TSTP Solution File: GEO555+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 22:56:41 EDT 2023
% Result : Theorem 16.87s 17.10s
% Output : Proof 17.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.08 % Command : duper %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Aug 29 23:35:02 EDT 2023
% 0.07/0.27 % CPUTime :
% 16.87/17.10 SZS status Theorem for theBenchmark.p
% 16.87/17.10 SZS output start Proof for theBenchmark.p
% 16.87/17.10 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True
% 16.87/17.10 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True
% 16.87/17.10 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True
% 16.87/17.10 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True
% 16.87/17.10 Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True
% 16.87/17.10 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True
% 16.87/17.10 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True
% 16.87/17.10 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
% 16.87/17.10 Clause #13 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A B D C) True
% 16.87/17.10 Clause #14 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A C B D) True
% 16.87/17.10 Clause #15 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic B A C D) True
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 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
% 16.87/17.10 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True
% 16.87/17.10 Clause #94 (by assumption #[]): Eq
% 16.87/17.10 (Not
% 16.87/17.10 (∀ (A B C D E F G H K I : Iota),
% 16.87/17.10 And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And
% 16.87/17.10 (And (And (And (And (perp D A B C) (coll D B C)) (perp E B A C)) (coll E A C)) (perp F C A B))
% 16.87/17.10 (coll F A B))
% 16.87/17.10 (perp G F B C))
% 16.87/17.10 (coll G B C))
% 16.87/17.10 (perp H F A C))
% 16.87/17.10 (coll H A C))
% 16.87/17.10 (perp K E A B))
% 16.87/17.10 (coll K A B))
% 16.87/17.10 (perp I D A B))
% 16.87/17.10 (coll I A B) →
% 16.87/17.10 cyclic H K I G))
% 16.87/17.10 True
% 16.87/17.10 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True
% 16.87/17.10 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True
% 16.87/17.10 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
% 16.87/17.10 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)
% 16.87/17.10 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True
% 16.87/17.10 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True
% 16.87/17.10 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
% 16.87/17.10 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)
% 16.87/17.10 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True
% 16.87/17.10 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True
% 16.87/17.10 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
% 16.94/17.13 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)
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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)
% 16.94/17.13 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))
% 16.94/17.13 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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)
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 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
% 16.94/17.13 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota),
% 16.94/17.13 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)
% 16.94/17.13 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota),
% 16.94/17.13 Or (Eq (cyclic a a_1 a_2 a_3) True)
% 16.94/17.13 (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))
% 16.94/17.13 Clause #170 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic B a C D) True
% 16.94/17.13 Clause #171 (by clausification #[170]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a_1 a C D) True
% 16.94/17.13 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a_1 a a_2 D) True
% 16.94/17.13 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a_1 a a_2 a_3) True
% 16.94/17.13 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a_1 a a_2 a_3) True)
% 16.94/17.13 Clause #175 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a C B D) True
% 16.94/17.13 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a C a_1 D) True
% 16.94/17.13 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_2 a_1 D) True
% 16.94/17.13 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_2 a_1 a_3) True
% 16.94/17.13 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_2 a_1 a_3) True)
% 16.94/17.13 Clause #180 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a B D C) True
% 16.94/17.13 Clause #181 (by clausification #[180]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a a_1 D C) True
% 16.94/17.15 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_1 D a_2) True
% 16.94/17.15 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_1 a_3 a_2) True
% 16.94/17.15 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_1 a_3 a_2) True)
% 16.94/17.15 Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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)
% 16.94/17.15 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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)
% 16.94/17.15 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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)
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 16.94/17.15 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)
% 16.94/17.15 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 16.94/17.15 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))
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.15 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
% 16.94/17.18 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
% 16.94/17.18 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 16.94/17.18 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)
% 16.94/17.18 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 16.94/17.18 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))
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 16.94/17.18 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
% 16.94/17.18 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 16.94/17.18 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
% 16.94/17.18 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 16.94/17.18 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
% 16.94/17.18 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.18 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
% 16.94/17.18 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.18 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)
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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)
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 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
% 16.94/17.18 Clause #393 (by clausification #[392]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 16.94/17.18 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
% 16.94/17.18 Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 16.94/17.18 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
% 16.94/17.21 Clause #395 (by clausification #[394]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #396 (by clausification #[395]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #397 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.21 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)
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.21 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)
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.21 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
% 16.94/17.21 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 16.94/17.21 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)
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.21 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
% 16.94/17.23 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
% 16.94/17.23 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
% 16.94/17.23 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)
% 16.94/17.23 Clause #630 (by clausification #[94]): Eq
% 16.94/17.23 (∀ (A B C D E F G H K I : Iota),
% 16.94/17.23 And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And (And (And (And (perp D A B C) (coll D B C)) (perp E B A C)) (coll E A C)) (perp F C A B))
% 16.94/17.23 (coll F A B))
% 16.94/17.23 (perp G F B C))
% 16.94/17.23 (coll G B C))
% 16.94/17.23 (perp H F A C))
% 16.94/17.23 (coll H A C))
% 16.94/17.23 (perp K E A B))
% 16.94/17.23 (coll K A B))
% 16.94/17.23 (perp I D A B))
% 16.94/17.23 (coll I A B) →
% 16.94/17.23 cyclic H K I G)
% 16.94/17.23 False
% 16.94/17.23 Clause #631 (by clausification #[630]): ∀ (a : Iota),
% 16.94/17.23 Eq
% 16.94/17.23 (Not
% 16.94/17.23 (∀ (B C D E F G H K I : Iota),
% 16.94/17.23 And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And (And (And (perp D (skS.0 5 a) B C) (coll D B C)) (perp E B (skS.0 5 a) C))
% 16.94/17.23 (coll E (skS.0 5 a) C))
% 16.94/17.23 (perp F C (skS.0 5 a) B))
% 16.94/17.23 (coll F (skS.0 5 a) B))
% 16.94/17.23 (perp G F B C))
% 16.94/17.23 (coll G B C))
% 16.94/17.23 (perp H F (skS.0 5 a) C))
% 16.94/17.23 (coll H (skS.0 5 a) C))
% 16.94/17.23 (perp K E (skS.0 5 a) B))
% 16.94/17.23 (coll K (skS.0 5 a) B))
% 16.94/17.23 (perp I D (skS.0 5 a) B))
% 16.94/17.23 (coll I (skS.0 5 a) B) →
% 16.94/17.23 cyclic H K I G))
% 16.94/17.23 True
% 16.94/17.23 Clause #632 (by clausification #[631]): ∀ (a : Iota),
% 16.94/17.23 Eq
% 16.94/17.23 (∀ (B C D E F G H K I : Iota),
% 16.94/17.23 And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And (And (And (perp D (skS.0 5 a) B C) (coll D B C)) (perp E B (skS.0 5 a) C))
% 16.94/17.23 (coll E (skS.0 5 a) C))
% 16.94/17.23 (perp F C (skS.0 5 a) B))
% 16.94/17.23 (coll F (skS.0 5 a) B))
% 16.94/17.23 (perp G F B C))
% 16.94/17.23 (coll G B C))
% 16.94/17.23 (perp H F (skS.0 5 a) C))
% 16.94/17.23 (coll H (skS.0 5 a) C))
% 16.94/17.23 (perp K E (skS.0 5 a) B))
% 16.94/17.23 (coll K (skS.0 5 a) B))
% 16.94/17.23 (perp I D (skS.0 5 a) B))
% 16.94/17.23 (coll I (skS.0 5 a) B) →
% 16.94/17.23 cyclic H K I G)
% 16.94/17.23 False
% 16.94/17.23 Clause #633 (by clausification #[632]): ∀ (a a_1 : Iota),
% 16.94/17.23 Eq
% 16.94/17.23 (Not
% 16.94/17.23 (∀ (C D E F G H K I : Iota),
% 16.94/17.23 And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And
% 16.94/17.23 (And (And (perp D (skS.0 5 a) (skS.0 6 a a_1) C) (coll D (skS.0 6 a a_1) C))
% 16.94/17.23 (perp E (skS.0 6 a a_1) (skS.0 5 a) C))
% 16.94/17.23 (coll E (skS.0 5 a) C))
% 16.94/17.23 (perp F C (skS.0 5 a) (skS.0 6 a a_1)))
% 16.94/17.23 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 16.94/17.23 (perp G F (skS.0 6 a a_1) C))
% 16.94/17.23 (coll G (skS.0 6 a a_1) C))
% 16.94/17.23 (perp H F (skS.0 5 a) C))
% 17.03/17.25 (coll H (skS.0 5 a) C))
% 17.03/17.25 (perp K E (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (perp I D (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.25 cyclic H K I G))
% 17.03/17.25 True
% 17.03/17.25 Clause #634 (by clausification #[633]): ∀ (a a_1 : Iota),
% 17.03/17.25 Eq
% 17.03/17.25 (∀ (C D E F G H K I : Iota),
% 17.03/17.25 And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And (And (perp D (skS.0 5 a) (skS.0 6 a a_1) C) (coll D (skS.0 6 a a_1) C))
% 17.03/17.25 (perp E (skS.0 6 a a_1) (skS.0 5 a) C))
% 17.03/17.25 (coll E (skS.0 5 a) C))
% 17.03/17.25 (perp F C (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (perp G F (skS.0 6 a a_1) C))
% 17.03/17.25 (coll G (skS.0 6 a a_1) C))
% 17.03/17.25 (perp H F (skS.0 5 a) C))
% 17.03/17.25 (coll H (skS.0 5 a) C))
% 17.03/17.25 (perp K E (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (perp I D (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.25 cyclic H K I G)
% 17.03/17.25 False
% 17.03/17.25 Clause #635 (by clausification #[634]): ∀ (a a_1 a_2 : Iota),
% 17.03/17.25 Eq
% 17.03/17.25 (Not
% 17.03/17.25 (∀ (D E F G H K I : Iota),
% 17.03/17.25 And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And (perp D (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.25 (coll D (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp K E (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (perp I D (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.25 cyclic H K I G))
% 17.03/17.25 True
% 17.03/17.25 Clause #636 (by clausification #[635]): ∀ (a a_1 a_2 : Iota),
% 17.03/17.25 Eq
% 17.03/17.25 (∀ (D E F G H K I : Iota),
% 17.03/17.25 And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And
% 17.03/17.25 (And (perp D (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.25 (coll D (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.25 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.25 (perp K E (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (perp I D (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.27 cyclic H K I G)
% 17.03/17.27 False
% 17.03/17.27 Clause #637 (by clausification #[636]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.03/17.27 Eq
% 17.03/17.27 (Not
% 17.03/17.27 (∀ (E F G H K I : Iota),
% 17.03/17.27 And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.27 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp K E (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.27 cyclic H K I G))
% 17.03/17.27 True
% 17.03/17.27 Clause #638 (by clausification #[637]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.03/17.27 Eq
% 17.03/17.27 (∀ (E F G H K I : Iota),
% 17.03/17.27 And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.27 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp K E (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.27 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.27 cyclic H K I G)
% 17.03/17.27 False
% 17.03/17.27 Clause #639 (by clausification #[638]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 17.03/17.27 Eq
% 17.03/17.27 (Not
% 17.03/17.27 (∀ (F G H K I : Iota),
% 17.03/17.27 And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And
% 17.03/17.27 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.27 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.27 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.30 cyclic H K I G))
% 17.03/17.30 True
% 17.03/17.30 Clause #640 (by clausification #[639]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 17.03/17.30 Eq
% 17.03/17.30 (∀ (F G H K I : Iota),
% 17.03/17.30 And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.30 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll F (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.30 cyclic H K I G)
% 17.03/17.30 False
% 17.03/17.30 Clause #641 (by clausification #[640]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 17.03/17.30 Eq
% 17.03/17.30 (Not
% 17.03/17.30 (∀ (G H K I : Iota),
% 17.03/17.30 And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.30 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (perp G (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.30 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.30 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.30 cyclic H K I G))
% 17.03/17.30 True
% 17.03/17.30 Clause #642 (by clausification #[641]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 17.03/17.30 Eq
% 17.03/17.30 (∀ (G H K I : Iota),
% 17.03/17.30 And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.30 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.32 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (perp G (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.32 cyclic H K I G)
% 17.03/17.32 False
% 17.03/17.32 Clause #643 (by clausification #[642]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 17.03/17.32 Eq
% 17.03/17.32 (Not
% 17.03/17.32 (∀ (H K I : Iota),
% 17.03/17.32 And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.32 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.03/17.32 (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.03/17.32 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.03/17.32 cyclic H K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 17.03/17.32 True
% 17.03/17.32 Clause #644 (by clausification #[643]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 17.03/17.32 Eq
% 17.03/17.32 (∀ (H K I : Iota),
% 17.03/17.32 And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And
% 17.03/17.32 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.03/17.32 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.03/17.32 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.18/17.34 (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.18/17.34 cyclic H K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))
% 17.18/17.34 False
% 17.18/17.34 Clause #645 (by clausification #[644]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 17.18/17.34 Eq
% 17.18/17.34 (Not
% 17.18/17.34 (∀ (K I : Iota),
% 17.18/17.34 And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.18/17.34 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.18/17.34 (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.18/17.34 (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.18/17.34 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 17.18/17.34 True
% 17.18/17.34 Clause #646 (by clausification #[645]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 17.18/17.34 Eq
% 17.18/17.34 (∀ (K I : Iota),
% 17.18/17.34 And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And
% 17.18/17.34 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.18/17.34 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.34 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.34 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.18/17.37 (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.18/17.37 (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (coll K (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.18/17.37 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))
% 17.18/17.37 False
% 17.18/17.37 Clause #647 (by clausification #[646]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 17.18/17.37 Eq
% 17.18/17.37 (Not
% 17.18/17.37 (∀ (I : Iota),
% 17.18/17.37 And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.18/17.37 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.18/17.37 (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.18/17.37 (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a)
% 17.18/17.37 (skS.0 6 a a_1)))
% 17.18/17.37 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.18/17.37 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) I
% 17.18/17.37 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 17.18/17.37 True
% 17.18/17.37 Clause #648 (by clausification #[647]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 17.18/17.37 Eq
% 17.18/17.37 (∀ (I : Iota),
% 17.18/17.37 And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And
% 17.18/17.37 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.18/17.37 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.18/17.37 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.18/17.37 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.21/17.39 (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.21/17.39 (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a)
% 17.21/17.39 (skS.0 6 a a_1)))
% 17.21/17.39 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.39 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.39 (coll I (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.21/17.39 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) I
% 17.21/17.39 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))
% 17.21/17.39 False
% 17.21/17.39 Clause #649 (by clausification #[648]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.21/17.39 Eq
% 17.21/17.39 (Not
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.21/17.39 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.39 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.39 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.21/17.39 (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.21/17.39 (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a)
% 17.21/17.39 (skS.0 6 a a_1)))
% 17.21/17.39 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.39 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.39 (coll (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.21/17.39 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 17.21/17.39 (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 17.21/17.39 True
% 17.21/17.39 Clause #650 (by clausification #[649]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.21/17.39 Eq
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And
% 17.21/17.39 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.21/17.39 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.39 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.21/17.42 (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.21/17.42 (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a)
% 17.21/17.42 (skS.0 6 a a_1)))
% 17.21/17.42 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (coll (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 5 a) (skS.0 6 a a_1)) →
% 17.21/17.42 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 17.21/17.42 (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))
% 17.21/17.42 False
% 17.21/17.42 Clause #651 (by clausification #[650]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.21/17.42 Eq
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.21/17.42 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.21/17.42 (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.21/17.42 (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 (coll (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.21/17.42 True
% 17.21/17.42 Clause #652 (by clausification #[650]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.21/17.42 Eq
% 17.21/17.42 (cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 17.21/17.42 (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))
% 17.21/17.42 False
% 17.21/17.42 Clause #654 (by clausification #[651]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.21/17.42 Eq
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And
% 17.21/17.42 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))
% 17.21/17.42 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.21/17.42 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.27/17.44 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.27/17.44 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.27/17.44 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1)
% 17.27/17.44 (skS.0 7 a a_1 a_2)))
% 17.27/17.44 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)))
% 17.27/17.44 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a)
% 17.27/17.44 (skS.0 7 a a_1 a_2)))
% 17.27/17.44 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2)))
% 17.27/17.44 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.27/17.44 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.27/17.44 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)))
% 17.27/17.44 True
% 17.27/17.44 Clause #885 (by clausification #[654]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.27/17.44 Eq (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)) True
% 17.27/17.44 Clause #887 (by superposition #[885, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.27/17.44 Or (Eq True False)
% 17.27/17.44 (Eq (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 5 a))
% 17.27/17.44 True)
% 17.27/17.44 Clause #888 (by superposition #[885, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.27/17.44 Or (Eq True False)
% 17.27/17.44 (Eq (perp (skS.0 5 a) (skS.0 6 a a_1) (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3))
% 17.27/17.44 True)
% 17.27/17.44 Clause #1390 (by clausification #[888]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.27/17.44 Eq (perp (skS.0 5 a) (skS.0 6 a a_1) (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3)) True
% 17.27/17.44 Clause #1393 (by superposition #[1390, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 17.27/17.44 Or (Eq (para (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True)
% 17.27/17.44 (Or (Eq True False)
% 17.27/17.44 (Eq (perp (skS.0 14 a a_1 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11) (skS.0 8 a a_1 a_4 a_5) a_2 a_3) False))
% 17.27/17.44 Clause #1466 (by clausification #[887]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 17.27/17.44 Eq (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 5 a)) True
% 17.27/17.44 Clause #1541 (by clausification #[1393]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 17.27/17.44 Or (Eq (para (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True)
% 17.27/17.44 (Eq (perp (skS.0 14 a a_1 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11) (skS.0 8 a a_1 a_4 a_5) a_2 a_3) False)
% 17.27/17.44 Clause #1543 (by superposition #[1541, 1466]): ∀ (a a_1 : Iota), Or (Eq (para (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a)) True) (Eq False True)
% 17.27/17.44 Clause #1544 (by clausification #[1543]): ∀ (a a_1 : Iota), Eq (para (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a)) True
% 17.27/17.44 Clause #1548 (by superposition #[1544, 189]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1)) True)
% 17.27/17.44 Clause #1554 (by clausification #[1548]): ∀ (a a_1 : Iota), Eq (para (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1)) True
% 17.27/17.44 Clause #1561 (by superposition #[1554, 610]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.27/17.44 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True)
% 17.27/17.44 Clause #1573 (by clausification #[1561]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True
% 17.27/17.44 Clause #1575 (by superposition #[1573, 496]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.27/17.44 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_2 a_3) True)
% 17.27/17.44 Clause #1577 (by clausification #[1575]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_2 a_3) True
% 17.27/17.44 Clause #1580 (by superposition #[1577, 441]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True)
% 17.29/17.47 Clause #1585 (by clausification #[1580]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True
% 17.29/17.47 Clause #1587 (by superposition #[1585, 397]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle a a_1 a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True)
% 17.29/17.47 Clause #1592 (by clausification #[1587]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True
% 17.29/17.47 Clause #1596 (by superposition #[1592, 496]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True)
% 17.29/17.47 Clause #1599 (by clausification #[1596]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True
% 17.29/17.47 Clause #1600 (by superposition #[1599, 352]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True)
% 17.29/17.47 Clause #1605 (by clausification #[1600]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True
% 17.29/17.47 Clause #1609 (by superposition #[1605, 441]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True)
% 17.29/17.47 Clause #1614 (by clausification #[1609]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True
% 17.29/17.47 Clause #1617 (by superposition #[1614, 397]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_3 a_2) True)
% 17.29/17.47 Clause #1622 (by clausification #[1617]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_3 a_2) True
% 17.29/17.47 Clause #1625 (by superposition #[1622, 496]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_3 a_2) True)
% 17.29/17.47 Clause #1628 (by clausification #[1625]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_3 a_2) True
% 17.29/17.47 Clause #1630 (by superposition #[1628, 397]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True)
% 17.29/17.47 Clause #1635 (by clausification #[1630]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True
% 17.29/17.47 Clause #1636 (by superposition #[1635, 352]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True)
% 17.29/17.47 Clause #1644 (by clausification #[1636]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True
% 17.29/17.47 Clause #1651 (by superposition #[1644, 496]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 6 a a_1) (skS.0 5 a) a_3 a_2) True)
% 17.29/17.47 Clause #1656 (by clausification #[1651]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 6 a a_1) (skS.0 5 a) a_3 a_2) True
% 17.29/17.47 Clause #1661 (by superposition #[1656, 397]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.47 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True)
% 17.29/17.47 Clause #1668 (by clausification #[1661]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True
% 17.29/17.47 Clause #1673 (by superposition #[1668, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True)
% 17.29/17.47 Clause #1681 (by clausification #[1673]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True
% 17.29/17.47 Clause #1691 (by superposition #[1681, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True)
% 17.29/17.51 Clause #1718 (by clausification #[1691]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True
% 17.29/17.51 Clause #1719 (by superposition #[1718, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True)
% 17.29/17.51 Clause #1723 (by superposition #[1718, 610]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True)
% 17.29/17.51 Clause #1724 (by clausification #[1719]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True
% 17.29/17.51 Clause #1735 (by superposition #[1724, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True)
% 17.29/17.51 Clause #1744 (by clausification #[1735]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True
% 17.29/17.51 Clause #1759 (by superposition #[1744, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True)
% 17.29/17.51 Clause #1768 (by clausification #[1759]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True
% 17.29/17.51 Clause #1784 (by superposition #[1768, 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))
% 17.29/17.51 Clause #1792 (by clausification #[1784]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 17.29/17.51 Clause #1798 (by superposition #[1792, 1768]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True)
% 17.29/17.51 Clause #1801 (by clausification #[1798]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True
% 17.29/17.51 Clause #1822 (by backward demodulation #[1801, 162]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.29/17.51 Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False) (Eq True False))
% 17.29/17.51 Clause #1891 (by clausification #[1723]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True
% 17.29/17.51 Clause #1937 (by clausification #[1822]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False)
% 17.29/17.51 Clause #1944 (by superposition #[1937, 1891]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq False True)
% 17.29/17.51 Clause #1945 (by clausification #[1944]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_2) True
% 17.29/17.51 Clause #1947 (by superposition #[1945, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_1) True)
% 17.29/17.51 Clause #1956 (by clausification #[1947]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_1) True
% 17.29/17.51 Clause #1958 (by superposition #[1956, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_1 a_2) True)
% 17.29/17.51 Clause #1963 (by clausification #[1958]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_1 a_2) True
% 17.29/17.51 Clause #1964 (by superposition #[1963, 174]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a a_2) True)
% 17.29/17.51 Clause #1969 (by clausification #[1964]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a a_2) True
% 17.29/17.51 Clause #1972 (by superposition #[1969, 290]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cyclic a_1 a a_1 a_3) False))
% 17.29/17.51 Clause #2246 (by clausification #[1972]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a_1 a a_1 a_3) False)
% 17.29/17.51 Clause #2247 (by superposition #[2246, 1969]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True)
% 17.29/17.51 Clause #2248 (by clausification #[2247]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True
% 17.29/17.51 Clause #2255 (by superposition #[2248, 652]): Eq True False
% 17.29/17.51 Clause #2257 (by clausification #[2255]): False
% 17.29/17.51 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------