262, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a_1 a_4) True)
% 164.72/164.97 Clause #3268 (by clausification #[3266]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a_1 a_4) True
% 164.72/164.97 Clause #3275 (by superposition #[3268, 3075]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a a_3) True) (Eq True False)
% 164.72/164.97 Clause #3276 (by clausification #[3275]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a a_1 a_2 a a_3) True
% 164.72/164.97 Clause #3282 (by superposition #[3276, 3132]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a a_4) True) (Eq True False)
% 164.72/164.97 Clause #3283 (by clausification #[3282]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a a_4) True
% 164.72/164.97 Clause #3287 (by superposition #[3283, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a a_4) True)
% 164.72/164.97 Clause #3292 (by clausification #[3287]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a a_4) True
% 164.72/164.97 Clause #3294 (by superposition #[3292, 665]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_2 a_2 a_3 a_2 a_4) True)
% 164.72/164.97 Clause #3299 (by clausification #[3294]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_2 a_2 a_2 a_3 a_2 a_4) True
% 164.72/164.97 Clause #3301 (by superposition #[3299, 720]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a_2 a_3 a_4 a a) True)
% 164.72/164.97 Clause #3309 (by clausification #[3301]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a a_2 a_3 a_4 a a) True
% 164.72/164.97 Clause #3312 (by superposition #[3309, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a a_4 a a) True)
% 164.72/164.97 Clause #3314 (by clausification #[3312]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_2 a_3 a a_4 a a) True
% 164.72/164.97 Clause #3316 (by superposition #[3314, 616]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a_1 a_4 a_1 a_1) True)
% 164.72/164.97 Clause #3318 (by clausification #[3316]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_2 a_3 a_1 a_4 a_1 a_1) True
% 164.72/164.97 Clause #3321 (by superposition #[3318, 720]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a_2 a a_3 a_4) True)
% 164.72/164.97 Clause #3322 (by superposition #[3318, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 164.72/164.97 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True)
% 164.72/164.97 (Or (Eq True False) (Eq (eqratio a_1 a_8 a_1 a_1 a_4 a_5 a_6 a_7) False))
% 164.72/164.97 Clause #3323 (by clausification #[3321]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a a a_2 a a_3 a_4) True
% 164.72/164.97 Clause #3327 (by superposition #[3323, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a a a a_3 a_4) True)
% 164.72/164.97 Clause #3351 (by clausification #[3327]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_2 a a a a_3 a_4) True
% 164.72/164.97 Clause #3356 (by superposition #[3351, 3025]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a_1 a_1 a a a_2 a_3) True) (Eq True False)
% 164.72/164.97 Clause #3364 (by clausification #[3356]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_1 a a a_2 a_3) True
% 164.72/164.97 Clause #3370 (by superposition #[3364, 3075]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a a_1 a_1 a_2 a_3) True) (Eq True False)
% 164.77/164.99 Clause #3371 (by clausification #[3370]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a a_1 a_1 a_2 a_3) True
% 164.77/164.99 Clause #3377 (by superposition #[3371, 3132]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_2 a_3 a_4) True) (Eq True False)
% 164.77/164.99 Clause #3378 (by clausification #[3377]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a a_1 a_2 a_2 a_3 a_4) True
% 164.77/164.99 Clause #3382 (by superposition #[3378, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a_2 a_3 a_4) True)
% 164.77/164.99 Clause #3384 (by clausification #[3382]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a_1 a_1 a a_2 a_3 a_4) True
% 164.77/164.99 Clause #3390 (by superposition #[3384, 3075]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a_3 a_4) True) (Eq True False)
% 164.77/164.99 Clause #3391 (by clausification #[3390]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a a a_1 a_2 a_3 a_4) True
% 164.77/164.99 Clause #3397 (by superposition #[3391, 3132]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True) (Eq True False)
% 164.77/164.99 Clause #3399 (by clausification #[3397]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True
% 164.77/164.99 Clause #3403 (by superposition #[3399, 738]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a_4 a_5) True)
% 164.77/164.99 Clause #3405 (by clausification #[3403]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a_4 a_5) True
% 164.77/164.99 Clause #3408 (by superposition #[3405, 720]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a a a_4 a_5) True)
% 164.77/164.99 Clause #3411 (by clausification #[3408]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_3 a a a_4 a_5) True
% 164.77/164.99 Clause #3413 (by superposition #[3411, 616]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a_1 a_1 a_4 a_5) True)
% 164.77/164.99 Clause #3435 (by clausification #[3413]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_3 a_1 a_1 a_4 a_5) True
% 164.77/164.99 Clause #3439 (by superposition #[3435, 738]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a_2 a_3 a_4 a_5) True)
% 164.77/164.99 Clause #3444 (by clausification #[3439]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_1 a_1 a_2 a_3 a_4 a_5) True
% 164.77/164.99 Clause #3446 (by superposition #[3444, 665]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a a_2 a_3 a_4 a_5) True)
% 164.77/164.99 Clause #3510 (by clausification #[3446]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a_1 a a_2 a_3 a_4 a_5) True
% 164.77/164.99 Clause #3513 (by superposition #[3510, 3025]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) (Eq True False)
% 164.77/164.99 Clause #3514 (by clausification #[3513]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True
% 164.77/164.99 Clause #3518 (by superposition #[3514, 738]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a_3 a_3 a_4 a_5) True)
% 164.77/164.99 Clause #3521 (by clausification #[3518]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a_1 a_2 a_3 a_3 a_4 a_5) True
% 164.77/164.99 Clause #3523 (by superposition #[3521, 665]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_5) True)
% 164.77/164.99 Clause #3525 (by clausification #[3523]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_5) True
% 164.77/164.99 Clause #3735 (by clausification #[3322]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 164.77/164.99 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True) (Eq (eqratio a_1 a_8 a_1 a_1 a_4 a_5 a_6 a_7) False)
% 164.77/164.99 Clause #3748 (by superposition #[3735, 3525]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_6) True) (Eq False True)
% 164.77/164.99 Clause #3753 (by clausification #[3748]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_6) True
% 164.77/164.99 Clause #3757 (by superposition #[3753, 720]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_6) True)
% 164.83/165.14 Clause #3760 (by clausification #[3757]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_6) True
% 164.83/165.14 Clause #3764 (by superposition #[3760, 3735]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True) (Eq True False)
% 164.83/165.14 Clause #3765 (by clausification #[3764]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True
% 164.83/165.14 Clause #3766 (by superposition #[3765, 467]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 164.83/165.14 Or (Eq (cong a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cong a_4 a_5 a_6 a_7) False))
% 164.83/165.14 Clause #3787 (by clausification #[3766]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Or (Eq (cong a a_1 a_2 a_3) True) (Eq (cong a_4 a_5 a_6 a_7) False)
% 164.83/165.14 Clause #3987 (by clausification #[2157]): ∀ (a a_1 : Iota),
% 164.83/165.14 Or (Eq (cong a a a_1 a_1) True)
% 164.83/165.14 (Or (Eq (cyclic a a a_1 a_1) False) (Or (Eq (cyclic a a a_1 a_1) False) (Eq (cyclic a a a_1 a_1) False)))
% 164.83/165.14 Clause #3988 (by eliminate duplicate literals #[3987]): ∀ (a a_1 : Iota), Or (Eq (cong a a a_1 a_1) True) (Eq (cyclic a a a_1 a_1) False)
% 164.83/165.14 Clause #3989 (by superposition #[3988, 2350]): ∀ (a a_1 : Iota), Or (Eq (cong a a a_1 a_1) True) (Eq False True)
% 164.83/165.14 Clause #3990 (by clausification #[3989]): ∀ (a a_1 : Iota), Eq (cong a a a_1 a_1) True
% 164.83/165.14 Clause #3997 (by superposition #[3990, 2680]): ∀ (a : Iota), Or (Eq (perp a a a a) True) (Eq True False)
% 164.83/165.14 Clause #3998 (by superposition #[3990, 3787]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cong a a_1 a_2 a_3) True) (Eq True False)
% 164.83/165.14 Clause #4037 (by clausification #[3997]): ∀ (a : Iota), Eq (perp a a a a) True
% 164.83/165.14 Clause #4043 (by superposition #[4037, 2080]): ∀ (a a_1 : Iota), Or (Eq (perp a a_1 a_1 a) True) (Eq True False)
% 164.83/165.14 Clause #4044 (by clausification #[4043]): ∀ (a a_1 : Iota), Eq (perp a a_1 a_1 a) True
% 164.83/165.14 Clause #4046 (by superposition #[4044, 265]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (perp a a_1 a a_1) True)
% 164.83/165.14 Clause #4053 (by clausification #[4046]): ∀ (a a_1 : Iota), Eq (perp a a_1 a a_1) True
% 164.83/165.14 Clause #4067 (by clausification #[3998]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cong a a_1 a_2 a_3) True
% 164.83/165.14 Clause #4069 (by backward demodulation #[4067, 388]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_1 a_2 a_1 a_2 a a_2) True)
% 164.83/165.14 Clause #4105 (by clausification #[4069]): ∀ (a a_1 a_2 : Iota), Eq (eqangle a a_1 a_1 a_2 a_1 a_2 a a_2) True
% 164.83/165.14 Clause #4108 (by superposition #[4105, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a a a_1) True)
% 164.83/165.14 Clause #4136 (by clausification #[4108]): ∀ (a a_1 : Iota), Eq (para a a a a_1) True
% 164.83/165.14 Clause #4146 (by superposition #[4136, 2501]): ∀ (a a_1 a_2 : Iota), Or (Eq (para a a_1 a_2 a_1) True) (Eq True False)
% 164.83/165.14 Clause #4171 (by clausification #[4146]): ∀ (a a_1 a_2 : Iota), Eq (para a a_1 a_2 a_1) True
% 164.83/165.14 Clause #4172 (by superposition #[4171, 156]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a_2) True)
% 164.83/165.14 Clause #4179 (by clausification #[4172]): ∀ (a a_1 a_2 : Iota), Eq (para a a_1 a_1 a_2) True
% 164.83/165.14 Clause #4182 (by superposition #[4179, 328]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (perp a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (perp a_1 a_4 a_2 a_3) False))
% 164.83/165.14 Clause #7534 (by clausification #[4182]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (perp a a_1 a_2 a_3) True) (Eq (perp a_1 a_4 a_2 a_3) False)
% 164.83/165.14 Clause #7544 (by superposition #[7534, 4053]): ∀ (a a_1 a_2 : Iota), Or (Eq (perp a a_1 a_1 a_2) True) (Eq False True)
% 164.83/165.14 Clause #7545 (by clausification #[7544]): ∀ (a a_1 a_2 : Iota), Eq (perp a a_1 a_1 a_2) True
% 164.83/165.14 Clause #7553 (by superposition #[7545, 7534]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_2 a_3) True) (Eq True False)
% 164.83/165.14 Clause #7554 (by clausification #[7553]): ∀ (a a_1 a_2 a_3 : Iota), Eq (perp a a_1 a_2 a_3) True
% 164.83/165.14 Clause #7560 (by superposition #[7554, 565]): Eq True False
% 164.83/165.14 Clause #7561 (by clausification #[7560]): False
% 164.83/165.14 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------