TSTP Solution File: GEO557+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 18.73s 18.90s
% Output : Proof 19.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.13 % Command : duper %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 22:37:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 18.73/18.90 SZS status Theorem for theBenchmark.p
% 18.73/18.90 SZS output start Proof for theBenchmark.p
% 18.73/18.90 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True
% 18.73/18.90 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True
% 18.73/18.90 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True
% 18.73/18.90 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True
% 18.73/18.90 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True
% 18.73/18.90 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True
% 18.73/18.90 Clause #86 (by assumption #[]): Eq (∀ (A B C O : Iota), Exists fun P => circle O A B C → perp P A A O) True
% 18.73/18.90 Clause #94 (by assumption #[]): Eq
% 18.73/18.90 (Not
% 18.73/18.90 (∀ (A C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.73/18.90 And
% 18.73/18.90 (And
% 18.73/18.90 (And
% 18.73/18.90 (And (And (And (And (circle O A C K) (circle O A N NWPNT1)) (coll B A K)) (coll B C N)) (circle G A C B))
% 18.73/18.90 (circle O1 K N B))
% 18.73/18.90 (circle G A M NWPNT2))
% 18.73/18.90 (circle O1 K M NWPNT3) →
% 18.73/18.90 cyclic M K O C))
% 18.73/18.90 True
% 18.73/18.90 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True
% 18.73/18.90 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True
% 18.73/18.90 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
% 18.73/18.90 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)
% 18.73/18.90 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True
% 18.73/18.90 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True
% 18.73/18.90 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
% 18.73/18.90 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)
% 18.73/18.90 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True
% 18.73/18.90 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True
% 18.73/18.90 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
% 18.73/18.90 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)
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.90 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
% 18.73/18.93 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)
% 18.73/18.93 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))
% 18.73/18.93 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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)
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota),
% 18.73/18.93 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)
% 18.73/18.93 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota),
% 18.73/18.93 Or (Eq (cyclic a a_1 a_2 a_3) True)
% 18.73/18.93 (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))
% 18.73/18.93 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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)
% 18.73/18.93 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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)
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 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
% 18.73/18.93 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.73/18.93 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)
% 18.73/18.95 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.73/18.95 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))
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.73/18.95 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)
% 18.73/18.95 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.73/18.95 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))
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.73/18.95 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
% 18.73/18.95 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.73/18.95 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
% 18.73/18.95 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 18.73/18.95 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
% 18.73/18.95 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.73/18.95 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
% 18.73/18.95 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.73/18.95 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)
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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
% 18.73/18.95 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)
% 18.73/18.95 Clause #370 (by clausification #[86]): ∀ (a : Iota), Eq (∀ (B C O : Iota), Exists fun P => circle O a B C → perp P a a O) True
% 18.73/18.97 Clause #371 (by clausification #[370]): ∀ (a a_1 : Iota), Eq (∀ (C O : Iota), Exists fun P => circle O a a_1 C → perp P a a O) True
% 18.73/18.97 Clause #372 (by clausification #[371]): ∀ (a a_1 a_2 : Iota), Eq (∀ (O : Iota), Exists fun P => circle O a a_1 a_2 → perp P a a O) True
% 18.73/18.97 Clause #373 (by clausification #[372]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Exists fun P => circle a a_1 a_2 a_3 → perp P a_1 a_1 a) True
% 18.73/18.97 Clause #374 (by clausification #[373]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (circle a a_1 a_2 a_3 → perp (skS.0 0 a a_1 a_2 a_3 a_4) a_1 a_1 a) True
% 18.73/18.97 Clause #375 (by clausification #[374]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.73/18.97 Or (Eq (circle a a_1 a_2 a_3) False) (Eq (perp (skS.0 0 a a_1 a_2 a_3 a_4) a_1 a_1 a) True)
% 18.73/18.97 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
% 18.73/18.97 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
% 18.73/18.97 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
% 18.73/18.97 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
% 18.73/18.97 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.73/18.97 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)
% 18.73/18.97 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
% 18.73/18.97 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
% 18.73/18.97 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
% 18.73/18.97 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
% 18.73/18.97 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.73/18.97 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
% 18.73/18.97 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.73/18.97 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)
% 18.73/18.97 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
% 18.73/18.97 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
% 18.80/18.99 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
% 18.80/18.99 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
% 18.80/18.99 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
% 18.80/18.99 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
% 18.80/18.99 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)
% 18.80/18.99 Clause #722 (by clausification #[94]): Eq
% 18.80/18.99 (∀ (A C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/18.99 And
% 18.80/18.99 (And
% 18.80/18.99 (And (And (And (And (And (circle O A C K) (circle O A N NWPNT1)) (coll B A K)) (coll B C N)) (circle G A C B))
% 18.80/18.99 (circle O1 K N B))
% 18.80/18.99 (circle G A M NWPNT2))
% 18.80/18.99 (circle O1 K M NWPNT3) →
% 18.80/18.99 cyclic M K O C)
% 18.80/18.99 False
% 18.80/18.99 Clause #723 (by clausification #[722]): ∀ (a : Iota),
% 18.80/18.99 Eq
% 18.80/18.99 (Not
% 18.80/18.99 (∀ (C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/18.99 And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And (And (And (circle O (skS.0 11 a) C K) (circle O (skS.0 11 a) N NWPNT1)) (coll B (skS.0 11 a) K))
% 18.80/18.99 (coll B C N))
% 18.80/18.99 (circle G (skS.0 11 a) C B))
% 18.80/18.99 (circle O1 K N B))
% 18.80/18.99 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/18.99 (circle O1 K M NWPNT3) →
% 18.80/18.99 cyclic M K O C))
% 18.80/18.99 True
% 18.80/18.99 Clause #724 (by clausification #[723]): ∀ (a : Iota),
% 18.80/18.99 Eq
% 18.80/18.99 (∀ (C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/18.99 And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And (And (And (circle O (skS.0 11 a) C K) (circle O (skS.0 11 a) N NWPNT1)) (coll B (skS.0 11 a) K))
% 18.80/18.99 (coll B C N))
% 18.80/18.99 (circle G (skS.0 11 a) C B))
% 18.80/18.99 (circle O1 K N B))
% 18.80/18.99 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/18.99 (circle O1 K M NWPNT3) →
% 18.80/18.99 cyclic M K O C)
% 18.80/18.99 False
% 18.80/18.99 Clause #725 (by clausification #[724]): ∀ (a a_1 : Iota),
% 18.80/18.99 Eq
% 18.80/18.99 (Not
% 18.80/18.99 (∀ (K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/18.99 And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And (And (circle O (skS.0 11 a) (skS.0 12 a a_1) K) (circle O (skS.0 11 a) N NWPNT1))
% 18.80/18.99 (coll B (skS.0 11 a) K))
% 18.80/18.99 (coll B (skS.0 12 a a_1) N))
% 18.80/18.99 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/18.99 (circle O1 K N B))
% 18.80/18.99 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/18.99 (circle O1 K M NWPNT3) →
% 18.80/18.99 cyclic M K O (skS.0 12 a a_1)))
% 18.80/18.99 True
% 18.80/18.99 Clause #726 (by clausification #[725]): ∀ (a a_1 : Iota),
% 18.80/18.99 Eq
% 18.80/18.99 (∀ (K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/18.99 And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And (And (circle O (skS.0 11 a) (skS.0 12 a a_1) K) (circle O (skS.0 11 a) N NWPNT1))
% 18.80/18.99 (coll B (skS.0 11 a) K))
% 18.80/18.99 (coll B (skS.0 12 a a_1) N))
% 18.80/18.99 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/18.99 (circle O1 K N B))
% 18.80/18.99 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/18.99 (circle O1 K M NWPNT3) →
% 18.80/18.99 cyclic M K O (skS.0 12 a a_1))
% 18.80/18.99 False
% 18.80/18.99 Clause #727 (by clausification #[726]): ∀ (a a_1 a_2 : Iota),
% 18.80/18.99 Eq
% 18.80/18.99 (Not
% 18.80/18.99 (∀ (O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/18.99 And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And
% 18.80/18.99 (And (circle O (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/18.99 (circle O (skS.0 11 a) N NWPNT1))
% 18.80/18.99 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/18.99 (coll B (skS.0 12 a a_1) N))
% 18.80/18.99 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/18.99 (circle O1 (skS.0 13 a a_1 a_2) N B))
% 18.80/19.01 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.01 cyclic M (skS.0 13 a a_1 a_2) O (skS.0 12 a a_1)))
% 18.80/19.01 True
% 18.80/19.01 Clause #728 (by clausification #[727]): ∀ (a a_1 a_2 : Iota),
% 18.80/19.01 Eq
% 18.80/19.01 (∀ (O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.01 And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And (circle O (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) (circle O (skS.0 11 a) N NWPNT1))
% 18.80/19.01 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.01 (coll B (skS.0 12 a a_1) N))
% 18.80/19.01 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) N B))
% 18.80/19.01 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.01 cyclic M (skS.0 13 a a_1 a_2) O (skS.0 12 a a_1))
% 18.80/19.01 False
% 18.80/19.01 Clause #729 (by clausification #[728]): ∀ (a a_1 a_2 a_3 : Iota),
% 18.80/19.01 Eq
% 18.80/19.01 (Not
% 18.80/19.01 (∀ (N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.01 And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.01 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) N NWPNT1))
% 18.80/19.01 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.01 (coll B (skS.0 12 a a_1) N))
% 18.80/19.01 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) N B))
% 18.80/19.01 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.01 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)))
% 18.80/19.01 True
% 18.80/19.01 Clause #730 (by clausification #[729]): ∀ (a a_1 a_2 a_3 : Iota),
% 18.80/19.01 Eq
% 18.80/19.01 (∀ (N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.01 And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.01 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) N NWPNT1))
% 18.80/19.01 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.01 (coll B (skS.0 12 a a_1) N))
% 18.80/19.01 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) N B))
% 18.80/19.01 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.01 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))
% 18.80/19.01 False
% 18.80/19.01 Clause #731 (by clausification #[730]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.80/19.01 Eq
% 18.80/19.01 (Not
% 18.80/19.01 (∀ (B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.01 And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.01 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.01 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.01 (coll B (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.01 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) B))
% 18.80/19.01 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.01 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.01 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)))
% 18.80/19.01 True
% 18.80/19.01 Clause #732 (by clausification #[731]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 18.80/19.01 Eq
% 18.80/19.01 (∀ (B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.01 And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And
% 18.80/19.01 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.01 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.01 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.03 (coll B (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.03 (circle G (skS.0 11 a) (skS.0 12 a a_1) B))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) B))
% 18.80/19.03 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.03 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))
% 18.80/19.03 False
% 18.80/19.03 Clause #733 (by clausification #[732]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.80/19.03 Eq
% 18.80/19.03 (Not
% 18.80/19.03 (∀ (G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.03 And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.03 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.03 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.03 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.03 (circle G (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.03 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.03 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)))
% 18.80/19.03 True
% 18.80/19.03 Clause #734 (by clausification #[733]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 18.80/19.03 Eq
% 18.80/19.03 (∀ (G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.03 And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.03 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.03 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.03 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.03 (circle G (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.03 (circle G (skS.0 11 a) M NWPNT2))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.03 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))
% 18.80/19.03 False
% 18.80/19.03 Clause #735 (by clausification #[734]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 18.80/19.03 Eq
% 18.80/19.03 (Not
% 18.80/19.03 (∀ (O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.03 And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.03 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.03 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.03 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.03 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.80/19.03 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.03 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2))
% 18.80/19.03 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.03 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)))
% 18.80/19.03 True
% 18.80/19.03 Clause #736 (by clausification #[735]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 18.80/19.03 Eq
% 18.80/19.03 (∀ (O1 M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.03 And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And
% 18.80/19.03 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.05 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.80/19.05 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.05 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2))
% 18.80/19.05 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.05 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))
% 18.80/19.05 False
% 18.80/19.05 Clause #737 (by clausification #[736]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.80/19.05 Eq
% 18.80/19.05 (Not
% 18.80/19.05 (∀ (M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.05 And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.05 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.80/19.05 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.05 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.80/19.05 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2))
% 18.80/19.05 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.05 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)))
% 18.80/19.05 True
% 18.80/19.05 Clause #738 (by clausification #[737]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.80/19.05 Eq
% 18.80/19.05 (∀ (M NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.05 And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.05 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.80/19.05 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.05 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.80/19.05 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2))
% 18.80/19.05 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) M NWPNT3) →
% 18.80/19.05 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))
% 18.80/19.05 False
% 18.80/19.05 Clause #739 (by clausification #[738]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.80/19.05 Eq
% 18.80/19.05 (Not
% 18.80/19.05 (∀ (NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.80/19.05 And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And
% 18.80/19.05 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.80/19.05 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.80/19.05 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.80/19.05 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.80/19.05 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.90/19.07 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.90/19.07 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.90/19.07 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.90/19.07 NWPNT2))
% 18.90/19.07 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.90/19.07 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) →
% 18.90/19.07 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.90/19.07 (skS.0 12 a a_1)))
% 18.90/19.07 True
% 18.90/19.07 Clause #740 (by clausification #[739]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.90/19.07 Eq
% 18.90/19.07 (∀ (NWPNT1 NWPNT2 NWPNT3 : Iota),
% 18.90/19.07 And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.90/19.07 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1))
% 18.90/19.07 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.90/19.07 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.90/19.07 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.90/19.07 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.90/19.07 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.90/19.07 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.90/19.07 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.90/19.07 NWPNT2))
% 18.90/19.07 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.90/19.07 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) →
% 18.90/19.07 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.90/19.07 (skS.0 12 a a_1))
% 18.90/19.07 False
% 18.90/19.07 Clause #741 (by clausification #[740]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.90/19.07 Eq
% 18.90/19.07 (Not
% 18.90/19.07 (∀ (NWPNT2 NWPNT3 : Iota),
% 18.90/19.07 And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.90/19.07 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.90/19.07 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.90/19.07 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.90/19.07 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.90/19.07 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.90/19.07 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.90/19.07 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.90/19.07 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.90/19.07 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.90/19.07 NWPNT2))
% 18.90/19.07 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.90/19.07 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) →
% 18.90/19.07 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.90/19.07 (skS.0 12 a a_1)))
% 18.90/19.07 True
% 18.90/19.07 Clause #742 (by clausification #[741]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.90/19.07 Eq
% 18.90/19.07 (∀ (NWPNT2 NWPNT3 : Iota),
% 18.90/19.07 And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And
% 18.90/19.07 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.90/19.07 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.90/19.07 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.90/19.07 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.93/19.10 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.93/19.10 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.93/19.10 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.10 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.10 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.10 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.93/19.10 NWPNT2))
% 18.93/19.10 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.93/19.10 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) →
% 18.93/19.10 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.93/19.10 (skS.0 12 a a_1))
% 18.93/19.10 False
% 18.93/19.10 Clause #743 (by clausification #[742]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 18.93/19.10 Eq
% 18.93/19.10 (Not
% 18.93/19.10 (∀ (NWPNT3 : Iota),
% 18.93/19.10 And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.93/19.10 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.10 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.93/19.10 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.93/19.10 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.93/19.10 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.93/19.10 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.10 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.10 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.10 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.93/19.10 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 18.93/19.10 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.93/19.10 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) →
% 18.93/19.10 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.93/19.10 (skS.0 12 a a_1)))
% 18.93/19.10 True
% 18.93/19.10 Clause #744 (by clausification #[743]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 18.93/19.10 Eq
% 18.93/19.10 (∀ (NWPNT3 : Iota),
% 18.93/19.10 And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.10 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.93/19.10 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.10 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.93/19.10 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.93/19.10 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.93/19.10 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.93/19.10 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.10 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.10 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.10 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.93/19.10 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 18.93/19.10 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.93/19.10 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) →
% 18.93/19.10 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.93/19.10 (skS.0 12 a a_1))
% 18.93/19.10 False
% 18.93/19.10 Clause #745 (by clausification #[744]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 18.93/19.10 Eq
% 18.93/19.10 (Not
% 18.93/19.10 (And
% 18.93/19.10 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.93/19.11 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.11 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.93/19.11 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.93/19.11 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.93/19.11 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.93/19.11 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.11 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.11 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.11 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.93/19.11 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 18.93/19.11 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.93/19.11 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) →
% 18.93/19.11 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.93/19.11 (skS.0 12 a a_1)))
% 18.93/19.11 True
% 18.93/19.11 Clause #746 (by clausification #[745]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 18.93/19.11 Eq
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.93/19.11 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.11 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.93/19.11 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.93/19.11 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.93/19.11 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.93/19.11 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.11 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.11 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.11 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.93/19.11 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 18.93/19.11 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.93/19.11 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) →
% 18.93/19.11 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3)
% 18.93/19.11 (skS.0 12 a a_1))
% 18.93/19.11 False
% 18.93/19.11 Clause #747 (by clausification #[746]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 18.93/19.11 Eq
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And
% 18.93/19.11 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.93/19.11 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.11 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.93/19.11 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.93/19.11 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.93/19.11 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1)
% 18.93/19.11 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.11 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.93/19.11 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.93/19.11 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.93/19.11 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 18.93/19.11 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.95/19.13 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))
% 18.95/19.13 True
% 18.95/19.13 Clause #748 (by clausification #[746]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.13 Eq
% 18.95/19.13 (cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))
% 18.95/19.13 False
% 18.95/19.13 Clause #750 (by clausification #[747]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 18.95/19.13 Eq
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.95/19.13 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.95/19.13 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.95/19.13 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.95/19.13 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.95/19.13 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.95/19.13 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)
% 18.95/19.13 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)))
% 18.95/19.13 True
% 18.95/19.13 Clause #863 (by clausification #[750]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.13 Eq
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And
% 18.95/19.13 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2))
% 18.95/19.13 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))
% 18.95/19.13 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2)))
% 18.95/19.13 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4)))
% 18.95/19.13 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.95/19.13 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)))
% 18.95/19.13 True
% 18.95/19.13 Clause #1061 (by clausification #[863]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.95/19.13 Eq
% 18.95/19.13 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))
% 18.95/19.13 True
% 18.95/19.13 Clause #1065 (by superposition #[1061, 375]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.13 Or (Eq True False)
% 18.95/19.13 (Eq
% 18.95/19.13 (perp
% 18.95/19.13 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.13 (skS.0 13 a a_1 a_2) (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 18.95/19.13 True)
% 18.95/19.13 Clause #1069 (by clausification #[1065]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.13 Eq
% 18.95/19.13 (perp
% 18.95/19.13 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.13 (skS.0 13 a a_1 a_2) (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 18.95/19.13 True
% 18.95/19.13 Clause #1072 (by superposition #[1069, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.13 Or (Eq True False)
% 18.95/19.13 (Eq
% 18.95/19.13 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 18.95/19.13 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.13 (skS.0 13 a a_1 a_2))
% 18.95/19.13 True)
% 18.95/19.13 Clause #1087 (by clausification #[1072]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.13 Eq
% 18.95/19.13 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 18.95/19.13 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.13 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.13 (skS.0 13 a a_1 a_2))
% 18.95/19.13 True
% 18.95/19.13 Clause #1088 (by superposition #[1087, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.16 Or (Eq True False)
% 18.95/19.16 (Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8))
% 18.95/19.16 True)
% 18.95/19.16 Clause #1098 (by clausification #[1088]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.16 Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8))
% 18.95/19.16 True
% 18.95/19.16 Clause #1099 (by superposition #[1098, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.16 Or (Eq True False)
% 18.95/19.16 (Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.16 (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 18.95/19.16 True)
% 18.95/19.16 Clause #1100 (by superposition #[1098, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 18.95/19.16 Or (Eq (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9) True)
% 18.95/19.16 (Or (Eq True False)
% 18.95/19.16 (Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_10)
% 18.95/19.16 a_8 a_9)
% 18.95/19.16 False))
% 18.95/19.16 Clause #1109 (by clausification #[1099]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.16 Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.16 (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 18.95/19.16 True
% 18.95/19.16 Clause #1110 (by superposition #[1109, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.16 Or (Eq True False)
% 18.95/19.16 (Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.16 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2))
% 18.95/19.16 True)
% 18.95/19.16 Clause #1121 (by clausification #[1110]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 18.95/19.16 Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)
% 18.95/19.16 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2))
% 18.95/19.16 True
% 18.95/19.16 Clause #1170 (by clausification #[1100]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 18.95/19.16 Or (Eq (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9) True)
% 18.95/19.16 (Eq
% 18.95/19.16 (perp (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4)
% 18.95/19.16 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_10)
% 18.95/19.16 a_8 a_9)
% 18.95/19.16 False)
% 18.95/19.16 Clause #1178 (by superposition #[1170, 1121]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.95/19.16 Or
% 18.95/19.16 (Eq
% 18.95/19.16 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 18.95/19.16 (skS.0 13 a a_1 a_2))
% 18.95/19.16 True)
% 18.95/19.16 (Eq False True)
% 18.95/19.16 Clause #1179 (by clausification #[1178]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.95/19.16 Eq
% 18.95/19.16 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)
% 18.95/19.16 (skS.0 13 a a_1 a_2))
% 18.95/19.16 True
% 18.95/19.16 Clause #1181 (by superposition #[1179, 156]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.95/19.16 Or (Eq True False)
% 18.95/19.16 (Eq
% 18.95/19.16 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 18.95/19.16 True)
% 18.95/19.16 Clause #1278 (by clausification #[1181]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 18.95/19.16 Eq
% 18.95/19.16 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.95/19.16 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))
% 18.95/19.16 True
% 18.95/19.16 Clause #1283 (by superposition #[1278, 610]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Or (Eq True False)
% 18.95/19.18 (Eq
% 18.95/19.18 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 (skS.0 13 a a_1 a_2)
% 18.95/19.18 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9)
% 18.95/19.18 True)
% 18.95/19.18 Clause #1286 (by clausification #[1283]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Eq
% 18.95/19.18 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 (skS.0 13 a a_1 a_2)
% 18.95/19.18 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9)
% 18.95/19.18 True
% 18.95/19.18 Clause #1294 (by superposition #[1286, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Or (Eq True False)
% 18.95/19.18 (Eq
% 18.95/19.18 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.95/19.18 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 a_8 a_9)
% 18.95/19.18 True)
% 18.95/19.18 Clause #1298 (by clausification #[1294]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Eq
% 18.95/19.18 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)
% 18.95/19.18 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 a_8 a_9)
% 18.95/19.18 True
% 18.95/19.18 Clause #1304 (by superposition #[1298, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Or (Eq True False)
% 18.95/19.18 (Eq
% 18.95/19.18 (eqangle a a_1 a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4)
% 18.95/19.18 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))
% 18.95/19.18 True)
% 18.95/19.18 Clause #1310 (by clausification #[1304]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Eq
% 18.95/19.18 (eqangle a a_1 a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4)
% 18.95/19.18 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))
% 18.95/19.18 True
% 18.95/19.18 Clause #1314 (by superposition #[1310, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Or (Eq True False)
% 18.95/19.18 (Eq
% 18.95/19.18 (eqangle a a_1 a_1 a (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4)
% 18.95/19.18 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))
% 18.95/19.18 True)
% 18.95/19.18 Clause #1321 (by clausification #[1314]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Eq
% 18.95/19.18 (eqangle a a_1 a_1 a (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4)
% 18.95/19.18 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))
% 18.95/19.18 True
% 18.95/19.18 Clause #1328 (by superposition #[1321, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Or (Eq True False)
% 18.95/19.18 (Eq
% 18.95/19.18 (eqangle a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) a_1 a (skS.0 13 a_2 a_3 a_4)
% 18.95/19.18 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))
% 18.95/19.18 True)
% 18.95/19.18 Clause #1334 (by clausification #[1328]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 18.95/19.18 Eq
% 18.95/19.18 (eqangle a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) a_1 a (skS.0 13 a_2 a_3 a_4)
% 18.95/19.18 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))
% 18.95/19.18 True
% 18.95/19.18 Clause #1338 (by superposition #[1334, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True)
% 18.95/19.18 Clause #1347 (by clausification #[1338]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True
% 18.95/19.18 Clause #1350 (by superposition #[1347, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True)
% 18.95/19.18 Clause #1364 (by clausification #[1350]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True
% 18.95/19.18 Clause #1365 (by superposition #[1364, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True)
% 18.95/19.18 Clause #1369 (by superposition #[1364, 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)
% 18.95/19.18 Clause #1370 (by clausification #[1365]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True
% 18.95/19.18 Clause #1371 (by superposition #[1370, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True)
% 18.95/19.18 Clause #1381 (by clausification #[1371]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True
% 18.95/19.18 Clause #1383 (by superposition #[1381, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True)
% 18.95/19.18 Clause #1392 (by clausification #[1383]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True
% 18.95/19.18 Clause #1394 (by superposition #[1392, 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))
% 19.03/19.20 Clause #1414 (by clausification #[1394]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False)
% 19.03/19.20 Clause #1416 (by superposition #[1414, 1392]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True)
% 19.03/19.20 Clause #1417 (by clausification #[1416]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True
% 19.03/19.20 Clause #1425 (by backward demodulation #[1417, 162]): ∀ (a a_1 a_2 a_3 : Iota),
% 19.03/19.20 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))
% 19.03/19.20 Clause #1443 (by clausification #[1369]): ∀ (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
% 19.03/19.20 Clause #1446 (by superposition #[1443, 496]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True)
% 19.03/19.20 Clause #1448 (by clausification #[1446]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True
% 19.03/19.20 Clause #1548 (by clausification #[1425]): ∀ (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)
% 19.03/19.20 Clause #1550 (by superposition #[1548, 1448]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq False True)
% 19.03/19.20 Clause #1583 (by clausification #[1550]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True
% 19.03/19.20 Clause #1587 (by superposition #[1583, 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))
% 19.03/19.20 Clause #1831 (by clausification #[1587]): ∀ (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)
% 19.03/19.20 Clause #1832 (by superposition #[1831, 1583]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True)
% 19.03/19.20 Clause #1837 (by clausification #[1832]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True
% 19.03/19.20 Clause #1845 (by superposition #[1837, 748]): Eq True False
% 19.03/19.20 Clause #1847 (by clausification #[1845]): False
% 19.03/19.20 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------