TSTP Solution File: GEO585+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 22:56:45 EDT 2023
% Result : Theorem 9.69s 9.88s
% Output : Proof 9.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n027.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
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 20:27:23 EDT 2023
% 0.13/0.36 % CPUTime :
% 9.69/9.88 SZS status Theorem for theBenchmark.p
% 9.69/9.88 SZS output start Proof for theBenchmark.p
% 9.69/9.88 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True
% 9.69/9.88 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True
% 9.69/9.88 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True
% 9.69/9.88 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True
% 9.69/9.88 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True
% 9.69/9.88 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True
% 9.69/9.88 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
% 9.69/9.88 Clause #13 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A B D C) True
% 9.69/9.88 Clause #14 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A C B D) True
% 9.69/9.88 Clause #15 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic B A C D) True
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True
% 9.69/9.88 Clause #94 (by assumption #[]): Eq
% 9.69/9.88 (Not
% 9.69/9.88 (∀ (A B C O D U V NWPNT1 : Iota),
% 9.69/9.88 And
% 9.69/9.88 (And
% 9.69/9.88 (And
% 9.69/9.88 (And (And (And (And (circle O A B C) (circle O A D NWPNT1)) (perp A B D U)) (perp A D B U))
% 9.69/9.88 (perp B D A U))
% 9.69/9.88 (perp A C D V))
% 9.69/9.88 (perp A D C V))
% 9.69/9.88 (perp C D A V) →
% 9.69/9.88 cyclic A U D V))
% 9.69/9.88 True
% 9.69/9.88 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True
% 9.69/9.88 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True
% 9.69/9.88 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
% 9.69/9.88 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)
% 9.69/9.88 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True
% 9.69/9.88 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True
% 9.69/9.88 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
% 9.69/9.88 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)
% 9.69/9.88 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True
% 9.69/9.88 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True
% 9.69/9.88 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
% 9.69/9.88 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)
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.88 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
% 9.69/9.91 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
% 9.69/9.91 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)
% 9.69/9.91 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))
% 9.69/9.91 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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)
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.69/9.91 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)
% 9.69/9.91 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.69/9.91 Or (Eq (cyclic a a_1 a_2 a_3) True)
% 9.69/9.91 (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))
% 9.69/9.91 Clause #170 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic B a C D) True
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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)
% 9.69/9.91 Clause #175 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a C B D) True
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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)
% 9.69/9.91 Clause #180 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a B D C) True
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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
% 9.69/9.91 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)
% 9.69/9.91 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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)
% 9.69/9.93 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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)
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.69/9.93 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)
% 9.69/9.93 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.69/9.93 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))
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.69/9.93 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)
% 9.69/9.93 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.69/9.93 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))
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.69/9.93 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
% 9.79/9.95 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.79/9.95 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)
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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)
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.79/9.95 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
% 9.79/9.95 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.79/9.95 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)
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.95 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
% 9.79/9.98 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.79/9.98 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
% 9.79/9.98 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.79/9.98 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
% 9.79/9.98 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.79/9.98 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
% 9.79/9.98 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.79/9.98 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
% 9.79/9.98 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.79/9.98 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)
% 9.79/9.98 Clause #547 (by clausification #[94]): Eq
% 9.79/9.98 (∀ (A B C O D U V NWPNT1 : Iota),
% 9.79/9.98 And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And (And (And (And (circle O A B C) (circle O A D NWPNT1)) (perp A B D U)) (perp A D B U)) (perp B D A U))
% 9.79/9.98 (perp A C D V))
% 9.79/9.98 (perp A D C V))
% 9.79/9.98 (perp C D A V) →
% 9.79/9.98 cyclic A U D V)
% 9.79/9.98 False
% 9.79/9.98 Clause #548 (by clausification #[547]): ∀ (a : Iota),
% 9.79/9.98 Eq
% 9.79/9.98 (Not
% 9.79/9.98 (∀ (B C O D U V NWPNT1 : Iota),
% 9.79/9.98 And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And (And (And (circle O (skS.0 4 a) B C) (circle O (skS.0 4 a) D NWPNT1)) (perp (skS.0 4 a) B D U))
% 9.79/9.98 (perp (skS.0 4 a) D B U))
% 9.79/9.98 (perp B D (skS.0 4 a) U))
% 9.79/9.98 (perp (skS.0 4 a) C D V))
% 9.79/9.98 (perp (skS.0 4 a) D C V))
% 9.79/9.98 (perp C D (skS.0 4 a) V) →
% 9.79/9.98 cyclic (skS.0 4 a) U D V))
% 9.79/9.98 True
% 9.79/9.98 Clause #549 (by clausification #[548]): ∀ (a : Iota),
% 9.79/9.98 Eq
% 9.79/9.98 (∀ (B C O D U V NWPNT1 : Iota),
% 9.79/9.98 And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And (And (And (circle O (skS.0 4 a) B C) (circle O (skS.0 4 a) D NWPNT1)) (perp (skS.0 4 a) B D U))
% 9.79/9.98 (perp (skS.0 4 a) D B U))
% 9.79/9.98 (perp B D (skS.0 4 a) U))
% 9.79/9.98 (perp (skS.0 4 a) C D V))
% 9.79/9.98 (perp (skS.0 4 a) D C V))
% 9.79/9.98 (perp C D (skS.0 4 a) V) →
% 9.79/9.98 cyclic (skS.0 4 a) U D V)
% 9.79/9.98 False
% 9.79/9.98 Clause #550 (by clausification #[549]): ∀ (a a_1 : Iota),
% 9.79/9.98 Eq
% 9.79/9.98 (Not
% 9.79/9.98 (∀ (C O D U V NWPNT1 : Iota),
% 9.79/9.98 And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) C) (circle O (skS.0 4 a) D NWPNT1))
% 9.79/9.98 (perp (skS.0 4 a) (skS.0 5 a a_1) D U))
% 9.79/9.98 (perp (skS.0 4 a) D (skS.0 5 a a_1) U))
% 9.79/9.98 (perp (skS.0 5 a a_1) D (skS.0 4 a) U))
% 9.79/9.98 (perp (skS.0 4 a) C D V))
% 9.79/9.98 (perp (skS.0 4 a) D C V))
% 9.79/9.98 (perp C D (skS.0 4 a) V) →
% 9.79/9.98 cyclic (skS.0 4 a) U D V))
% 9.79/9.98 True
% 9.79/9.98 Clause #551 (by clausification #[550]): ∀ (a a_1 : Iota),
% 9.79/9.98 Eq
% 9.79/9.98 (∀ (C O D U V NWPNT1 : Iota),
% 9.79/9.98 And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) C) (circle O (skS.0 4 a) D NWPNT1))
% 9.79/9.98 (perp (skS.0 4 a) (skS.0 5 a a_1) D U))
% 9.79/9.98 (perp (skS.0 4 a) D (skS.0 5 a a_1) U))
% 9.79/9.98 (perp (skS.0 5 a a_1) D (skS.0 4 a) U))
% 9.79/9.98 (perp (skS.0 4 a) C D V))
% 9.79/9.98 (perp (skS.0 4 a) D C V))
% 9.79/9.98 (perp C D (skS.0 4 a) V) →
% 9.79/9.98 cyclic (skS.0 4 a) U D V)
% 9.79/9.98 False
% 9.79/9.98 Clause #552 (by clausification #[551]): ∀ (a a_1 a_2 : Iota),
% 9.79/9.98 Eq
% 9.79/9.98 (Not
% 9.79/9.98 (∀ (O D U V NWPNT1 : Iota),
% 9.79/9.98 And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And
% 9.79/9.98 (And (circle O (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) (circle O (skS.0 4 a) D NWPNT1))
% 9.79/9.98 (perp (skS.0 4 a) (skS.0 5 a a_1) D U))
% 9.79/9.98 (perp (skS.0 4 a) D (skS.0 5 a a_1) U))
% 9.84/10.00 (perp (skS.0 5 a a_1) D (skS.0 4 a) U))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V))
% 9.84/10.00 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) →
% 9.84/10.00 cyclic (skS.0 4 a) U D V))
% 9.84/10.00 True
% 9.84/10.00 Clause #553 (by clausification #[552]): ∀ (a a_1 a_2 : Iota),
% 9.84/10.00 Eq
% 9.84/10.00 (∀ (O D U V NWPNT1 : Iota),
% 9.84/10.00 And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) (circle O (skS.0 4 a) D NWPNT1))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 5 a a_1) D U))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 5 a a_1) U))
% 9.84/10.00 (perp (skS.0 5 a a_1) D (skS.0 4 a) U))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V))
% 9.84/10.00 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) →
% 9.84/10.00 cyclic (skS.0 4 a) U D V)
% 9.84/10.00 False
% 9.84/10.00 Clause #554 (by clausification #[553]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.84/10.00 Eq
% 9.84/10.00 (Not
% 9.84/10.00 (∀ (D U V NWPNT1 : Iota),
% 9.84/10.00 And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.00 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) D NWPNT1))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 5 a a_1) D U))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 5 a a_1) U))
% 9.84/10.00 (perp (skS.0 5 a a_1) D (skS.0 4 a) U))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V))
% 9.84/10.00 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) →
% 9.84/10.00 cyclic (skS.0 4 a) U D V))
% 9.84/10.00 True
% 9.84/10.00 Clause #555 (by clausification #[554]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.84/10.00 Eq
% 9.84/10.00 (∀ (D U V NWPNT1 : Iota),
% 9.84/10.00 And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.00 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) D NWPNT1))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 5 a a_1) D U))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 5 a a_1) U))
% 9.84/10.00 (perp (skS.0 5 a a_1) D (skS.0 4 a) U))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V))
% 9.84/10.00 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V))
% 9.84/10.00 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) →
% 9.84/10.00 cyclic (skS.0 4 a) U D V)
% 9.84/10.00 False
% 9.84/10.00 Clause #556 (by clausification #[555]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.84/10.00 Eq
% 9.84/10.00 (Not
% 9.84/10.00 (∀ (U V NWPNT1 : Iota),
% 9.84/10.00 And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.00 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) U))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) U))
% 9.84/10.00 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) U))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V))
% 9.84/10.00 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) →
% 9.84/10.00 cyclic (skS.0 4 a) U (skS.0 8 a a_1 a_2 a_3 a_4) V))
% 9.84/10.00 True
% 9.84/10.00 Clause #557 (by clausification #[556]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.84/10.00 Eq
% 9.84/10.00 (∀ (U V NWPNT1 : Iota),
% 9.84/10.00 And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And
% 9.84/10.00 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.00 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1))
% 9.84/10.00 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) U))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) U))
% 9.84/10.02 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) U))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V))
% 9.84/10.02 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) →
% 9.84/10.02 cyclic (skS.0 4 a) U (skS.0 8 a a_1 a_2 a_3 a_4) V)
% 9.84/10.02 False
% 9.84/10.02 Clause #558 (by clausification #[557]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.84/10.02 Eq
% 9.84/10.02 (Not
% 9.84/10.02 (∀ (V NWPNT1 : Iota),
% 9.84/10.02 And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.02 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V))
% 9.84/10.02 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) →
% 9.84/10.02 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) V))
% 9.84/10.02 True
% 9.84/10.02 Clause #559 (by clausification #[558]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 9.84/10.02 Eq
% 9.84/10.02 (∀ (V NWPNT1 : Iota),
% 9.84/10.02 And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.02 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V))
% 9.84/10.02 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) →
% 9.84/10.02 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) V)
% 9.84/10.02 False
% 9.84/10.02 Clause #560 (by clausification #[559]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.84/10.02 Eq
% 9.84/10.02 (Not
% 9.84/10.02 (∀ (NWPNT1 : Iota),
% 9.84/10.02 And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And
% 9.84/10.02 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.84/10.02 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.84/10.02 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.84/10.02 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) →
% 9.84/10.02 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.84/10.02 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 True
% 9.89/10.04 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.04 Eq
% 9.89/10.04 (∀ (NWPNT1 : Iota),
% 9.89/10.04 And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.89/10.04 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) →
% 9.89/10.04 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.04 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.04 False
% 9.89/10.04 Clause #562 (by clausification #[561]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.89/10.04 Eq
% 9.89/10.04 (Not
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.89/10.04 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.04 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) →
% 9.89/10.04 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.04 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 True
% 9.89/10.04 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.89/10.04 Eq
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.89/10.04 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.04 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.04 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) →
% 9.89/10.04 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.04 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.04 False
% 9.89/10.04 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 9.89/10.04 Eq
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And
% 9.89/10.04 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 9.89/10.07 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.07 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)))
% 9.89/10.07 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.07 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.07 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5)))
% 9.89/10.07 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.07 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.07 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 9.89/10.07 True
% 9.89/10.07 Clause #565 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.07 Eq
% 9.89/10.07 (cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.07 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.07 False
% 9.89/10.07 Clause #566 (by clausification #[564]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.07 Eq (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) True
% 9.89/10.07 Clause #569 (by superposition #[566, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.07 Or (Eq True False)
% 9.89/10.07 (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True)
% 9.89/10.07 Clause #570 (by superposition #[566, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 9.89/10.07 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6) True)
% 9.89/10.07 (Or (Eq True False) (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_7 a_8) a_5 a_6) False))
% 9.89/10.07 Clause #629 (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
% 9.89/10.07 Clause #630 (by clausification #[629]): ∀ (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
% 9.89/10.07 Clause #631 (by clausification #[630]): ∀ (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
% 9.89/10.07 Clause #632 (by clausification #[631]): ∀ (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
% 9.89/10.07 Clause #633 (by clausification #[632]): ∀ (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
% 9.89/10.07 Clause #634 (by clausification #[633]): ∀ (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
% 9.89/10.07 Clause #635 (by clausification #[634]): ∀ (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)
% 9.89/10.07 Clause #853 (by clausification #[569]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.07 Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True
% 9.89/10.07 Clause #854 (by superposition #[853, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.07 Or (Eq True False)
% 9.89/10.07 (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True)
% 9.89/10.07 Clause #862 (by clausification #[854]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.07 Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True
% 9.89/10.07 Clause #959 (by clausification #[570]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 9.89/10.07 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6) True)
% 9.89/10.07 (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_7 a_8) a_5 a_6) False)
% 9.89/10.07 Clause #961 (by superposition #[959, 862]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.89/10.07 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True)
% 9.89/10.07 (Eq False True)
% 9.89/10.07 Clause #962 (by clausification #[961]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.89/10.07 Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True
% 9.89/10.07 Clause #964 (by superposition #[962, 156]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.89/10.09 Or (Eq True False)
% 9.89/10.09 (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True)
% 9.89/10.09 Clause #1039 (by clausification #[964]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 9.89/10.09 Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True
% 9.89/10.09 Clause #1044 (by superposition #[1039, 635]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Or (Eq True False)
% 9.89/10.09 (Eq
% 9.89/10.09 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)
% 9.89/10.09 a_5 a_6)
% 9.89/10.09 True)
% 9.89/10.09 Clause #1113 (by clausification #[1044]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Eq
% 9.89/10.09 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5
% 9.89/10.09 a_6)
% 9.89/10.09 True
% 9.89/10.09 Clause #1121 (by superposition #[1113, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Or (Eq True False)
% 9.89/10.09 (Eq
% 9.89/10.09 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6
% 9.89/10.09 a_5 a_6)
% 9.89/10.09 True)
% 9.89/10.09 Clause #1125 (by clausification #[1121]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Eq
% 9.89/10.09 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 a_5
% 9.89/10.09 a_6)
% 9.89/10.09 True
% 9.89/10.09 Clause #1131 (by superposition #[1125, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Or (Eq True False)
% 9.89/10.09 (Eq
% 9.89/10.09 (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4)
% 9.89/10.09 (skS.0 8 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.09 True)
% 9.89/10.09 Clause #1137 (by clausification #[1131]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Eq
% 9.89/10.09 (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4)
% 9.89/10.09 (skS.0 8 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.09 True
% 9.89/10.09 Clause #1141 (by superposition #[1137, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Or (Eq True False)
% 9.89/10.09 (Eq
% 9.89/10.09 (eqangle a a_1 a_1 a (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4)
% 9.89/10.09 (skS.0 8 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.09 True)
% 9.89/10.09 Clause #1148 (by clausification #[1141]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Eq
% 9.89/10.09 (eqangle a a_1 a_1 a (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4)
% 9.89/10.09 (skS.0 8 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.09 True
% 9.89/10.09 Clause #1155 (by superposition #[1148, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Or (Eq True False)
% 9.89/10.09 (Eq
% 9.89/10.09 (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) a_1 a (skS.0 6 a_2 a_3 a_4)
% 9.89/10.09 (skS.0 8 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.09 True)
% 9.89/10.09 Clause #1161 (by clausification #[1155]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 9.89/10.09 Eq
% 9.89/10.09 (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) a_1 a (skS.0 6 a_2 a_3 a_4)
% 9.89/10.09 (skS.0 8 a_2 a_3 a_4 a_5 a_6))
% 9.89/10.09 True
% 9.89/10.09 Clause #1165 (by superposition #[1161, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True)
% 9.89/10.09 Clause #1174 (by clausification #[1165]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True
% 9.89/10.09 Clause #1177 (by superposition #[1174, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True)
% 9.89/10.09 Clause #1191 (by clausification #[1177]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True
% 9.89/10.09 Clause #1192 (by superposition #[1191, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True)
% 9.89/10.09 Clause #1196 (by superposition #[1191, 635]): ∀ (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)
% 9.89/10.09 Clause #1197 (by clausification #[1192]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True
% 9.89/10.09 Clause #1198 (by superposition #[1197, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True)
% 9.89/10.09 Clause #1225 (by clausification #[1198]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True
% 9.89/10.09 Clause #1227 (by superposition #[1225, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True)
% 9.89/10.09 Clause #1236 (by clausification #[1227]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True
% 9.89/10.09 Clause #1238 (by superposition #[1236, 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))
% 9.94/10.11 Clause #1346 (by clausification #[1196]): ∀ (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
% 9.94/10.11 Clause #1347 (by superposition #[1346, 162]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False))
% 9.94/10.11 Clause #1361 (by clausification #[1238]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 9.94/10.11 Clause #1363 (by superposition #[1361, 1236]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True)
% 9.94/10.11 Clause #1364 (by clausification #[1363]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True
% 9.94/10.11 Clause #1388 (by clausification #[1347]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 9.94/10.11 Clause #1389 (by forward demodulation #[1388, 1364]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq True False)
% 9.94/10.11 Clause #1390 (by clausification #[1389]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_2) True
% 9.94/10.11 Clause #1392 (by superposition #[1390, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_1) True)
% 9.94/10.11 Clause #1397 (by clausification #[1392]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_1) True
% 9.94/10.11 Clause #1399 (by superposition #[1397, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_1 a_2) True)
% 9.94/10.11 Clause #1404 (by clausification #[1399]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_1 a_2) True
% 9.94/10.11 Clause #1405 (by superposition #[1404, 174]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a a_2) True)
% 9.94/10.11 Clause #1410 (by clausification #[1405]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a a_2) True
% 9.94/10.11 Clause #1411 (by superposition #[1410, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a a_1 a_2) True)
% 9.94/10.11 Clause #1416 (by clausification #[1411]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True
% 9.94/10.11 Clause #1418 (by superposition #[1416, 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))
% 9.94/10.11 Clause #1665 (by clausification #[1418]): ∀ (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)
% 9.94/10.11 Clause #1669 (by superposition #[1665, 1416]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True)
% 9.94/10.11 Clause #1670 (by clausification #[1669]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True
% 9.94/10.11 Clause #1676 (by superposition #[1670, 565]): Eq True False
% 9.94/10.11 Clause #1678 (by clausification #[1676]): False
% 9.94/10.11 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------