TSTP Solution File: GEO594+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO594+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 22:56:47 EDT 2023
% Result : Theorem 284.00s 284.42s
% Output : Proof 284.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO594+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:59:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 284.00/284.42 SZS status Theorem for theBenchmark.p
% 284.00/284.42 SZS output start Proof for theBenchmark.p
% 284.00/284.42 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True
% 284.00/284.42 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True
% 284.00/284.42 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True
% 284.00/284.42 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True
% 284.00/284.42 Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True
% 284.00/284.42 Clause #5 (by assumption #[]): Eq (∀ (A B C D E F : Iota), And (para A B C D) (para C D E F) → para A B E F) True
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 Clause #22 (by assumption #[]): Eq (∀ (A B C D : Iota), cong A B C D → cong A B D C) True
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 Clause #29 (by assumption #[]): Eq
% 284.00/284.42 (∀ (A B C D E F G H P Q U V : Iota),
% 284.00/284.42 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)
% 284.00/284.42 True
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 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
% 284.00/284.42 Clause #43 (by assumption #[]): Eq
% 284.00/284.42 (∀ (A B C P Q R : Iota),
% 284.00/284.42 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)
% 284.00/284.42 True
% 284.00/284.42 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
% 284.00/284.42 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True
% 284.00/284.42 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
% 284.00/284.42 Clause #94 (by assumption #[]): Eq
% 284.00/284.42 (Not
% 284.00/284.42 (∀ (A B M O D E : Iota),
% 284.00/284.42 And
% 284.00/284.42 (And (And (And (And (Or (cong M A A B) (cong M A M B)) (circle O A B M)) (coll D M O)) (coll D A B))
% 284.00/284.42 (perp A O A E))
% 284.00/284.42 (para A O E M) →
% 284.00/284.42 cong M E M D))
% 284.00/284.42 True
% 284.00/284.42 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True
% 284.00/284.42 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True
% 284.00/284.42 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
% 284.00/284.42 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)
% 284.00/284.42 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True
% 284.00/284.42 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True
% 284.00/284.42 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
% 284.00/284.42 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)
% 284.00/284.45 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True
% 284.00/284.45 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True
% 284.00/284.45 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
% 284.00/284.45 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)
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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)
% 284.00/284.45 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))
% 284.00/284.45 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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)
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.00/284.45 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)
% 284.00/284.45 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.00/284.45 Or (Eq (cyclic a a_1 a_2 a_3) True)
% 284.00/284.45 (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))
% 284.00/284.45 Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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
% 284.00/284.45 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)
% 284.00/284.45 Clause #195 (by clausification #[22]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cong a B C D → cong a B D C) True
% 284.00/284.45 Clause #196 (by clausification #[195]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cong a a_1 C D → cong a a_1 D C) True
% 284.00/284.45 Clause #197 (by clausification #[196]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cong a a_1 a_2 D → cong a a_1 D a_2) True
% 284.00/284.45 Clause #198 (by clausification #[197]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cong a a_1 a_2 a_3 → cong a a_1 a_3 a_2) True
% 284.00/284.45 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cong a a_1 a_2 a_3) False) (Eq (cong a a_1 a_3 a_2) True)
% 284.00/284.47 Clause #220 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (B C D E F : Iota), And (para a B C D) (para C D E F) → para a B E F) True
% 284.00/284.47 Clause #221 (by clausification #[220]): ∀ (a a_1 : Iota), Eq (∀ (C D E F : Iota), And (para a a_1 C D) (para C D E F) → para a a_1 E F) True
% 284.00/284.47 Clause #222 (by clausification #[221]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D E F : Iota), And (para a a_1 a_2 D) (para a_2 D E F) → para a a_1 E F) True
% 284.00/284.47 Clause #223 (by clausification #[222]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (E F : Iota), And (para a a_1 a_2 a_3) (para a_2 a_3 E F) → para a a_1 E F) True
% 284.00/284.47 Clause #224 (by clausification #[223]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (F : Iota), And (para a a_1 a_2 a_3) (para a_2 a_3 a_4 F) → para a a_1 a_4 F) True
% 284.00/284.47 Clause #225 (by clausification #[224]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (And (para a a_1 a_2 a_3) (para a_2 a_3 a_4 a_5) → para a a_1 a_4 a_5) True
% 284.00/284.47 Clause #226 (by clausification #[225]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.00/284.47 Or (Eq (And (para a a_1 a_2 a_3) (para a_2 a_3 a_4 a_5)) False) (Eq (para a a_1 a_4 a_5) True)
% 284.00/284.47 Clause #227 (by clausification #[226]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.00/284.47 Or (Eq (para a a_1 a_2 a_3) True) (Or (Eq (para a a_1 a_4 a_5) False) (Eq (para a_4 a_5 a_2 a_3) False))
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.00/284.47 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)
% 284.00/284.47 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.00/284.47 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))
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 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
% 284.00/284.47 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.00/284.47 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
% 284.00/284.47 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.00/284.47 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
% 284.00/284.47 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.00/284.47 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
% 284.00/284.47 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.00/284.47 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
% 284.00/284.47 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.00/284.47 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)
% 284.00/284.47 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
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.50 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)
% 284.06/284.50 Clause #360 (by clausification #[43]): ∀ (a : Iota),
% 284.06/284.50 Eq
% 284.06/284.50 (∀ (B C P Q R : Iota),
% 284.06/284.50 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)
% 284.06/284.50 True
% 284.06/284.50 Clause #361 (by clausification #[360]): ∀ (a a_1 : Iota),
% 284.06/284.50 Eq
% 284.06/284.50 (∀ (C P Q R : Iota),
% 284.06/284.50 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) →
% 284.06/284.50 cong a a_1 P Q)
% 284.06/284.50 True
% 284.06/284.50 Clause #362 (by clausification #[361]): ∀ (a a_1 a_2 : Iota),
% 284.06/284.50 Eq
% 284.06/284.50 (∀ (P Q R : Iota),
% 284.06/284.50 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) →
% 284.06/284.50 cong a a_1 P Q)
% 284.06/284.50 True
% 284.06/284.50 Clause #363 (by clausification #[362]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.06/284.50 Eq
% 284.06/284.50 (∀ (Q R : Iota),
% 284.06/284.50 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))
% 284.06/284.50 (eqangle a_2 a a_2 a_1 R a_3 R Q) →
% 284.06/284.50 cong a a_1 a_3 Q)
% 284.06/284.50 True
% 284.06/284.50 Clause #364 (by clausification #[363]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.06/284.50 Eq
% 284.06/284.50 (∀ (R : Iota),
% 284.06/284.50 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))
% 284.06/284.50 (eqangle a_2 a a_2 a_1 R a_3 R a_4) →
% 284.06/284.50 cong a a_1 a_3 a_4)
% 284.06/284.50 True
% 284.06/284.50 Clause #365 (by clausification #[364]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.06/284.50 Eq
% 284.06/284.50 (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))
% 284.06/284.50 (eqangle a_2 a a_2 a_1 a_5 a_3 a_5 a_4) →
% 284.06/284.50 cong a a_1 a_3 a_4)
% 284.06/284.50 True
% 284.06/284.50 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.06/284.50 Or
% 284.06/284.50 (Eq
% 284.06/284.50 (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))
% 284.06/284.50 (eqangle a_2 a a_2 a_1 a_5 a_3 a_5 a_4))
% 284.06/284.50 False)
% 284.06/284.50 (Eq (cong a a_1 a_3 a_4) True)
% 284.06/284.50 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.06/284.50 Or (Eq (cong a a_1 a_2 a_3) True)
% 284.06/284.50 (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)
% 284.06/284.50 (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False))
% 284.06/284.50 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.06/284.50 Or (Eq (cong a a_1 a_2 a_3) True)
% 284.06/284.50 (Or (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False)
% 284.06/284.50 (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)))
% 284.06/284.50 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.06/284.50 Or (Eq (cong a a_1 a_2 a_3) True)
% 284.06/284.50 (Or (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False)
% 284.06/284.50 (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))))
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.50 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
% 284.06/284.52 Clause #393 (by clausification #[392]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.06/284.52 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
% 284.06/284.52 Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.06/284.52 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
% 284.06/284.52 Clause #395 (by clausification #[394]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.06/284.52 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
% 284.06/284.52 Clause #396 (by clausification #[395]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.06/284.52 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
% 284.06/284.52 Clause #397 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.06/284.52 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)
% 284.06/284.52 Clause #398 (by clausification #[94]): Eq
% 284.06/284.52 (∀ (A B M O D E : Iota),
% 284.06/284.52 And
% 284.06/284.52 (And (And (And (And (Or (cong M A A B) (cong M A M B)) (circle O A B M)) (coll D M O)) (coll D A B))
% 284.06/284.52 (perp A O A E))
% 284.06/284.52 (para A O E M) →
% 284.06/284.52 cong M E M D)
% 284.06/284.52 False
% 284.06/284.52 Clause #399 (by clausification #[398]): ∀ (a : Iota),
% 284.06/284.52 Eq
% 284.06/284.52 (Not
% 284.06/284.52 (∀ (B M O D E : Iota),
% 284.06/284.52 And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And (And (Or (cong M (skS.0 2 a) (skS.0 2 a) B) (cong M (skS.0 2 a) M B)) (circle O (skS.0 2 a) B M))
% 284.06/284.52 (coll D M O))
% 284.06/284.52 (coll D (skS.0 2 a) B))
% 284.06/284.52 (perp (skS.0 2 a) O (skS.0 2 a) E))
% 284.06/284.52 (para (skS.0 2 a) O E M) →
% 284.06/284.52 cong M E M D))
% 284.06/284.52 True
% 284.06/284.52 Clause #400 (by clausification #[399]): ∀ (a : Iota),
% 284.06/284.52 Eq
% 284.06/284.52 (∀ (B M O D E : Iota),
% 284.06/284.52 And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And (And (Or (cong M (skS.0 2 a) (skS.0 2 a) B) (cong M (skS.0 2 a) M B)) (circle O (skS.0 2 a) B M))
% 284.06/284.52 (coll D M O))
% 284.06/284.52 (coll D (skS.0 2 a) B))
% 284.06/284.52 (perp (skS.0 2 a) O (skS.0 2 a) E))
% 284.06/284.52 (para (skS.0 2 a) O E M) →
% 284.06/284.52 cong M E M D)
% 284.06/284.52 False
% 284.06/284.52 Clause #401 (by clausification #[400]): ∀ (a a_1 : Iota),
% 284.06/284.52 Eq
% 284.06/284.52 (Not
% 284.06/284.52 (∀ (M O D E : Iota),
% 284.06/284.52 And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And (Or (cong M (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1)) (cong M (skS.0 2 a) M (skS.0 3 a a_1)))
% 284.06/284.52 (circle O (skS.0 2 a) (skS.0 3 a a_1) M))
% 284.06/284.52 (coll D M O))
% 284.06/284.52 (coll D (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.52 (perp (skS.0 2 a) O (skS.0 2 a) E))
% 284.06/284.52 (para (skS.0 2 a) O E M) →
% 284.06/284.52 cong M E M D))
% 284.06/284.52 True
% 284.06/284.52 Clause #402 (by clausification #[401]): ∀ (a a_1 : Iota),
% 284.06/284.52 Eq
% 284.06/284.52 (∀ (M O D E : Iota),
% 284.06/284.52 And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And (Or (cong M (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1)) (cong M (skS.0 2 a) M (skS.0 3 a a_1)))
% 284.06/284.52 (circle O (skS.0 2 a) (skS.0 3 a a_1) M))
% 284.06/284.52 (coll D M O))
% 284.06/284.52 (coll D (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.52 (perp (skS.0 2 a) O (skS.0 2 a) E))
% 284.06/284.52 (para (skS.0 2 a) O E M) →
% 284.06/284.52 cong M E M D)
% 284.06/284.52 False
% 284.06/284.52 Clause #403 (by clausification #[402]): ∀ (a a_1 a_2 : Iota),
% 284.06/284.52 Eq
% 284.06/284.52 (Not
% 284.06/284.52 (∀ (O D E : Iota),
% 284.06/284.52 And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (And
% 284.06/284.52 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.06/284.52 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.06/284.52 (circle O (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.06/284.52 (coll D (skS.0 4 a a_1 a_2) O))
% 284.06/284.52 (coll D (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.52 (perp (skS.0 2 a) O (skS.0 2 a) E))
% 284.06/284.52 (para (skS.0 2 a) O E (skS.0 4 a a_1 a_2)) →
% 284.06/284.52 cong (skS.0 4 a a_1 a_2) E (skS.0 4 a a_1 a_2) D))
% 284.06/284.52 True
% 284.06/284.52 Clause #404 (by clausification #[403]): ∀ (a a_1 a_2 : Iota),
% 284.06/284.52 Eq
% 284.06/284.55 (∀ (O D E : Iota),
% 284.06/284.55 And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.06/284.55 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.06/284.55 (circle O (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.06/284.55 (coll D (skS.0 4 a a_1 a_2) O))
% 284.06/284.55 (coll D (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.55 (perp (skS.0 2 a) O (skS.0 2 a) E))
% 284.06/284.55 (para (skS.0 2 a) O E (skS.0 4 a a_1 a_2)) →
% 284.06/284.55 cong (skS.0 4 a a_1 a_2) E (skS.0 4 a a_1 a_2) D)
% 284.06/284.55 False
% 284.06/284.55 Clause #405 (by clausification #[404]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.06/284.55 Eq
% 284.06/284.55 (Not
% 284.06/284.55 (∀ (D E : Iota),
% 284.06/284.55 And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.06/284.55 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.06/284.55 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.06/284.55 (coll D (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.06/284.55 (coll D (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.55 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) E))
% 284.06/284.55 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) E (skS.0 4 a a_1 a_2)) →
% 284.06/284.55 cong (skS.0 4 a a_1 a_2) E (skS.0 4 a a_1 a_2) D))
% 284.06/284.55 True
% 284.06/284.55 Clause #406 (by clausification #[405]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.06/284.55 Eq
% 284.06/284.55 (∀ (D E : Iota),
% 284.06/284.55 And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.06/284.55 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.06/284.55 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.06/284.55 (coll D (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.06/284.55 (coll D (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.55 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) E))
% 284.06/284.55 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) E (skS.0 4 a a_1 a_2)) →
% 284.06/284.55 cong (skS.0 4 a a_1 a_2) E (skS.0 4 a a_1 a_2) D)
% 284.06/284.55 False
% 284.06/284.55 Clause #407 (by clausification #[406]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.06/284.55 Eq
% 284.06/284.55 (Not
% 284.06/284.55 (∀ (E : Iota),
% 284.06/284.55 And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.06/284.55 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.06/284.55 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.06/284.55 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.06/284.55 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.55 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) E))
% 284.06/284.55 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) E (skS.0 4 a a_1 a_2)) →
% 284.06/284.55 cong (skS.0 4 a a_1 a_2) E (skS.0 4 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3 a_4)))
% 284.06/284.55 True
% 284.06/284.55 Clause #408 (by clausification #[407]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.06/284.55 Eq
% 284.06/284.55 (∀ (E : Iota),
% 284.06/284.55 And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (And
% 284.06/284.55 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.06/284.55 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.06/284.55 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.06/284.55 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.06/284.55 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 2 a) (skS.0 3 a a_1)))
% 284.06/284.55 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) E))
% 284.06/284.55 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) E (skS.0 4 a a_1 a_2)) →
% 284.06/284.55 cong (skS.0 4 a a_1 a_2) E (skS.0 4 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3 a_4))
% 284.06/284.55 False
% 284.06/284.55 Clause #409 (by clausification #[408]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.15/284.57 Eq
% 284.15/284.57 (Not
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.15/284.57 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.15/284.57 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.15/284.57 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.15/284.57 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 2 a) (skS.0 3 a a_1)))
% 284.15/284.57 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 7 a a_1 a_2 a_3 a_4 a_5)))
% 284.15/284.57 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2)) →
% 284.15/284.57 cong (skS.0 4 a a_1 a_2) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3 a_4)))
% 284.15/284.57 True
% 284.15/284.57 Clause #410 (by clausification #[409]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.15/284.57 Eq
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.15/284.57 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.15/284.57 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.15/284.57 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.15/284.57 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 2 a) (skS.0 3 a a_1)))
% 284.15/284.57 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 7 a a_1 a_2 a_3 a_4 a_5)))
% 284.15/284.57 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2)) →
% 284.15/284.57 cong (skS.0 4 a a_1 a_2) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3 a_4))
% 284.15/284.57 False
% 284.15/284.57 Clause #411 (by clausification #[410]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.15/284.57 Eq
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (And
% 284.15/284.57 (Or (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 2 a) (skS.0 3 a a_1))
% 284.15/284.57 (cong (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)))
% 284.15/284.57 (circle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 284.15/284.57 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 284.15/284.57 (coll (skS.0 6 a a_1 a_2 a_3 a_4) (skS.0 2 a) (skS.0 3 a a_1)))
% 284.15/284.57 (perp (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 7 a a_1 a_2 a_3 a_4 a_5)))
% 284.15/284.57 (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2)))
% 284.15/284.57 True
% 284.15/284.57 Clause #412 (by clausification #[410]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.15/284.57 Eq (cong (skS.0 4 a a_1 a_2) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3 a_4)) False
% 284.15/284.57 Clause #413 (by clausification #[411]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.15/284.57 Eq (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2)) True
% 284.15/284.57 Clause #417 (by superposition #[413, 189]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.15/284.57 Or (Eq True False)
% 284.15/284.57 (Eq (para (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3)) True)
% 284.15/284.57 Clause #418 (by superposition #[413, 227]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.15/284.57 Or (Eq (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5) True)
% 284.15/284.57 (Or (Eq True False) (Eq (para (skS.0 7 a a_1 a_2 a_3 a_6 a_7) (skS.0 4 a a_1 a_2) a_4 a_5) False))
% 284.15/284.57 Clause #450 (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
% 284.15/284.57 Clause #451 (by clausification #[450]): ∀ (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
% 284.15/284.57 Clause #452 (by clausification #[451]): ∀ (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
% 284.15/284.57 Clause #453 (by clausification #[452]): ∀ (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
% 284.17/284.59 Clause #454 (by clausification #[453]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #455 (by clausification #[454]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #456 (by clausification #[455]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #457 (by clausification #[456]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #458 (by clausification #[457]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.59 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)
% 284.17/284.59 Clause #480 (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
% 284.17/284.59 Clause #481 (by clausification #[480]): ∀ (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
% 284.17/284.59 Clause #482 (by clausification #[481]): ∀ (a a_1 a_2 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #483 (by clausification #[482]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #484 (by clausification #[483]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #485 (by clausification #[484]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #486 (by clausification #[485]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #487 (by clausification #[486]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #488 (by clausification #[487]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.59 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)
% 284.17/284.59 Clause #489 (by clausification #[488]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.59 Or (Eq (cong a a_1 a_2 a_3) True)
% 284.17/284.59 (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))
% 284.17/284.59 Clause #500 (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
% 284.17/284.59 Clause #501 (by clausification #[500]): ∀ (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
% 284.17/284.59 Clause #502 (by clausification #[501]): ∀ (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
% 284.17/284.59 Clause #503 (by clausification #[502]): ∀ (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
% 284.17/284.59 Clause #504 (by clausification #[503]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #505 (by clausification #[504]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #506 (by clausification #[505]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.17/284.59 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
% 284.17/284.59 Clause #507 (by clausification #[506]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.59 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
% 284.17/284.62 Clause #508 (by clausification #[507]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.62 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)
% 284.17/284.62 Clause #581 (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
% 284.17/284.62 Clause #582 (by clausification #[581]): ∀ (a a_1 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #583 (by clausification #[582]): ∀ (a a_1 a_2 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #584 (by clausification #[583]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.17/284.62 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)
% 284.17/284.62 True
% 284.17/284.62 Clause #585 (by clausification #[584]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #586 (by clausification #[585]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.62 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)
% 284.17/284.62 (Eq (eqratio a_4 a a a_2 a_4 a_1 a_1 a_3) True)
% 284.17/284.62 Clause #587 (by clausification #[586]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.62 Or (Eq (eqratio a a_1 a_1 a_2 a a_3 a_3 a_4) True)
% 284.17/284.62 (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))
% 284.17/284.62 Clause #588 (by clausification #[587]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.62 Or (Eq (eqratio a a_1 a_1 a_2 a a_3 a_3 a_4) True)
% 284.17/284.62 (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)))
% 284.17/284.62 Clause #603 (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
% 284.17/284.62 Clause #604 (by clausification #[603]): ∀ (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
% 284.17/284.62 Clause #605 (by clausification #[604]): ∀ (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
% 284.17/284.62 Clause #606 (by clausification #[605]): ∀ (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
% 284.17/284.62 Clause #607 (by clausification #[606]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #608 (by clausification #[607]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #609 (by clausification #[608]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #610 (by clausification #[609]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.62 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
% 284.17/284.62 Clause #611 (by clausification #[610]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.17/284.62 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)
% 284.17/284.62 Clause #619 (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
% 284.17/284.62 Clause #620 (by clausification #[619]): ∀ (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
% 284.17/284.62 Clause #621 (by clausification #[620]): ∀ (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
% 284.17/284.62 Clause #622 (by clausification #[621]): ∀ (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
% 284.17/284.62 Clause #623 (by clausification #[622]): ∀ (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
% 284.17/284.62 Clause #624 (by clausification #[623]): ∀ (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
% 284.22/284.64 Clause #625 (by clausification #[624]): ∀ (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)
% 284.22/284.64 Clause #653 (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
% 284.22/284.64 Clause #654 (by clausification #[653]): ∀ (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
% 284.22/284.64 Clause #655 (by clausification #[654]): ∀ (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
% 284.22/284.64 Clause #656 (by clausification #[655]): ∀ (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
% 284.22/284.64 Clause #657 (by clausification #[656]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #658 (by clausification #[657]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #659 (by clausification #[658]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #660 (by clausification #[659]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #661 (by clausification #[660]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.64 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)
% 284.22/284.64 Clause #709 (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
% 284.22/284.64 Clause #710 (by clausification #[709]): ∀ (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
% 284.22/284.64 Clause #711 (by clausification #[710]): ∀ (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
% 284.22/284.64 Clause #712 (by clausification #[711]): ∀ (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
% 284.22/284.64 Clause #713 (by clausification #[712]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #714 (by clausification #[713]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #715 (by clausification #[714]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #716 (by clausification #[715]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #717 (by clausification #[716]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.64 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)
% 284.22/284.64 Clause #726 (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
% 284.22/284.64 Clause #727 (by clausification #[726]): ∀ (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
% 284.22/284.64 Clause #728 (by clausification #[727]): ∀ (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
% 284.22/284.64 Clause #729 (by clausification #[728]): ∀ (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
% 284.22/284.64 Clause #730 (by clausification #[729]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.22/284.64 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
% 284.22/284.64 Clause #731 (by clausification #[730]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.67 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
% 284.22/284.67 Clause #732 (by clausification #[731]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.22/284.67 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
% 284.22/284.67 Clause #733 (by clausification #[732]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.67 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
% 284.22/284.67 Clause #734 (by clausification #[733]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.67 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)
% 284.22/284.67 Clause #772 (by clausification #[29]): ∀ (a : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (B C D E F G H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #773 (by clausification #[772]): ∀ (a a_1 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (C D E F G H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #774 (by clausification #[773]): ∀ (a a_1 a_2 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (D E F G H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #775 (by clausification #[774]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (E F G H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #776 (by clausification #[775]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (F G H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #777 (by clausification #[776]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (G H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #778 (by clausification #[777]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (H P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #779 (by clausification #[778]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (P Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #780 (by clausification #[779]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (Q U V : Iota),
% 284.22/284.67 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)
% 284.22/284.67 True
% 284.22/284.67 Clause #781 (by clausification #[780]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (U V : Iota),
% 284.22/284.67 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) →
% 284.22/284.67 eqratio a a_1 a_2 a_3 a_6 a_7 a_8 a_9)
% 284.22/284.67 True
% 284.22/284.67 Clause #782 (by clausification #[781]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (∀ (V : Iota),
% 284.22/284.67 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) →
% 284.22/284.67 eqratio a a_1 a_2 a_3 a_7 a_8 a_9 a_10)
% 284.22/284.67 True
% 284.22/284.67 Clause #783 (by clausification #[782]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 284.22/284.67 Eq
% 284.22/284.67 (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) →
% 284.22/284.67 eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11)
% 284.22/284.67 True
% 284.22/284.67 Clause #784 (by clausification #[783]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 284.22/284.67 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)
% 284.22/284.67 (Eq (eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11) True)
% 284.22/284.67 Clause #785 (by clausification #[784]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 284.22/284.67 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True)
% 284.22/284.67 (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))
% 284.22/284.67 Clause #847 (by clausification #[417]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (para (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3)) True
% 284.22/284.69 Clause #849 (by superposition #[847, 156]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (para (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a)) True)
% 284.22/284.69 Clause #854 (by clausification #[849]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (para (skS.0 7 a a_1 a_2 a_3 a_4 a_5) (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a)) True
% 284.22/284.69 Clause #950 (by clausification #[418]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 284.22/284.69 Or (Eq (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5) True)
% 284.22/284.69 (Eq (para (skS.0 7 a a_1 a_2 a_3 a_6 a_7) (skS.0 4 a a_1 a_2) a_4 a_5) False)
% 284.22/284.69 Clause #952 (by superposition #[950, 854]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.22/284.69 Or (Eq (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a)) True) (Eq False True)
% 284.22/284.69 Clause #953 (by clausification #[952]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a)) True
% 284.22/284.69 Clause #956 (by superposition #[953, 189]): ∀ (a a_1 a_2 a_3 : Iota),
% 284.22/284.69 Or (Eq True False) (Eq (para (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3)) True)
% 284.22/284.69 Clause #960 (by clausification #[956]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3)) True
% 284.22/284.69 Clause #966 (by superposition #[960, 625]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5) True)
% 284.22/284.69 Clause #1064 (by clausification #[966]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5) True
% 284.22/284.69 Clause #1066 (by superposition #[1064, 508]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5 a_4 a_5) True)
% 284.22/284.69 Clause #1068 (by clausification #[1066]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5 a_4 a_5) True
% 284.22/284.69 Clause #1071 (by superposition #[1068, 458]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle a a_1 a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2) (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5)) True)
% 284.22/284.69 Clause #1076 (by clausification #[1071]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (eqangle a a_1 a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2) (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5)) True
% 284.22/284.69 Clause #1078 (by superposition #[1076, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle a a_1 a a_1 (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True)
% 284.22/284.69 Clause #1083 (by clausification #[1078]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (eqangle a a_1 a a_1 (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True
% 284.22/284.69 Clause #1086 (by superposition #[1083, 508]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle a a_1 (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5) a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True)
% 284.22/284.69 Clause #1092 (by clausification #[1086]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (eqangle a a_1 (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5) a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True
% 284.22/284.69 Clause #1093 (by superposition #[1092, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle a a_1 (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5) a_1 a (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True)
% 284.22/284.69 Clause #1097 (by clausification #[1093]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Eq (eqangle a a_1 (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5) a_1 a (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True
% 284.22/284.69 Clause #1101 (by superposition #[1097, 458]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.69 Or (Eq True False)
% 284.22/284.69 (Eq (eqangle a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2) a_1 a (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5)) True)
% 284.22/284.69 Clause #1106 (by clausification #[1101]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2) a_1 a (skS.0 2 a_2) (skS.0 5 a_2 a_3 a_4 a_5)) True
% 284.22/284.72 Clause #1109 (by superposition #[1106, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Or (Eq True False)
% 284.22/284.72 (Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_5 a_4) True)
% 284.22/284.72 Clause #1114 (by clausification #[1109]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_5 a_4) True
% 284.22/284.72 Clause #1117 (by superposition #[1114, 508]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Or (Eq True False)
% 284.22/284.72 (Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5 a_5 a_4) True)
% 284.22/284.72 Clause #1130 (by clausification #[1117]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) a_4 a_5 a_5 a_4) True
% 284.22/284.72 Clause #1132 (by superposition #[1130, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Or (Eq True False)
% 284.22/284.72 (Eq (eqangle (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 a_5 a_4) True)
% 284.22/284.72 Clause #1137 (by clausification #[1132]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 a_5 a_4) True
% 284.22/284.72 Clause #1138 (by superposition #[1137, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Or (Eq True False)
% 284.22/284.72 (Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 a_5 a_4) True)
% 284.22/284.72 Clause #1143 (by clausification #[1138]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 a_5 a_4) True
% 284.22/284.72 Clause #1150 (by superposition #[1143, 508]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Or (Eq True False)
% 284.22/284.72 (Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_5 a_4) True)
% 284.22/284.72 Clause #1155 (by clausification #[1150]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_4 a_5 (skS.0 5 a a_1 a_2 a_3) (skS.0 2 a) a_5 a_4) True
% 284.22/284.72 Clause #1160 (by superposition #[1155, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Or (Eq True False)
% 284.22/284.72 (Eq (eqangle a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2) a_1 a (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True)
% 284.22/284.72 Clause #1167 (by clausification #[1160]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.72 Eq (eqangle a a_1 (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2) a_1 a (skS.0 5 a_2 a_3 a_4 a_5) (skS.0 2 a_2)) True
% 284.22/284.72 Clause #1172 (by superposition #[1167, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True)
% 284.22/284.72 Clause #1185 (by clausification #[1172]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True
% 284.22/284.72 Clause #1186 (by superposition #[1185, 107]): ∀ (a : Iota), Or (Eq True False) (Eq (coll a a a) True)
% 284.22/284.72 Clause #1188 (by superposition #[1185, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True)
% 284.22/284.72 Clause #1191 (by superposition #[1185, 625]): ∀ (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)
% 284.22/284.72 Clause #1193 (by clausification #[1186]): ∀ (a : Iota), Eq (coll a a a) True
% 284.22/284.72 Clause #1197 (by superposition #[1193, 588]): ∀ (a a_1 a_2 : Iota),
% 284.22/284.72 Or (Eq (eqratio a a_1 a_1 a_2 a a a a) True)
% 284.22/284.72 (Or (Eq True False) (Or (Eq (para a_1 a a_2 a) False) (Eq (coll a a_1 a_2) False)))
% 284.22/284.72 Clause #1202 (by clausification #[1188]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True
% 284.22/284.72 Clause #1203 (by superposition #[1202, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True)
% 284.22/284.72 Clause #1209 (by clausification #[1203]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True
% 284.22/284.72 Clause #1211 (by superposition #[1209, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True)
% 284.22/284.72 Clause #1220 (by clausification #[1211]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True
% 284.22/284.72 Clause #1222 (by superposition #[1220, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True)
% 284.22/284.72 Clause #1232 (by clausification #[1222]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True
% 284.22/284.75 Clause #1234 (by superposition #[1232, 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))
% 284.22/284.75 Clause #1243 (by clausification #[1191]): ∀ (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
% 284.22/284.75 Clause #1251 (by superposition #[1243, 508]): ∀ (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)
% 284.22/284.75 Clause #1256 (by clausification #[1251]): ∀ (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
% 284.22/284.75 Clause #1260 (by superposition #[1256, 352]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True)
% 284.22/284.75 Clause #1262 (by superposition #[1256, 458]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_1 a_2 a_3 a_3 a_2) True)
% 284.22/284.75 Clause #1269 (by clausification #[1262]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 a_2 a_3 a_3 a_2) True
% 284.22/284.75 Clause #1274 (by superposition #[1269, 369]): ∀ (a a_1 a_2 : Iota),
% 284.22/284.75 Or (Eq (cong a a a_1 a_1) True)
% 284.22/284.75 (Or (Eq True False)
% 284.22/284.75 (Or (Eq (cyclic a a a_2 a_1) False) (Or (Eq (cyclic a a a_2 a_1) False) (Eq (cyclic a a a_2 a_1) False))))
% 284.22/284.75 Clause #1305 (by clausification #[1260]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True
% 284.22/284.75 Clause #1306 (by superposition #[1305, 162]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_1 a_2 a) False))
% 284.22/284.75 Clause #1328 (by clausification #[1234]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 284.22/284.75 Clause #1331 (by superposition #[1328, 1232]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True)
% 284.22/284.75 Clause #1335 (by clausification #[1331]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True
% 284.22/284.75 Clause #1418 (by clausification #[1306]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq (coll a_1 a_2 a) False)
% 284.22/284.75 Clause #1419 (by forward demodulation #[1418, 1335]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq True False)
% 284.22/284.75 Clause #1420 (by clausification #[1419]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True
% 284.22/284.75 Clause #1424 (by superposition #[1420, 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 a a_1 a_3) False))
% 284.22/284.75 Clause #1694 (by clausification #[1424]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a a a_1 a_3) False)
% 284.22/284.75 Clause #1695 (by superposition #[1694, 1420]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True)
% 284.22/284.75 Clause #1699 (by clausification #[1695]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True
% 284.22/284.75 Clause #2419 (by clausification #[1197]): ∀ (a a_1 a_2 : Iota),
% 284.22/284.75 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))
% 284.22/284.75 Clause #2420 (by forward demodulation #[2419, 1335]): ∀ (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))
% 284.22/284.75 Clause #2421 (by clausification #[2420]): ∀ (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)
% 284.22/284.75 Clause #2423 (by superposition #[2421, 1202]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a_1 a_1 a_1 a a a a) True) (Eq False True)
% 284.22/284.75 Clause #2424 (by clausification #[2423]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a a a a) True
% 284.22/284.75 Clause #2426 (by superposition #[2424, 611]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a_1 a_1 a_1 a_1) True)
% 284.22/284.75 Clause #2428 (by superposition #[2424, 717]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a a_1 a_1 a_1) True)
% 284.22/284.75 Clause #2478 (by clausification #[2428]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a a_1 a_1 a_1) True
% 284.22/284.75 Clause #2488 (by clausification #[2426]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a_1 a_1 a_1 a_1) True
% 284.22/284.75 Clause #2490 (by superposition #[2488, 785]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.22/284.75 Or (Eq (eqratio a a_1 a a a_2 a_3 a_4 a_5) True)
% 284.22/284.75 (Or (Eq True False) (Eq (eqratio a_1 a_1 a_1 a_1 a_2 a_3 a_4 a_5) False))
% 284.22/284.75 Clause #2512 (by clausification #[2490]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 284.49/284.93 Or (Eq (eqratio a a_1 a a a_2 a_3 a_4 a_5) True) (Eq (eqratio a_1 a_1 a_1 a_1 a_2 a_3 a_4 a_5) False)
% 284.49/284.93 Clause #2517 (by superposition #[2512, 2478]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a_1 a a a_1 a_2 a_2 a_2) True) (Eq False True)
% 284.49/284.93 Clause #2518 (by clausification #[2517]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a_1 a a a_1 a_2 a_2 a_2) True
% 284.49/284.93 Clause #2523 (by superposition #[2518, 734]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_2 a a a_2 a_2) True)
% 284.49/284.93 Clause #2526 (by clausification #[2523]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a_1 a_1 a_2 a a a_2 a_2) True
% 284.49/284.93 Clause #2529 (by superposition #[2526, 661]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a a_1 a_1 a_2 a_2) True)
% 284.49/284.93 Clause #2908 (by clausification #[2529]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a_1 a_2 a a_1 a_1 a_2 a_2) True
% 284.49/284.93 Clause #2909 (by superposition #[2908, 489]): ∀ (a a_1 a_2 : Iota), Or (Eq (cong a a_1 a_2 a) True) (Or (Eq True False) (Eq (cong a_1 a_1 a_2 a_2) False))
% 284.49/284.93 Clause #3014 (by clausification #[2909]): ∀ (a a_1 a_2 : Iota), Or (Eq (cong a a_1 a_2 a) True) (Eq (cong a_1 a_1 a_2 a_2) False)
% 284.49/284.93 Clause #6514 (by clausification #[1274]): ∀ (a a_1 a_2 : Iota),
% 284.49/284.93 Or (Eq (cong a a a_1 a_1) True)
% 284.49/284.93 (Or (Eq (cyclic a a a_2 a_1) False) (Or (Eq (cyclic a a a_2 a_1) False) (Eq (cyclic a a a_2 a_1) False)))
% 284.49/284.93 Clause #6515 (by eliminate duplicate literals #[6514]): ∀ (a a_1 a_2 : Iota), Or (Eq (cong a a a_1 a_1) True) (Eq (cyclic a a a_2 a_1) False)
% 284.49/284.93 Clause #6516 (by superposition #[6515, 1699]): ∀ (a a_1 : Iota), Or (Eq (cong a a a_1 a_1) True) (Eq False True)
% 284.49/284.93 Clause #6517 (by clausification #[6516]): ∀ (a a_1 : Iota), Eq (cong a a a_1 a_1) True
% 284.49/284.93 Clause #6540 (by superposition #[6517, 3014]): ∀ (a a_1 a_2 : Iota), Or (Eq (cong a a_1 a_2 a) True) (Eq True False)
% 284.49/284.93 Clause #6608 (by clausification #[6540]): ∀ (a a_1 a_2 : Iota), Eq (cong a a_1 a_2 a) True
% 284.49/284.93 Clause #6610 (by superposition #[6608, 199]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cong a a_1 a a_2) True)
% 284.49/284.93 Clause #6715 (by clausification #[6610]): ∀ (a a_1 a_2 : Iota), Eq (cong a a_1 a a_2) True
% 284.49/284.93 Clause #6724 (by superposition #[6715, 412]): Eq True False
% 284.49/284.93 Clause #6732 (by clausification #[6724]): False
% 284.49/284.93 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------