TSTP Solution File: GEO628+1 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n013.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 22:56:52 EDT 2023

% Result   : Theorem 13.17s 13.46s
% Output   : Proof 13.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14  % Command    : duper %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 20:20:31 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 13.17/13.46  SZS status Theorem for theBenchmark.p
% 13.17/13.46  SZS output start Proof for theBenchmark.p
% 13.17/13.46  Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True
% 13.17/13.46  Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True
% 13.17/13.46  Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True
% 13.17/13.46  Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True
% 13.17/13.46  Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True
% 13.17/13.46  Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True
% 13.17/13.46  Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  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
% 13.17/13.46  Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True
% 13.17/13.46  Clause #94 (by assumption #[]): Eq
% 13.17/13.46    (Not
% 13.17/13.46      (∀ (A B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.17/13.46        And
% 13.17/13.46            (And
% 13.17/13.46              (And
% 13.17/13.46                (And
% 13.17/13.46                  (And
% 13.17/13.46                    (And
% 13.17/13.46                      (And
% 13.17/13.46                        (And
% 13.17/13.46                          (And (And (And (And (circle O A B C) (circle O A P1 NWPNT1)) (perp F P1 A C)) (coll F A C))
% 13.17/13.46                            (perp G P1 A B))
% 13.17/13.46                          (coll G A B))
% 13.17/13.46                        (circle O A P NWPNT2))
% 13.17/13.46                      (perp G1 P A B))
% 13.17/13.46                    (coll G1 A B))
% 13.17/13.46                  (perp F1 P A C))
% 13.17/13.46                (coll F1 A C))
% 13.17/13.46              (perp F G P K))
% 13.17/13.46            (perp G1 F1 P1 K) →
% 13.17/13.46          cyclic A P1 P K))
% 13.17/13.46    True
% 13.17/13.46  Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True
% 13.17/13.46  Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True
% 13.17/13.46  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
% 13.17/13.46  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)
% 13.17/13.46  Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True
% 13.17/13.46  Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True
% 13.17/13.46  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
% 13.17/13.46  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)
% 13.17/13.46  Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True
% 13.17/13.46  Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True
% 13.17/13.46  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
% 13.17/13.46  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)
% 13.17/13.46  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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)
% 13.17/13.49  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))
% 13.17/13.49  Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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)
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.17/13.49    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)
% 13.17/13.49  Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.17/13.49    Or (Eq (cyclic a a_1 a_2 a_3) True)
% 13.17/13.49      (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))
% 13.17/13.49  Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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)
% 13.17/13.49  Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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)
% 13.17/13.49  Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True
% 13.17/13.49  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
% 13.17/13.49  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
% 13.17/13.49  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
% 13.32/13.51  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)
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.32/13.51    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)
% 13.32/13.51  Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.32/13.51    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))
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.32/13.51    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)
% 13.32/13.51  Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.32/13.51    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))
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  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
% 13.32/13.51  Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.32/13.51    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
% 13.32/13.51  Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.32/13.51    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
% 13.32/13.51  Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.32/13.51    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
% 13.32/13.51  Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.51    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
% 13.32/13.51  Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.51    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)
% 13.32/13.51  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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)
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  Clause #393 (by clausification #[392]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #395 (by clausification #[394]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #396 (by clausification #[395]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #397 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.54    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)
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  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
% 13.32/13.54  Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.54    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
% 13.32/13.54  Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.54    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)
% 13.32/13.54  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
% 13.32/13.56  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
% 13.32/13.56  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
% 13.32/13.56  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
% 13.32/13.56  Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.32/13.56    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
% 13.32/13.56  Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.32/13.56    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
% 13.32/13.56  Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.32/13.56    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
% 13.32/13.56  Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.56    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
% 13.32/13.56  Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.32/13.56    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)
% 13.32/13.56  Clause #604 (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
% 13.32/13.56  Clause #605 (by clausification #[604]): ∀ (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
% 13.32/13.56  Clause #606 (by clausification #[605]): ∀ (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
% 13.32/13.56  Clause #607 (by clausification #[606]): ∀ (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
% 13.32/13.56  Clause #608 (by clausification #[607]): ∀ (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
% 13.32/13.56  Clause #609 (by clausification #[608]): ∀ (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
% 13.32/13.56  Clause #610 (by clausification #[609]): ∀ (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)
% 13.32/13.56  Clause #735 (by clausification #[94]): Eq
% 13.32/13.56    (∀ (A B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.32/13.56      And
% 13.32/13.56          (And
% 13.32/13.56            (And
% 13.32/13.56              (And
% 13.32/13.56                (And
% 13.32/13.56                  (And
% 13.32/13.56                    (And
% 13.32/13.56                      (And
% 13.32/13.56                        (And (And (And (And (circle O A B C) (circle O A P1 NWPNT1)) (perp F P1 A C)) (coll F A C))
% 13.32/13.56                          (perp G P1 A B))
% 13.32/13.56                        (coll G A B))
% 13.32/13.56                      (circle O A P NWPNT2))
% 13.32/13.56                    (perp G1 P A B))
% 13.32/13.56                  (coll G1 A B))
% 13.32/13.56                (perp F1 P A C))
% 13.32/13.56              (coll F1 A C))
% 13.32/13.56            (perp F G P K))
% 13.32/13.56          (perp G1 F1 P1 K) →
% 13.32/13.56        cyclic A P1 P K)
% 13.32/13.56    False
% 13.32/13.56  Clause #736 (by clausification #[735]): ∀ (a : Iota),
% 13.32/13.56    Eq
% 13.32/13.56      (Not
% 13.32/13.56        (∀ (B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.32/13.56          And
% 13.32/13.56              (And
% 13.32/13.56                (And
% 13.32/13.56                  (And
% 13.32/13.56                    (And
% 13.32/13.56                      (And
% 13.32/13.56                        (And
% 13.32/13.56                          (And
% 13.32/13.56                            (And
% 13.32/13.56                              (And
% 13.32/13.56                                (And (And (circle O (skS.0 12 a) B C) (circle O (skS.0 12 a) P1 NWPNT1))
% 13.32/13.56                                  (perp F P1 (skS.0 12 a) C))
% 13.32/13.56                                (coll F (skS.0 12 a) C))
% 13.32/13.56                              (perp G P1 (skS.0 12 a) B))
% 13.32/13.56                            (coll G (skS.0 12 a) B))
% 13.32/13.56                          (circle O (skS.0 12 a) P NWPNT2))
% 13.32/13.56                        (perp G1 P (skS.0 12 a) B))
% 13.32/13.56                      (coll G1 (skS.0 12 a) B))
% 13.32/13.56                    (perp F1 P (skS.0 12 a) C))
% 13.32/13.56                  (coll F1 (skS.0 12 a) C))
% 13.42/13.58                (perp F G P K))
% 13.42/13.58              (perp G1 F1 P1 K) →
% 13.42/13.58            cyclic (skS.0 12 a) P1 P K))
% 13.42/13.58      True
% 13.42/13.58  Clause #737 (by clausification #[736]): ∀ (a : Iota),
% 13.42/13.58    Eq
% 13.42/13.58      (∀ (B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.58        And
% 13.42/13.58            (And
% 13.42/13.58              (And
% 13.42/13.58                (And
% 13.42/13.58                  (And
% 13.42/13.58                    (And
% 13.42/13.58                      (And
% 13.42/13.58                        (And
% 13.42/13.58                          (And
% 13.42/13.58                            (And
% 13.42/13.58                              (And (And (circle O (skS.0 12 a) B C) (circle O (skS.0 12 a) P1 NWPNT1))
% 13.42/13.58                                (perp F P1 (skS.0 12 a) C))
% 13.42/13.58                              (coll F (skS.0 12 a) C))
% 13.42/13.58                            (perp G P1 (skS.0 12 a) B))
% 13.42/13.58                          (coll G (skS.0 12 a) B))
% 13.42/13.58                        (circle O (skS.0 12 a) P NWPNT2))
% 13.42/13.58                      (perp G1 P (skS.0 12 a) B))
% 13.42/13.58                    (coll G1 (skS.0 12 a) B))
% 13.42/13.58                  (perp F1 P (skS.0 12 a) C))
% 13.42/13.58                (coll F1 (skS.0 12 a) C))
% 13.42/13.58              (perp F G P K))
% 13.42/13.58            (perp G1 F1 P1 K) →
% 13.42/13.58          cyclic (skS.0 12 a) P1 P K)
% 13.42/13.58      False
% 13.42/13.58  Clause #738 (by clausification #[737]): ∀ (a a_1 : Iota),
% 13.42/13.58    Eq
% 13.42/13.58      (Not
% 13.42/13.58        (∀ (C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.58          And
% 13.42/13.58              (And
% 13.42/13.58                (And
% 13.42/13.58                  (And
% 13.42/13.58                    (And
% 13.42/13.58                      (And
% 13.42/13.58                        (And
% 13.42/13.58                          (And
% 13.42/13.58                            (And
% 13.42/13.58                              (And
% 13.42/13.58                                (And (And (circle O (skS.0 12 a) (skS.0 13 a a_1) C) (circle O (skS.0 12 a) P1 NWPNT1))
% 13.42/13.58                                  (perp F P1 (skS.0 12 a) C))
% 13.42/13.58                                (coll F (skS.0 12 a) C))
% 13.42/13.58                              (perp G P1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                            (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                          (circle O (skS.0 12 a) P NWPNT2))
% 13.42/13.58                        (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                    (perp F1 P (skS.0 12 a) C))
% 13.42/13.58                  (coll F1 (skS.0 12 a) C))
% 13.42/13.58                (perp F G P K))
% 13.42/13.58              (perp G1 F1 P1 K) →
% 13.42/13.58            cyclic (skS.0 12 a) P1 P K))
% 13.42/13.58      True
% 13.42/13.58  Clause #739 (by clausification #[738]): ∀ (a a_1 : Iota),
% 13.42/13.58    Eq
% 13.42/13.58      (∀ (C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.58        And
% 13.42/13.58            (And
% 13.42/13.58              (And
% 13.42/13.58                (And
% 13.42/13.58                  (And
% 13.42/13.58                    (And
% 13.42/13.58                      (And
% 13.42/13.58                        (And
% 13.42/13.58                          (And
% 13.42/13.58                            (And
% 13.42/13.58                              (And (And (circle O (skS.0 12 a) (skS.0 13 a a_1) C) (circle O (skS.0 12 a) P1 NWPNT1))
% 13.42/13.58                                (perp F P1 (skS.0 12 a) C))
% 13.42/13.58                              (coll F (skS.0 12 a) C))
% 13.42/13.58                            (perp G P1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                          (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                        (circle O (skS.0 12 a) P NWPNT2))
% 13.42/13.58                      (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                  (perp F1 P (skS.0 12 a) C))
% 13.42/13.58                (coll F1 (skS.0 12 a) C))
% 13.42/13.58              (perp F G P K))
% 13.42/13.58            (perp G1 F1 P1 K) →
% 13.42/13.58          cyclic (skS.0 12 a) P1 P K)
% 13.42/13.58      False
% 13.42/13.58  Clause #740 (by clausification #[739]): ∀ (a a_1 a_2 : Iota),
% 13.42/13.58    Eq
% 13.42/13.58      (Not
% 13.42/13.58        (∀ (O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.58          And
% 13.42/13.58              (And
% 13.42/13.58                (And
% 13.42/13.58                  (And
% 13.42/13.58                    (And
% 13.42/13.58                      (And
% 13.42/13.58                        (And
% 13.42/13.58                          (And
% 13.42/13.58                            (And
% 13.42/13.58                              (And
% 13.42/13.58                                (And
% 13.42/13.58                                  (And (circle O (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.58                                    (circle O (skS.0 12 a) P1 NWPNT1))
% 13.42/13.58                                  (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.58                                (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.58                              (perp G P1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.58                            (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                          (circle O (skS.0 12 a) P NWPNT2))
% 13.42/13.60                        (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                    (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                (perp F G P K))
% 13.42/13.60              (perp G1 F1 P1 K) →
% 13.42/13.60            cyclic (skS.0 12 a) P1 P K))
% 13.42/13.60      True
% 13.42/13.60  Clause #741 (by clausification #[740]): ∀ (a a_1 a_2 : Iota),
% 13.42/13.60    Eq
% 13.42/13.60      (∀ (O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.60        And
% 13.42/13.60            (And
% 13.42/13.60              (And
% 13.42/13.60                (And
% 13.42/13.60                  (And
% 13.42/13.60                    (And
% 13.42/13.60                      (And
% 13.42/13.60                        (And
% 13.42/13.60                          (And
% 13.42/13.60                            (And
% 13.42/13.60                              (And
% 13.42/13.60                                (And (circle O (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.60                                  (circle O (skS.0 12 a) P1 NWPNT1))
% 13.42/13.60                                (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                              (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                            (perp G P1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                          (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                        (circle O (skS.0 12 a) P NWPNT2))
% 13.42/13.60                      (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                  (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60              (perp F G P K))
% 13.42/13.60            (perp G1 F1 P1 K) →
% 13.42/13.60          cyclic (skS.0 12 a) P1 P K)
% 13.42/13.60      False
% 13.42/13.60  Clause #742 (by clausification #[741]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.42/13.60    Eq
% 13.42/13.60      (Not
% 13.42/13.60        (∀ (P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.60          And
% 13.42/13.60              (And
% 13.42/13.60                (And
% 13.42/13.60                  (And
% 13.42/13.60                    (And
% 13.42/13.60                      (And
% 13.42/13.60                        (And
% 13.42/13.60                          (And
% 13.42/13.60                            (And
% 13.42/13.60                              (And
% 13.42/13.60                                (And
% 13.42/13.60                                  (And
% 13.42/13.60                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.60                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P1 NWPNT1))
% 13.42/13.60                                  (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                                (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                              (perp G P1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                            (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.60                        (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                    (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                (perp F G P K))
% 13.42/13.60              (perp G1 F1 P1 K) →
% 13.42/13.60            cyclic (skS.0 12 a) P1 P K))
% 13.42/13.60      True
% 13.42/13.60  Clause #743 (by clausification #[742]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.42/13.60    Eq
% 13.42/13.60      (∀ (P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.60        And
% 13.42/13.60            (And
% 13.42/13.60              (And
% 13.42/13.60                (And
% 13.42/13.60                  (And
% 13.42/13.60                    (And
% 13.42/13.60                      (And
% 13.42/13.60                        (And
% 13.42/13.60                          (And
% 13.42/13.60                            (And
% 13.42/13.60                              (And
% 13.42/13.60                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.60                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P1 NWPNT1))
% 13.42/13.60                                (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                              (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.60                            (perp G P1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                          (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.60                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.60                      (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                  (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62              (perp F G P K))
% 13.42/13.62            (perp G1 F1 P1 K) →
% 13.42/13.62          cyclic (skS.0 12 a) P1 P K)
% 13.42/13.62      False
% 13.42/13.62  Clause #744 (by clausification #[743]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.42/13.62    Eq
% 13.42/13.62      (Not
% 13.42/13.62        (∀ (F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.62          And
% 13.42/13.62              (And
% 13.42/13.62                (And
% 13.42/13.62                  (And
% 13.42/13.62                    (And
% 13.42/13.62                      (And
% 13.42/13.62                        (And
% 13.42/13.62                          (And
% 13.42/13.62                            (And
% 13.42/13.62                              (And
% 13.42/13.62                                (And
% 13.42/13.62                                  (And
% 13.42/13.62                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.62                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.62                                  (perp F (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                                (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                              (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                            (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.62                        (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                    (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                (perp F G P K))
% 13.42/13.62              (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.62            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K))
% 13.42/13.62      True
% 13.42/13.62  Clause #745 (by clausification #[744]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.42/13.62    Eq
% 13.42/13.62      (∀ (F G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.62        And
% 13.42/13.62            (And
% 13.42/13.62              (And
% 13.42/13.62                (And
% 13.42/13.62                  (And
% 13.42/13.62                    (And
% 13.42/13.62                      (And
% 13.42/13.62                        (And
% 13.42/13.62                          (And
% 13.42/13.62                            (And
% 13.42/13.62                              (And
% 13.42/13.62                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.62                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.62                                (perp F (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                              (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                            (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                          (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.62                      (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.62                  (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.62              (perp F G P K))
% 13.42/13.62            (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.62          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K)
% 13.42/13.62      False
% 13.42/13.62  Clause #746 (by clausification #[745]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.42/13.62    Eq
% 13.42/13.62      (Not
% 13.42/13.62        (∀ (G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.62          And
% 13.42/13.62              (And
% 13.42/13.62                (And
% 13.42/13.62                  (And
% 13.42/13.62                    (And
% 13.42/13.62                      (And
% 13.42/13.62                        (And
% 13.42/13.62                          (And
% 13.42/13.62                            (And
% 13.42/13.62                              (And
% 13.42/13.62                                (And
% 13.42/13.62                                  (And
% 13.42/13.62                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.62                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.62                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.62                                    (skS.0 14 a a_1 a_2)))
% 13.42/13.62                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                              (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                            (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.64                        (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                    (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) G P K))
% 13.42/13.64              (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.64            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K))
% 13.42/13.64      True
% 13.42/13.64  Clause #747 (by clausification #[746]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 13.42/13.64    Eq
% 13.42/13.64      (∀ (G P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.64        And
% 13.42/13.64            (And
% 13.42/13.64              (And
% 13.42/13.64                (And
% 13.42/13.64                  (And
% 13.42/13.64                    (And
% 13.42/13.64                      (And
% 13.42/13.64                        (And
% 13.42/13.64                          (And
% 13.42/13.64                            (And
% 13.42/13.64                              (And
% 13.42/13.64                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.64                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.64                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.64                                  (skS.0 14 a a_1 a_2)))
% 13.42/13.64                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                            (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                          (coll G (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.64                      (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                  (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) G P K))
% 13.42/13.64            (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.64          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K)
% 13.42/13.64      False
% 13.42/13.64  Clause #748 (by clausification #[747]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.42/13.64    Eq
% 13.42/13.64      (Not
% 13.42/13.64        (∀ (P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.64          And
% 13.42/13.64              (And
% 13.42/13.64                (And
% 13.42/13.64                  (And
% 13.42/13.64                    (And
% 13.42/13.64                      (And
% 13.42/13.64                        (And
% 13.42/13.64                          (And
% 13.42/13.64                            (And
% 13.42/13.64                              (And
% 13.42/13.64                                (And
% 13.42/13.64                                  (And
% 13.42/13.64                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.64                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.64                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.64                                    (skS.0 14 a a_1 a_2)))
% 13.42/13.64                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                              (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.64                                (skS.0 13 a a_1)))
% 13.42/13.64                            (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.64                        (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.64                    (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.64                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) P K))
% 13.42/13.64              (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.64            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K))
% 13.42/13.66      True
% 13.42/13.66  Clause #749 (by clausification #[748]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.42/13.66    Eq
% 13.42/13.66      (∀ (P G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.66        And
% 13.42/13.66            (And
% 13.42/13.66              (And
% 13.42/13.66                (And
% 13.42/13.66                  (And
% 13.42/13.66                    (And
% 13.42/13.66                      (And
% 13.42/13.66                        (And
% 13.42/13.66                          (And
% 13.42/13.66                            (And
% 13.42/13.66                              (And
% 13.42/13.66                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.66                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.66                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.66                                  (skS.0 14 a a_1 a_2)))
% 13.42/13.66                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.66                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.66                              (skS.0 13 a a_1)))
% 13.42/13.66                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.66                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2))
% 13.42/13.66                      (perp G1 P (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.66                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.66                  (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.66                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.66              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) P K))
% 13.42/13.66            (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.66          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K)
% 13.42/13.66      False
% 13.42/13.66  Clause #750 (by clausification #[749]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.42/13.66    Eq
% 13.42/13.66      (Not
% 13.42/13.66        (∀ (G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.66          And
% 13.42/13.66              (And
% 13.42/13.66                (And
% 13.42/13.66                  (And
% 13.42/13.66                    (And
% 13.42/13.66                      (And
% 13.42/13.66                        (And
% 13.42/13.66                          (And
% 13.42/13.66                            (And
% 13.42/13.66                              (And
% 13.42/13.66                                (And
% 13.42/13.66                                  (And
% 13.42/13.66                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.42/13.66                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.42/13.66                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.66                                    (skS.0 14 a a_1 a_2)))
% 13.42/13.66                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.66                              (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.42/13.66                                (skS.0 13 a a_1)))
% 13.42/13.66                            (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.66                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.42/13.66                        (perp G1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.66                      (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.42/13.66                    (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.66                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.42/13.66                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.42/13.66                  (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.42/13.66              (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.42/13.66            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.42/13.66      True
% 13.42/13.66  Clause #751 (by clausification #[750]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 13.42/13.66    Eq
% 13.42/13.66      (∀ (G1 F1 K NWPNT1 NWPNT2 : Iota),
% 13.42/13.66        And
% 13.42/13.66            (And
% 13.42/13.66              (And
% 13.42/13.66                (And
% 13.42/13.66                  (And
% 13.42/13.66                    (And
% 13.42/13.66                      (And
% 13.42/13.66                        (And
% 13.42/13.66                          (And
% 13.42/13.66                            (And
% 13.42/13.66                              (And
% 13.42/13.66                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.52/13.69                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.52/13.69                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.52/13.69                                  (skS.0 14 a a_1 a_2)))
% 13.52/13.69                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.52/13.69                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.52/13.69                              (skS.0 13 a a_1)))
% 13.52/13.69                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.52/13.69                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.52/13.69                      (perp G1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.52/13.69                    (coll G1 (skS.0 12 a) (skS.0 13 a a_1)))
% 13.52/13.69                  (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.52/13.69                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.52/13.69              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.52/13.69                (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.52/13.69            (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.52/13.69          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)
% 13.52/13.69      False
% 13.52/13.69  Clause #752 (by clausification #[751]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.52/13.69    Eq
% 13.52/13.69      (Not
% 13.52/13.69        (∀ (F1 K NWPNT1 NWPNT2 : Iota),
% 13.52/13.69          And
% 13.52/13.69              (And
% 13.52/13.69                (And
% 13.52/13.69                  (And
% 13.52/13.69                    (And
% 13.52/13.69                      (And
% 13.52/13.69                        (And
% 13.52/13.69                          (And
% 13.52/13.69                            (And
% 13.52/13.69                              (And
% 13.52/13.69                                (And
% 13.52/13.69                                  (And
% 13.52/13.69                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.52/13.69                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.52/13.69                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.52/13.69                                    (skS.0 14 a a_1 a_2)))
% 13.52/13.69                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.52/13.69                              (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.52/13.69                                (skS.0 13 a a_1)))
% 13.52/13.69                            (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.52/13.69                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.52/13.69                        (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.52/13.69                          (skS.0 12 a) (skS.0 13 a a_1)))
% 13.52/13.69                      (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.52/13.69                    (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.52/13.69                  (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.52/13.69                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.52/13.69                  (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.52/13.69              (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.52/13.69            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.52/13.69      True
% 13.52/13.69  Clause #753 (by clausification #[752]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.52/13.69    Eq
% 13.52/13.69      (∀ (F1 K NWPNT1 NWPNT2 : Iota),
% 13.52/13.69        And
% 13.52/13.69            (And
% 13.52/13.69              (And
% 13.52/13.69                (And
% 13.52/13.69                  (And
% 13.52/13.69                    (And
% 13.52/13.69                      (And
% 13.52/13.69                        (And
% 13.52/13.69                          (And
% 13.52/13.69                            (And
% 13.52/13.69                              (And
% 13.52/13.69                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.54/13.71                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.54/13.71                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.54/13.71                                  (skS.0 14 a a_1 a_2)))
% 13.54/13.71                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.54/13.71                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.54/13.71                              (skS.0 13 a a_1)))
% 13.54/13.71                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.54/13.71                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.54/13.71                      (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.54/13.71                        (skS.0 12 a) (skS.0 13 a a_1)))
% 13.54/13.71                    (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.54/13.71                  (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.54/13.71                (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.54/13.71              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.54/13.71                (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.54/13.71            (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.54/13.71          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)
% 13.54/13.71      False
% 13.54/13.71  Clause #754 (by clausification #[753]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 13.54/13.71    Eq
% 13.54/13.71      (Not
% 13.54/13.71        (∀ (K NWPNT1 NWPNT2 : Iota),
% 13.54/13.71          And
% 13.54/13.71              (And
% 13.54/13.71                (And
% 13.54/13.71                  (And
% 13.54/13.71                    (And
% 13.54/13.71                      (And
% 13.54/13.71                        (And
% 13.54/13.71                          (And
% 13.54/13.71                            (And
% 13.54/13.71                              (And
% 13.54/13.71                                (And
% 13.54/13.71                                  (And
% 13.54/13.71                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.54/13.71                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.54/13.71                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.54/13.71                                    (skS.0 14 a a_1 a_2)))
% 13.54/13.71                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.54/13.71                              (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.54/13.71                                (skS.0 13 a a_1)))
% 13.54/13.71                            (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.54/13.71                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.54/13.71                        (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.54/13.71                          (skS.0 12 a) (skS.0 13 a a_1)))
% 13.54/13.71                      (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.54/13.71                    (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.54/13.71                      (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.54/13.71                  (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.54/13.71                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.54/13.71                  (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.54/13.71              (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.54/13.71                (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.54/13.71            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.54/13.71      True
% 13.54/13.71  Clause #755 (by clausification #[754]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 13.54/13.71    Eq
% 13.54/13.71      (∀ (K NWPNT1 NWPNT2 : Iota),
% 13.54/13.71        And
% 13.54/13.71            (And
% 13.56/13.72              (And
% 13.56/13.72                (And
% 13.56/13.72                  (And
% 13.56/13.72                    (And
% 13.56/13.72                      (And
% 13.56/13.72                        (And
% 13.56/13.72                          (And
% 13.56/13.72                            (And
% 13.56/13.72                              (And
% 13.56/13.72                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.72                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.56/13.72                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.72                                  (skS.0 14 a a_1 a_2)))
% 13.56/13.72                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.72                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.72                              (skS.0 13 a a_1)))
% 13.56/13.72                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.72                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.56/13.72                      (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.72                        (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.72                    (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.72                  (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.72                    (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.72                (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.72              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.56/13.72                (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K))
% 13.56/13.72            (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.56/13.72              (skS.0 16 a a_1 a_2 a_3 a_4) K) →
% 13.56/13.72          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)
% 13.56/13.72      False
% 13.56/13.72  Clause #756 (by clausification #[755]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.56/13.72    Eq
% 13.56/13.72      (Not
% 13.56/13.72        (∀ (NWPNT1 NWPNT2 : Iota),
% 13.56/13.72          And
% 13.56/13.72              (And
% 13.56/13.72                (And
% 13.56/13.72                  (And
% 13.56/13.72                    (And
% 13.56/13.72                      (And
% 13.56/13.72                        (And
% 13.56/13.72                          (And
% 13.56/13.72                            (And
% 13.56/13.72                              (And
% 13.56/13.72                                (And
% 13.56/13.72                                  (And
% 13.56/13.72                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.72                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.56/13.72                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.72                                    (skS.0 14 a a_1 a_2)))
% 13.56/13.72                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.72                              (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.72                                (skS.0 13 a a_1)))
% 13.56/13.72                            (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.72                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.56/13.72                        (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.72                          (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.72                      (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.72                    (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.72                      (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.72                  (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.72                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.56/13.72                  (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.75              (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.56/13.75                (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) →
% 13.56/13.75            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.75              (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.75      True
% 13.56/13.75  Clause #757 (by clausification #[756]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.56/13.75    Eq
% 13.56/13.75      (∀ (NWPNT1 NWPNT2 : Iota),
% 13.56/13.75        And
% 13.56/13.75            (And
% 13.56/13.75              (And
% 13.56/13.75                (And
% 13.56/13.75                  (And
% 13.56/13.75                    (And
% 13.56/13.75                      (And
% 13.56/13.75                        (And
% 13.56/13.75                          (And
% 13.56/13.75                            (And
% 13.56/13.75                              (And
% 13.56/13.75                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.75                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1))
% 13.56/13.75                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.75                                  (skS.0 14 a a_1 a_2)))
% 13.56/13.75                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.75                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.75                              (skS.0 13 a a_1)))
% 13.56/13.75                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.75                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.56/13.75                      (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.75                        (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.75                    (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.75                  (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.75                    (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.75                (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.75              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.56/13.75                (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.75            (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.56/13.75              (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) →
% 13.56/13.75          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.75            (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.56/13.75      False
% 13.56/13.75  Clause #758 (by clausification #[757]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 13.56/13.75    Eq
% 13.56/13.75      (Not
% 13.56/13.75        (∀ (NWPNT2 : Iota),
% 13.56/13.75          And
% 13.56/13.75              (And
% 13.56/13.75                (And
% 13.56/13.75                  (And
% 13.56/13.75                    (And
% 13.56/13.75                      (And
% 13.56/13.75                        (And
% 13.56/13.75                          (And
% 13.56/13.75                            (And
% 13.56/13.75                              (And
% 13.56/13.75                                (And
% 13.56/13.75                                  (And
% 13.56/13.75                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.75                                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4)
% 13.56/13.75                                      (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 13.56/13.75                                  (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.75                                    (skS.0 14 a a_1 a_2)))
% 13.56/13.75                                (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.75                              (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.75                                (skS.0 13 a a_1)))
% 13.56/13.75                            (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.77                          (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.56/13.77                        (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.77                          (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.77                      (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.77                    (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.77                      (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.77                  (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.77                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.56/13.77                  (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.77              (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.56/13.77                (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) →
% 13.56/13.77            cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.77              (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.77      True
% 13.56/13.77  Clause #759 (by clausification #[758]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 13.56/13.77    Eq
% 13.56/13.77      (∀ (NWPNT2 : Iota),
% 13.56/13.77        And
% 13.56/13.77            (And
% 13.56/13.77              (And
% 13.56/13.77                (And
% 13.56/13.77                  (And
% 13.56/13.77                    (And
% 13.56/13.77                      (And
% 13.56/13.77                        (And
% 13.56/13.77                          (And
% 13.56/13.77                            (And
% 13.56/13.77                              (And
% 13.56/13.77                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.77                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4)
% 13.56/13.77                                    (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 13.56/13.77                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.77                                  (skS.0 14 a a_1 a_2)))
% 13.56/13.77                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.77                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.77                              (skS.0 13 a a_1)))
% 13.56/13.77                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.77                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2))
% 13.56/13.77                      (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.77                        (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.77                    (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.77                  (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.77                    (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.77                (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.77              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.56/13.77                (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.77            (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.56/13.77              (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) →
% 13.56/13.77          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.77            (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.56/13.77      False
% 13.56/13.77  Clause #760 (by clausification #[759]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 13.56/13.77    Eq
% 13.56/13.77      (Not
% 13.56/13.77        (And
% 13.56/13.77            (And
% 13.56/13.77              (And
% 13.56/13.77                (And
% 13.56/13.77                  (And
% 13.56/13.77                    (And
% 13.56/13.77                      (And
% 13.56/13.77                        (And
% 13.56/13.77                          (And
% 13.56/13.78                            (And
% 13.56/13.78                              (And
% 13.56/13.78                                (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.78                                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4)
% 13.56/13.78                                    (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 13.56/13.78                                (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.78                                  (skS.0 14 a a_1 a_2)))
% 13.56/13.78                              (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.78                            (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.78                              (skS.0 13 a a_1)))
% 13.56/13.78                          (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.78                        (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78                          (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12)))
% 13.56/13.78                      (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78                        (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.78                    (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.78                  (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78                    (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.78                (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.78              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.56/13.78                (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.78            (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.56/13.78              (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) →
% 13.56/13.78          cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78            (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.56/13.78      True
% 13.56/13.78  Clause #761 (by clausification #[760]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 13.56/13.78    Eq
% 13.56/13.78      (And
% 13.56/13.78          (And
% 13.56/13.78            (And
% 13.56/13.78              (And
% 13.56/13.78                (And
% 13.56/13.78                  (And
% 13.56/13.78                    (And
% 13.56/13.78                      (And
% 13.56/13.78                        (And
% 13.56/13.78                          (And
% 13.56/13.78                            (And
% 13.56/13.78                              (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.56/13.78                                (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4)
% 13.56/13.78                                  (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 13.56/13.78                              (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.78                                (skS.0 14 a a_1 a_2)))
% 13.56/13.78                            (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.78                          (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.56/13.78                            (skS.0 13 a a_1)))
% 13.56/13.78                        (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.78                      (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78                        (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12)))
% 13.56/13.78                    (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78                      (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.78                  (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.56/13.78                (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.56/13.78                  (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.56/13.78              (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.64/13.81            (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.81              (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.64/13.81          (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.64/13.81            (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) →
% 13.64/13.81        cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.81          (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.64/13.81      False
% 13.64/13.81  Clause #762 (by clausification #[761]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 13.64/13.81    Eq
% 13.64/13.81      (And
% 13.64/13.81        (And
% 13.64/13.81          (And
% 13.64/13.81            (And
% 13.64/13.81              (And
% 13.64/13.81                (And
% 13.64/13.81                  (And
% 13.64/13.81                    (And
% 13.64/13.81                      (And
% 13.64/13.81                        (And
% 13.64/13.81                          (And
% 13.64/13.81                            (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.64/13.81                              (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4)
% 13.64/13.81                                (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 13.64/13.81                            (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.64/13.81                              (skS.0 14 a a_1 a_2)))
% 13.64/13.81                          (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.64/13.81                        (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.64/13.81                          (skS.0 13 a a_1)))
% 13.64/13.81                      (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.64/13.81                    (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.81                      (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12)))
% 13.64/13.81                  (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a)
% 13.64/13.81                    (skS.0 13 a a_1)))
% 13.64/13.81                (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.64/13.81              (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a)
% 13.64/13.81                (skS.0 14 a a_1 a_2)))
% 13.64/13.81            (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.64/13.81          (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.81            (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.64/13.81        (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)
% 13.64/13.81          (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.64/13.81      True
% 13.64/13.81  Clause #763 (by clausification #[761]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.81    Eq
% 13.64/13.81      (cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.81        (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.64/13.81      False
% 13.64/13.81  Clause #765 (by clausification #[762]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 13.64/13.81    Eq
% 13.64/13.81      (And
% 13.64/13.81        (And
% 13.64/13.81          (And
% 13.64/13.81            (And
% 13.64/13.81              (And
% 13.64/13.81                (And
% 13.64/13.81                  (And
% 13.64/13.81                    (And
% 13.64/13.81                      (And
% 13.64/13.81                        (And
% 13.64/13.81                          (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2))
% 13.64/13.81                            (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4)
% 13.64/13.81                              (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 13.64/13.81                          (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.64/13.81                            (skS.0 14 a a_1 a_2)))
% 13.64/13.81                        (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.64/13.81                      (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a)
% 13.64/13.81                        (skS.0 13 a a_1)))
% 13.64/13.83                    (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.64/13.83                  (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.83                    (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12)))
% 13.64/13.83                (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a)
% 13.64/13.83                  (skS.0 13 a a_1)))
% 13.64/13.83              (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1)))
% 13.64/13.83            (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a)
% 13.64/13.83              (skS.0 14 a a_1 a_2)))
% 13.64/13.83          (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2)))
% 13.64/13.83        (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.83          (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 13.64/13.83      True
% 13.64/13.83  Clause #887 (by clausification #[765]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Eq
% 13.64/13.83      (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.83        (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.64/13.83      True
% 13.64/13.83  Clause #889 (by superposition #[887, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Or (Eq True False)
% 13.64/13.83      (Eq
% 13.64/13.83        (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.83          (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.64/13.83        True)
% 13.64/13.83  Clause #890 (by superposition #[887, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Or (Eq True False)
% 13.64/13.83      (Eq
% 13.64/13.83        (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)
% 13.64/13.83          (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.83        True)
% 13.64/13.83  Clause #900 (by clausification #[890]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Eq
% 13.64/13.83      (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)
% 13.64/13.83        (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.83      True
% 13.64/13.83  Clause #901 (by superposition #[900, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Or (Eq True False)
% 13.64/13.83      (Eq
% 13.64/13.83        (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)
% 13.64/13.83          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5))
% 13.64/13.83        True)
% 13.64/13.83  Clause #912 (by clausification #[901]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Eq
% 13.64/13.83      (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)
% 13.64/13.83        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5))
% 13.64/13.83      True
% 13.64/13.83  Clause #913 (by superposition #[912, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Or (Eq True False)
% 13.64/13.83      (Eq
% 13.64/13.83        (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.83          (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.64/13.83        True)
% 13.64/13.83  Clause #923 (by clausification #[913]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Eq
% 13.64/13.83      (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.83        (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))
% 13.64/13.83      True
% 13.64/13.83  Clause #924 (by superposition #[923, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Or (Eq True False)
% 13.64/13.83      (Eq
% 13.64/13.83        (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.83          (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.64/13.83        True)
% 13.64/13.83  Clause #934 (by clausification #[924]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.83    Eq
% 13.64/13.83      (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.83        (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.64/13.83      True
% 13.64/13.83  Clause #935 (by superposition #[934, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.85    Or (Eq True False)
% 13.64/13.85      (Eq
% 13.64/13.85        (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.85          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5))
% 13.64/13.85        True)
% 13.64/13.85  Clause #956 (by clausification #[935]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.85    Eq
% 13.64/13.85      (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.85        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5))
% 13.64/13.85      True
% 13.64/13.85  Clause #957 (by superposition #[956, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.85    Or (Eq True False)
% 13.64/13.85      (Eq
% 13.64/13.85        (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.85          (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.85        True)
% 13.64/13.85  Clause #967 (by clausification #[957]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.85    Eq
% 13.64/13.85      (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.64/13.85        (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.85      True
% 13.64/13.85  Clause #977 (by clausification #[889]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 13.64/13.85    Eq
% 13.64/13.85      (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.85        (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.64/13.85      True
% 13.64/13.85  Clause #978 (by superposition #[977, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 13.64/13.85    Or (Eq (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8) True)
% 13.64/13.85      (Or (Eq True False)
% 13.64/13.85        (Eq
% 13.64/13.85          (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_9 a_10 a_11 a_12) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_9) a_7 a_8)
% 13.64/13.85          False))
% 13.64/13.85  Clause #987 (by clausification #[978]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 13.64/13.85    Or (Eq (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8) True)
% 13.64/13.85      (Eq (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_9 a_10 a_11 a_12) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_9) a_7 a_8)
% 13.64/13.85        False)
% 13.64/13.85  Clause #989 (by superposition #[987, 967]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.64/13.85    Or
% 13.64/13.85      (Eq
% 13.64/13.85        (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.85          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.85        True)
% 13.64/13.85      (Eq False True)
% 13.64/13.85  Clause #990 (by clausification #[989]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.64/13.85    Eq
% 13.64/13.85      (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.85        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.85      True
% 13.64/13.85  Clause #993 (by superposition #[990, 156]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.64/13.85    Or (Eq True False)
% 13.64/13.85      (Eq
% 13.64/13.85        (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.85          (skS.0 17 a a_1 a_2 a_3 a_4 a_5))
% 13.64/13.85        True)
% 13.64/13.85  Clause #1028 (by clausification #[993]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.64/13.85    Eq
% 13.64/13.85      (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.64/13.85        (skS.0 17 a a_1 a_2 a_3 a_4 a_5))
% 13.64/13.85      True
% 13.64/13.85  Clause #1031 (by superposition #[1028, 189]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.64/13.85    Or (Eq True False)
% 13.64/13.85      (Eq
% 13.64/13.85        (para (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.85          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.85        True)
% 13.64/13.85  Clause #1035 (by clausification #[1031]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 13.64/13.85    Eq
% 13.64/13.85      (para (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.64/13.85        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6))
% 13.64/13.85      True
% 13.64/13.85  Clause #1040 (by superposition #[1035, 610]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.64/13.85    Or (Eq True False)
% 13.64/13.85      (Eq
% 13.64/13.85        (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8
% 13.64/13.85          (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8)
% 13.72/13.88        True)
% 13.72/13.88  Clause #1129 (by clausification #[1040]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8
% 13.72/13.88        (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8)
% 13.72/13.88      True
% 13.72/13.88  Clause #1131 (by superposition #[1129, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.88        (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.72/13.88          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_7 a_8)
% 13.72/13.88        True)
% 13.72/13.88  Clause #1134 (by clausification #[1131]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.72/13.88        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_7 a_8)
% 13.72/13.88      True
% 13.72/13.88  Clause #1137 (by superposition #[1134, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.88        (eqangle a a_1 a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.72/13.88          (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8))
% 13.72/13.88        True)
% 13.72/13.88  Clause #1142 (by clausification #[1137]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle a a_1 a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)
% 13.72/13.88        (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8))
% 13.72/13.88      True
% 13.72/13.88  Clause #1144 (by superposition #[1142, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.88        (eqangle a a_1 a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 13.72/13.88          (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.88        True)
% 13.72/13.88  Clause #1149 (by clausification #[1144]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle a a_1 a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 13.72/13.88        (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.88      True
% 13.72/13.88  Clause #1153 (by superposition #[1149, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.88        (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a a_1
% 13.72/13.88          (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.88        True)
% 13.72/13.88  Clause #1156 (by clausification #[1153]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a a_1
% 13.72/13.88        (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.88      True
% 13.72/13.88  Clause #1157 (by superposition #[1156, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.88        (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a_1 a
% 13.72/13.88          (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.88        True)
% 13.72/13.88  Clause #1161 (by clausification #[1157]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a_1 a
% 13.72/13.88        (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.88      True
% 13.72/13.88  Clause #1165 (by superposition #[1161, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.88        (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a
% 13.72/13.88          (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8))
% 13.72/13.88        True)
% 13.72/13.88  Clause #1178 (by clausification #[1165]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Eq
% 13.72/13.88      (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a
% 13.72/13.88        (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8))
% 13.72/13.88      True
% 13.72/13.88  Clause #1181 (by superposition #[1178, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.88    Or (Eq True False)
% 13.72/13.88      (Eq
% 13.72/13.90        (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8
% 13.72/13.90          (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_8 a_7)
% 13.72/13.90        True)
% 13.72/13.90  Clause #1186 (by clausification #[1181]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Eq
% 13.72/13.90      (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8
% 13.72/13.90        (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_8 a_7)
% 13.72/13.90      True
% 13.72/13.90  Clause #1189 (by superposition #[1186, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Or (Eq True False)
% 13.72/13.90      (Eq
% 13.72/13.90        (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.72/13.90          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_8 a_7)
% 13.72/13.90        True)
% 13.72/13.90  Clause #1192 (by clausification #[1189]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Eq
% 13.72/13.90      (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.72/13.90        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_8 a_7)
% 13.72/13.90      True
% 13.72/13.90  Clause #1194 (by superposition #[1192, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Or (Eq True False)
% 13.72/13.90      (Eq
% 13.72/13.90        (eqangle (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.72/13.90          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7)
% 13.72/13.90        True)
% 13.72/13.90  Clause #1200 (by clausification #[1194]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Eq
% 13.72/13.90      (eqangle (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.72/13.90        (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7)
% 13.72/13.90      True
% 13.72/13.90  Clause #1201 (by superposition #[1200, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Or (Eq True False)
% 13.72/13.90      (Eq
% 13.72/13.90        (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)
% 13.72/13.90          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7)
% 13.72/13.90        True)
% 13.72/13.90  Clause #1206 (by clausification #[1201]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Eq
% 13.72/13.90      (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)
% 13.72/13.90        (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7)
% 13.72/13.90      True
% 13.72/13.90  Clause #1213 (by superposition #[1206, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Or (Eq True False)
% 13.72/13.90      (Eq
% 13.72/13.90        (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8
% 13.72/13.90          (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_8 a_7)
% 13.72/13.90        True)
% 13.72/13.90  Clause #1218 (by clausification #[1213]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Eq
% 13.72/13.90      (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8
% 13.72/13.90        (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_8 a_7)
% 13.72/13.90      True
% 13.72/13.90  Clause #1223 (by superposition #[1218, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Or (Eq True False)
% 13.72/13.90      (Eq
% 13.72/13.90        (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a
% 13.72/13.90          (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.90        True)
% 13.72/13.90  Clause #1230 (by clausification #[1223]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 13.72/13.90    Eq
% 13.72/13.90      (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a
% 13.72/13.90        (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7))
% 13.72/13.90      True
% 13.72/13.90  Clause #1235 (by superposition #[1230, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True)
% 13.72/13.90  Clause #1243 (by clausification #[1235]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True
% 13.72/13.90  Clause #1246 (by superposition #[1243, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True)
% 13.72/13.90  Clause #1249 (by superposition #[1243, 610]): ∀ (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)
% 13.72/13.90  Clause #1260 (by clausification #[1246]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True
% 13.72/13.90  Clause #1261 (by superposition #[1260, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True)
% 13.72/13.93  Clause #1266 (by clausification #[1261]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True
% 13.72/13.93  Clause #1269 (by superposition #[1266, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True)
% 13.72/13.93  Clause #1278 (by clausification #[1269]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True
% 13.72/13.93  Clause #1281 (by superposition #[1278, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True)
% 13.72/13.93  Clause #1290 (by clausification #[1281]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True
% 13.72/13.93  Clause #1292 (by superposition #[1290, 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))
% 13.72/13.93  Clause #1302 (by clausification #[1249]): ∀ (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
% 13.72/13.93  Clause #1311 (by superposition #[1302, 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)
% 13.72/13.93  Clause #1315 (by clausification #[1311]): ∀ (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
% 13.72/13.93  Clause #1319 (by superposition #[1315, 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)
% 13.72/13.93  Clause #1376 (by clausification #[1319]): ∀ (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
% 13.72/13.93  Clause #1377 (by superposition #[1376, 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))
% 13.72/13.93  Clause #1388 (by clausification #[1292]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 13.72/13.93  Clause #1390 (by superposition #[1388, 1290]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True)
% 13.72/13.93  Clause #1391 (by clausification #[1390]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True
% 13.72/13.93  Clause #1467 (by clausification #[1377]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq (coll a_1 a_2 a) False)
% 13.72/13.93  Clause #1468 (by forward demodulation #[1467, 1391]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq True False)
% 13.72/13.93  Clause #1469 (by clausification #[1468]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True
% 13.72/13.93  Clause #1473 (by superposition #[1469, 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))
% 13.72/13.93  Clause #1739 (by clausification #[1473]): ∀ (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)
% 13.72/13.93  Clause #1740 (by superposition #[1739, 1469]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True)
% 13.72/13.93  Clause #1742 (by clausification #[1740]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True
% 13.72/13.93  Clause #1748 (by superposition #[1742, 763]): Eq True False
% 13.72/13.93  Clause #1750 (by clausification #[1748]): False
% 13.72/13.93  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------