%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO627+1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 : Fri Oct 3 07:48:46 PM UTC 2025 % Result : Theorem 18.15s 18.36s % Output : Proof 18.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO627+1 : TPTP v9.2.0. Released v7.5.0. % 0.11/0.12 % Command : duper %s % 0.11/0.33 % Computer : n012.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Oct 3 12:26:08 EDT 2025 % 0.11/0.33 % CPUTime : % 18.15/18.36 SZS status Theorem for theBenchmark.p % 18.15/18.36 SZS output start Proof for theBenchmark.p % 18.15/18.36 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True % 18.15/18.36 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True % 18.15/18.36 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True % 18.15/18.36 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True % 18.15/18.36 Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True % 18.15/18.36 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True % 18.15/18.36 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True % 18.15/18.36 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 % 18.15/18.36 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 % 18.15/18.36 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 % 18.15/18.36 Clause #18 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle C D A B U V P Q) True % 18.15/18.36 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 % 18.15/18.36 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 % 18.15/18.36 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 % 18.15/18.36 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 % 18.15/18.36 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 % 18.15/18.36 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True % 18.15/18.36 Clause #94 (by assumption #[]): Eq % 18.15/18.36 (Not % 18.15/18.36 (∀ (A B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.15/18.36 And % 18.15/18.36 (And % 18.15/18.36 (And % 18.15/18.36 (And % 18.15/18.36 (And % 18.15/18.36 (And % 18.15/18.36 (And % 18.15/18.36 (And % 18.15/18.36 (And (And (And (And (circle O A B C) (circle O A P1 NWPNT1)) (perp F P1 A C)) (coll F A C)) % 18.15/18.36 (perp G P1 A B)) % 18.15/18.36 (coll G A B)) % 18.15/18.36 (circle O A P NWPNT2)) % 18.15/18.36 (perp G1 P A B)) % 18.15/18.36 (coll G1 A B)) % 18.15/18.36 (perp F1 P A C)) % 18.15/18.36 (coll F1 A C)) % 18.15/18.36 (perp F G P K)) % 18.15/18.36 (perp G1 F1 P1 K) → % 18.15/18.36 cyclic A P1 P K)) % 18.15/18.36 True % 18.15/18.36 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True % 18.15/18.36 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True % 18.15/18.36 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 % 18.15/18.36 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) % 18.15/18.36 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True % 18.15/18.36 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True % 18.15/18.36 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 % 18.15/18.36 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) % 18.15/18.36 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True % 18.15/18.36 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True % 18.15/18.36 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 % 18.15/18.36 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) % 18.15/18.36 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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) % 18.15/18.39 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)) % 18.15/18.39 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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) % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota), % 18.15/18.39 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) % 18.15/18.39 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota), % 18.15/18.39 Or (Eq (cyclic a a_1 a_2 a_3) True) % 18.15/18.39 (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)) % 18.15/18.39 Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True % 18.15/18.39 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), para a a_1 C D → para C D a a_1) True % 18.15/18.39 Clause #187 (by clausification #[186]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), para a a_1 a_2 D → para a_2 D a a_1) True % 18.15/18.39 Clause #188 (by clausification #[187]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para a a_1 a_2 a_3 → para a_2 a_3 a a_1) True % 18.15/18.39 Clause #189 (by clausification #[188]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (para a_2 a_3 a a_1) True) % 18.15/18.39 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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) % 18.15/18.39 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True % 18.15/18.39 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 % 18.15/18.39 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 % 18.15/18.39 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 % 18.21/18.41 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) % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.21/18.41 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) % 18.21/18.41 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.21/18.41 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)) % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.21/18.41 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) % 18.21/18.41 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.21/18.41 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)) % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 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 % 18.21/18.41 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.21/18.41 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 % 18.21/18.41 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.21/18.41 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 % 18.21/18.41 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.21/18.41 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 % 18.21/18.41 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.41 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 % 18.21/18.41 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.41 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) % 18.21/18.41 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 % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 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) % 18.21/18.44 Clause #389 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle C D a B U V P Q) True % 18.21/18.44 Clause #390 (by clausification #[389]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle C D a a_1 U V P Q) True % 18.21/18.44 Clause #391 (by clausification #[390]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle a_2 D a a_1 U V P Q) True % 18.21/18.44 Clause #392 (by clausification #[391]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle a_2 a_3 a a_1 U V P Q) True % 18.21/18.44 Clause #393 (by clausification #[392]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.21/18.44 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a_2 a_3 a a_1 U V a_4 Q) True % 18.21/18.44 Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.21/18.44 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a_2 a_3 a a_1 U V a_4 a_5) True % 18.21/18.44 Clause #395 (by clausification #[394]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.21/18.44 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a_2 a_3 a a_1 a_6 V a_4 a_5) True % 18.21/18.44 Clause #396 (by clausification #[395]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.44 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True % 18.21/18.44 Clause #397 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.44 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True) % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 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 % 18.21/18.44 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.21/18.44 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 % 18.21/18.44 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.21/18.44 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 % 18.21/18.44 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.21/18.44 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 % 18.21/18.44 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.44 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 % 18.21/18.44 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.44 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) % 18.21/18.44 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 % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.21/18.46 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 % 18.21/18.46 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.21/18.46 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 % 18.21/18.46 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.21/18.46 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 % 18.21/18.46 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.46 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 % 18.21/18.46 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.21/18.46 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) % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 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 % 18.21/18.46 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) % 18.21/18.46 Clause #735 (by clausification #[94]): Eq % 18.21/18.46 (∀ (A B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.21/18.46 And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And (And (And (And (circle O A B C) (circle O A P1 NWPNT1)) (perp F P1 A C)) (coll F A C)) % 18.21/18.46 (perp G P1 A B)) % 18.21/18.46 (coll G A B)) % 18.21/18.46 (circle O A P NWPNT2)) % 18.21/18.46 (perp G1 P A B)) % 18.21/18.46 (coll G1 A B)) % 18.21/18.46 (perp F1 P A C)) % 18.21/18.46 (coll F1 A C)) % 18.21/18.46 (perp F G P K)) % 18.21/18.46 (perp G1 F1 P1 K) → % 18.21/18.46 cyclic A P1 P K) % 18.21/18.46 False % 18.21/18.46 Clause #736 (by clausification #[735]): ∀ (a : Iota), % 18.21/18.46 Eq % 18.21/18.46 (Not % 18.21/18.46 (∀ (B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.21/18.46 And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And % 18.21/18.46 (And (And (circle O (skS.0 12 a) B C) (circle O (skS.0 12 a) P1 NWPNT1)) % 18.21/18.46 (perp F P1 (skS.0 12 a) C)) % 18.21/18.46 (coll F (skS.0 12 a) C)) % 18.21/18.46 (perp G P1 (skS.0 12 a) B)) % 18.21/18.46 (coll G (skS.0 12 a) B)) % 18.21/18.46 (circle O (skS.0 12 a) P NWPNT2)) % 18.21/18.46 (perp G1 P (skS.0 12 a) B)) % 18.21/18.46 (coll G1 (skS.0 12 a) B)) % 18.21/18.46 (perp F1 P (skS.0 12 a) C)) % 18.21/18.46 (coll F1 (skS.0 12 a) C)) % 18.28/18.48 (perp F G P K)) % 18.28/18.48 (perp G1 F1 P1 K) → % 18.28/18.48 cyclic (skS.0 12 a) P1 P K)) % 18.28/18.48 True % 18.28/18.48 Clause #737 (by clausification #[736]): ∀ (a : Iota), % 18.28/18.48 Eq % 18.28/18.48 (∀ (B C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.48 And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And (And (circle O (skS.0 12 a) B C) (circle O (skS.0 12 a) P1 NWPNT1)) % 18.28/18.48 (perp F P1 (skS.0 12 a) C)) % 18.28/18.48 (coll F (skS.0 12 a) C)) % 18.28/18.48 (perp G P1 (skS.0 12 a) B)) % 18.28/18.48 (coll G (skS.0 12 a) B)) % 18.28/18.48 (circle O (skS.0 12 a) P NWPNT2)) % 18.28/18.48 (perp G1 P (skS.0 12 a) B)) % 18.28/18.48 (coll G1 (skS.0 12 a) B)) % 18.28/18.48 (perp F1 P (skS.0 12 a) C)) % 18.28/18.48 (coll F1 (skS.0 12 a) C)) % 18.28/18.48 (perp F G P K)) % 18.28/18.48 (perp G1 F1 P1 K) → % 18.28/18.48 cyclic (skS.0 12 a) P1 P K) % 18.28/18.48 False % 18.28/18.48 Clause #738 (by clausification #[737]): ∀ (a a_1 : Iota), % 18.28/18.48 Eq % 18.28/18.48 (Not % 18.28/18.48 (∀ (C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.48 And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And (And (circle O (skS.0 12 a) (skS.0 13 a a_1) C) (circle O (skS.0 12 a) P1 NWPNT1)) % 18.28/18.48 (perp F P1 (skS.0 12 a) C)) % 18.28/18.48 (coll F (skS.0 12 a) C)) % 18.28/18.48 (perp G P1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (circle O (skS.0 12 a) P NWPNT2)) % 18.28/18.48 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (perp F1 P (skS.0 12 a) C)) % 18.28/18.48 (coll F1 (skS.0 12 a) C)) % 18.28/18.48 (perp F G P K)) % 18.28/18.48 (perp G1 F1 P1 K) → % 18.28/18.48 cyclic (skS.0 12 a) P1 P K)) % 18.28/18.48 True % 18.28/18.48 Clause #739 (by clausification #[738]): ∀ (a a_1 : Iota), % 18.28/18.48 Eq % 18.28/18.48 (∀ (C O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.48 And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And (And (circle O (skS.0 12 a) (skS.0 13 a a_1) C) (circle O (skS.0 12 a) P1 NWPNT1)) % 18.28/18.48 (perp F P1 (skS.0 12 a) C)) % 18.28/18.48 (coll F (skS.0 12 a) C)) % 18.28/18.48 (perp G P1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (circle O (skS.0 12 a) P NWPNT2)) % 18.28/18.48 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (perp F1 P (skS.0 12 a) C)) % 18.28/18.48 (coll F1 (skS.0 12 a) C)) % 18.28/18.48 (perp F G P K)) % 18.28/18.48 (perp G1 F1 P1 K) → % 18.28/18.48 cyclic (skS.0 12 a) P1 P K) % 18.28/18.48 False % 18.28/18.48 Clause #740 (by clausification #[739]): ∀ (a a_1 a_2 : Iota), % 18.28/18.48 Eq % 18.28/18.48 (Not % 18.28/18.48 (∀ (O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.48 And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And % 18.28/18.48 (And (circle O (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.48 (circle O (skS.0 12 a) P1 NWPNT1)) % 18.28/18.48 (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.48 (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.48 (perp G P1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.48 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (circle O (skS.0 12 a) P NWPNT2)) % 18.28/18.50 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (perp F G P K)) % 18.28/18.50 (perp G1 F1 P1 K) → % 18.28/18.50 cyclic (skS.0 12 a) P1 P K)) % 18.28/18.50 True % 18.28/18.50 Clause #741 (by clausification #[740]): ∀ (a a_1 a_2 : Iota), % 18.28/18.50 Eq % 18.28/18.50 (∀ (O P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.50 And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And (circle O (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.50 (circle O (skS.0 12 a) P1 NWPNT1)) % 18.28/18.50 (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (perp G P1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (circle O (skS.0 12 a) P NWPNT2)) % 18.28/18.50 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (perp F G P K)) % 18.28/18.50 (perp G1 F1 P1 K) → % 18.28/18.50 cyclic (skS.0 12 a) P1 P K) % 18.28/18.50 False % 18.28/18.50 Clause #742 (by clausification #[741]): ∀ (a a_1 a_2 a_3 : Iota), % 18.28/18.50 Eq % 18.28/18.50 (Not % 18.28/18.50 (∀ (P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.50 And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.50 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P1 NWPNT1)) % 18.28/18.50 (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (perp G P1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.50 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (perp F G P K)) % 18.28/18.50 (perp G1 F1 P1 K) → % 18.28/18.50 cyclic (skS.0 12 a) P1 P K)) % 18.28/18.50 True % 18.28/18.50 Clause #743 (by clausification #[742]): ∀ (a a_1 a_2 a_3 : Iota), % 18.28/18.50 Eq % 18.28/18.50 (∀ (P1 F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.50 And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And % 18.28/18.50 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.50 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P1 NWPNT1)) % 18.28/18.50 (perp F P1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.50 (perp G P1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.50 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.50 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (perp F G P K)) % 18.28/18.53 (perp G1 F1 P1 K) → % 18.28/18.53 cyclic (skS.0 12 a) P1 P K) % 18.28/18.53 False % 18.28/18.53 Clause #744 (by clausification #[743]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.28/18.53 Eq % 18.28/18.53 (Not % 18.28/18.53 (∀ (F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.53 And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.53 (perp F (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.53 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (perp F G P K)) % 18.28/18.53 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.53 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K)) % 18.28/18.53 True % 18.28/18.53 Clause #745 (by clausification #[744]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 18.28/18.53 Eq % 18.28/18.53 (∀ (F G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.53 And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.53 (perp F (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (coll F (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.53 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.53 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.53 (perp F G P K)) % 18.28/18.53 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.53 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K) % 18.28/18.53 False % 18.28/18.53 Clause #746 (by clausification #[745]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.28/18.53 Eq % 18.28/18.53 (Not % 18.28/18.53 (∀ (G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.53 And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (And % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.53 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.53 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.53 (skS.0 14 a a_1 a_2))) % 18.28/18.53 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.54 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) G P K)) % 18.28/18.54 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.54 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K)) % 18.28/18.54 True % 18.28/18.54 Clause #747 (by clausification #[746]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 18.28/18.54 Eq % 18.28/18.54 (∀ (G P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.54 And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.54 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.54 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.54 (skS.0 14 a a_1 a_2))) % 18.28/18.54 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (perp G (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (coll G (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.54 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) G P K)) % 18.28/18.54 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.54 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K) % 18.28/18.54 False % 18.28/18.54 Clause #748 (by clausification #[747]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.28/18.54 Eq % 18.28/18.54 (Not % 18.28/18.54 (∀ (P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.54 And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (And % 18.28/18.54 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.54 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.54 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.54 (skS.0 14 a a_1 a_2))) % 18.28/18.54 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.54 (skS.0 13 a a_1))) % 18.28/18.54 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.54 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.54 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.54 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) P K)) % 18.28/18.54 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.54 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K)) % 18.28/18.57 True % 18.28/18.57 Clause #749 (by clausification #[748]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.28/18.57 Eq % 18.28/18.57 (∀ (P G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.57 And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.57 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.57 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.57 (skS.0 14 a a_1 a_2))) % 18.28/18.57 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.57 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.57 (skS.0 13 a a_1))) % 18.28/18.57 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.57 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) P NWPNT2)) % 18.28/18.57 (perp G1 P (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.57 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.57 (perp F1 P (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.57 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.57 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) P K)) % 18.28/18.57 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.57 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) P K) % 18.28/18.57 False % 18.28/18.57 Clause #750 (by clausification #[749]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.28/18.57 Eq % 18.28/18.57 (Not % 18.28/18.57 (∀ (G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.57 And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.28/18.57 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.28/18.57 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.57 (skS.0 14 a a_1 a_2))) % 18.28/18.57 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.57 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.28/18.57 (skS.0 13 a a_1))) % 18.28/18.57 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.57 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.28/18.57 (perp G1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.57 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.28/18.57 (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.57 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.28/18.57 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.28/18.57 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.28/18.57 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.28/18.57 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.28/18.57 True % 18.28/18.57 Clause #751 (by clausification #[750]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 18.28/18.57 Eq % 18.28/18.57 (∀ (G1 F1 K NWPNT1 NWPNT2 : Iota), % 18.28/18.57 And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And % 18.28/18.57 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.39/18.59 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.39/18.59 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.39/18.59 (skS.0 14 a a_1 a_2))) % 18.39/18.59 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.39/18.59 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.39/18.59 (skS.0 13 a a_1))) % 18.39/18.59 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.39/18.59 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.39/18.59 (perp G1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 13 a a_1))) % 18.39/18.59 (coll G1 (skS.0 12 a) (skS.0 13 a a_1))) % 18.39/18.59 (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.39/18.59 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.39/18.59 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.39/18.59 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.39/18.59 (perp G1 F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.39/18.59 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K) % 18.39/18.59 False % 18.39/18.59 Clause #752 (by clausification #[751]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.39/18.59 Eq % 18.39/18.59 (Not % 18.39/18.59 (∀ (F1 K NWPNT1 NWPNT2 : Iota), % 18.39/18.59 And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.39/18.59 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.39/18.59 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.39/18.59 (skS.0 14 a a_1 a_2))) % 18.39/18.59 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.39/18.59 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.39/18.59 (skS.0 13 a a_1))) % 18.39/18.59 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.39/18.59 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.39/18.59 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.39/18.59 (skS.0 12 a) (skS.0 13 a a_1))) % 18.39/18.59 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.39/18.59 (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.39/18.59 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.39/18.59 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.39/18.59 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.39/18.59 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.39/18.59 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.39/18.59 True % 18.39/18.59 Clause #753 (by clausification #[752]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.39/18.59 Eq % 18.39/18.59 (∀ (F1 K NWPNT1 NWPNT2 : Iota), % 18.39/18.59 And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And % 18.39/18.59 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.42/18.62 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.42/18.62 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.62 (skS.0 14 a a_1 a_2))) % 18.42/18.62 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.62 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.62 (skS.0 13 a a_1))) % 18.42/18.62 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.62 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.42/18.62 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.62 (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.62 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.62 (perp F1 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.62 (coll F1 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.62 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.42/18.62 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.42/18.62 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) F1 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.42/18.62 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K) % 18.42/18.62 False % 18.42/18.62 Clause #754 (by clausification #[753]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 18.42/18.62 Eq % 18.42/18.62 (Not % 18.42/18.62 (∀ (K NWPNT1 NWPNT2 : Iota), % 18.42/18.62 And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (And % 18.42/18.62 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.42/18.62 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.42/18.62 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.62 (skS.0 14 a a_1 a_2))) % 18.42/18.62 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.62 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.62 (skS.0 13 a a_1))) % 18.42/18.62 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.62 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.42/18.62 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.62 (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.62 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.62 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.62 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.62 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.62 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.42/18.62 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.42/18.62 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.42/18.62 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.42/18.62 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.42/18.62 True % 18.42/18.62 Clause #755 (by clausification #[754]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 18.42/18.62 Eq % 18.42/18.62 (∀ (K NWPNT1 NWPNT2 : Iota), % 18.42/18.62 And % 18.42/18.62 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.42/18.63 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.42/18.63 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.63 (skS.0 14 a a_1 a_2))) % 18.42/18.63 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.63 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.63 (skS.0 13 a a_1))) % 18.42/18.63 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.63 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.42/18.63 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.63 (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.63 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.63 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.63 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.63 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.63 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.42/18.63 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K)) % 18.42/18.63 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.42/18.63 (skS.0 16 a a_1 a_2 a_3 a_4) K) → % 18.42/18.63 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K) % 18.42/18.63 False % 18.42/18.63 Clause #756 (by clausification #[755]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.42/18.63 Eq % 18.42/18.63 (Not % 18.42/18.63 (∀ (NWPNT1 NWPNT2 : Iota), % 18.42/18.63 And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (And % 18.42/18.63 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.42/18.63 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.42/18.63 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.63 (skS.0 14 a a_1 a_2))) % 18.42/18.63 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.63 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.42/18.63 (skS.0 13 a a_1))) % 18.42/18.63 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.63 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.42/18.63 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.63 (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.63 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.42/18.63 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.42/18.63 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.63 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.42/18.63 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.42/18.63 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.66 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.66 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) → % 18.46/18.66 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.66 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.66 True % 18.46/18.66 Clause #757 (by clausification #[756]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.46/18.66 Eq % 18.46/18.66 (∀ (NWPNT1 NWPNT2 : Iota), % 18.46/18.66 And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.66 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) NWPNT1)) % 18.46/18.66 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.66 (skS.0 14 a a_1 a_2))) % 18.46/18.66 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.66 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.66 (skS.0 13 a a_1))) % 18.46/18.66 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.66 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.46/18.66 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.66 (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.66 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.66 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.66 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.66 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.66 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.46/18.66 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.66 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.66 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) → % 18.46/18.66 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.66 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.46/18.66 False % 18.46/18.66 Clause #758 (by clausification #[757]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 18.46/18.66 Eq % 18.46/18.66 (Not % 18.46/18.66 (∀ (NWPNT2 : Iota), % 18.46/18.66 And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (And % 18.46/18.66 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.66 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) % 18.46/18.66 (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 18.46/18.66 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.66 (skS.0 14 a a_1 a_2))) % 18.46/18.66 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.66 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.66 (skS.0 13 a a_1))) % 18.46/18.66 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.68 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.46/18.68 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.68 (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.68 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.68 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.68 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.68 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.68 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.46/18.68 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.68 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.68 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) → % 18.46/18.68 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.68 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.68 True % 18.46/18.68 Clause #759 (by clausification #[758]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 18.46/18.68 Eq % 18.46/18.68 (∀ (NWPNT2 : Iota), % 18.46/18.68 And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.68 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) % 18.46/18.68 (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 18.46/18.68 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.68 (skS.0 14 a a_1 a_2))) % 18.46/18.68 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.68 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.68 (skS.0 13 a a_1))) % 18.46/18.68 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.68 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) NWPNT2)) % 18.46/18.68 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.68 (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.68 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.68 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.68 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.68 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.68 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.46/18.68 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.68 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.68 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) → % 18.46/18.68 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.68 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.46/18.68 False % 18.46/18.68 Clause #760 (by clausification #[759]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota), % 18.46/18.68 Eq % 18.46/18.68 (Not % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.68 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.70 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) % 18.46/18.70 (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 18.46/18.70 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.70 (skS.0 14 a a_1 a_2))) % 18.46/18.70 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.70 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.70 (skS.0 13 a a_1))) % 18.46/18.70 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.70 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12))) % 18.46/18.70 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.70 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.70 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.70 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.70 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.46/18.70 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.70 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.70 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) → % 18.46/18.70 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.70 True % 18.46/18.70 Clause #761 (by clausification #[760]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota), % 18.46/18.70 Eq % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And % 18.46/18.70 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.70 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) % 18.46/18.70 (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 18.46/18.70 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.70 (skS.0 14 a a_1 a_2))) % 18.46/18.70 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.70 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.70 (skS.0 13 a a_1))) % 18.46/18.70 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.70 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12))) % 18.46/18.70 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.70 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.70 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.70 (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.70 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.72 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.46/18.72 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.72 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.72 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) → % 18.46/18.72 cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.72 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.46/18.72 False % 18.46/18.72 Clause #762 (by clausification #[761]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota), % 18.46/18.72 Eq % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.72 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) % 18.46/18.72 (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 18.46/18.72 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.72 (skS.0 14 a a_1 a_2))) % 18.46/18.72 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.72 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.72 (skS.0 13 a a_1))) % 18.46/18.72 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.72 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.72 (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12))) % 18.46/18.72 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) % 18.46/18.72 (skS.0 13 a a_1))) % 18.46/18.72 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.46/18.72 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) % 18.46/18.72 (skS.0 14 a a_1 a_2))) % 18.46/18.72 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.72 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.46/18.72 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.72 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 18.46/18.72 (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.46/18.72 True % 18.46/18.72 Clause #763 (by clausification #[761]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.46/18.72 Eq % 18.46/18.72 (cyclic (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.46/18.72 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.46/18.72 False % 18.46/18.72 Clause #765 (by clausification #[762]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota), % 18.46/18.72 Eq % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And % 18.46/18.72 (And (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 13 a a_1) (skS.0 14 a a_1 a_2)) % 18.46/18.72 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 16 a a_1 a_2 a_3 a_4) % 18.46/18.72 (skS.0 23 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 18.46/18.72 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.72 (skS.0 14 a a_1 a_2))) % 18.46/18.72 (coll (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.46/18.72 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 16 a a_1 a_2 a_3 a_4) (skS.0 12 a) % 18.46/18.72 (skS.0 13 a a_1))) % 18.55/18.74 (coll (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 12 a) (skS.0 13 a a_1))) % 18.55/18.74 (circle (skS.0 15 a a_1 a_2 a_3) (skS.0 12 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.74 (skS.0 24 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12))) % 18.55/18.74 (perp (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) % 18.55/18.74 (skS.0 13 a a_1))) % 18.55/18.74 (coll (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 12 a) (skS.0 13 a a_1))) % 18.55/18.74 (perp (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 12 a) % 18.55/18.74 (skS.0 14 a a_1 a_2))) % 18.55/18.74 (coll (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 12 a) (skS.0 14 a a_1 a_2))) % 18.55/18.74 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.55/18.74 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 18.55/18.74 True % 18.55/18.74 Clause #887 (by clausification #[765]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Eq % 18.55/18.74 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.74 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.55/18.74 True % 18.55/18.74 Clause #889 (by superposition #[887, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Or (Eq True False) % 18.55/18.74 (Eq % 18.55/18.74 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.55/18.74 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.55/18.74 True) % 18.55/18.74 Clause #890 (by superposition #[887, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Or (Eq True False) % 18.55/18.74 (Eq % 18.55/18.74 (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 18.55/18.74 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.74 True) % 18.55/18.74 Clause #900 (by clausification #[890]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Eq % 18.55/18.74 (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 18.55/18.74 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.74 True % 18.55/18.74 Clause #901 (by superposition #[900, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Or (Eq True False) % 18.55/18.74 (Eq % 18.55/18.74 (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 18.55/18.74 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)) % 18.55/18.74 True) % 18.55/18.74 Clause #912 (by clausification #[901]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Eq % 18.55/18.74 (perp (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 18.55/18.74 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)) % 18.55/18.74 True % 18.55/18.74 Clause #913 (by superposition #[912, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Or (Eq True False) % 18.55/18.74 (Eq % 18.55/18.74 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.74 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.55/18.74 True) % 18.55/18.74 Clause #923 (by clausification #[913]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Eq % 18.55/18.74 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.74 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 18.55/18.74 True % 18.55/18.74 Clause #924 (by superposition #[923, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Or (Eq True False) % 18.55/18.74 (Eq % 18.55/18.74 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.74 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.55/18.74 True) % 18.55/18.74 Clause #934 (by clausification #[924]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.74 Eq % 18.55/18.74 (perp (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.74 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.55/18.74 True % 18.55/18.74 Clause #935 (by superposition #[934, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.77 Or (Eq True False) % 18.55/18.77 (Eq % 18.55/18.77 (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.77 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)) % 18.55/18.77 True) % 18.55/18.77 Clause #956 (by clausification #[935]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.77 Eq % 18.55/18.77 (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.77 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5)) % 18.55/18.77 True % 18.55/18.77 Clause #957 (by superposition #[956, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.77 Or (Eq True False) % 18.55/18.77 (Eq % 18.55/18.77 (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.77 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.77 True) % 18.55/18.77 Clause #967 (by clausification #[957]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.77 Eq % 18.55/18.77 (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 18.55/18.77 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.77 True % 18.55/18.77 Clause #977 (by clausification #[889]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 18.55/18.77 Eq % 18.55/18.77 (perp (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.55/18.77 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.55/18.77 True % 18.55/18.77 Clause #978 (by superposition #[977, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota), % 18.55/18.77 Or (Eq (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8) True) % 18.55/18.77 (Or (Eq True False) % 18.55/18.77 (Eq % 18.55/18.77 (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_9 a_10 a_11 a_12) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_9) a_7 a_8) % 18.55/18.77 False)) % 18.55/18.77 Clause #987 (by clausification #[978]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota), % 18.55/18.77 Or (Eq (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8) True) % 18.55/18.77 (Eq (perp (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_9 a_10 a_11 a_12) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_9) a_7 a_8) % 18.55/18.77 False) % 18.55/18.77 Clause #989 (by superposition #[987, 967]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.55/18.77 Or % 18.55/18.77 (Eq % 18.55/18.77 (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.77 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.77 True) % 18.55/18.77 (Eq False True) % 18.55/18.77 Clause #990 (by clausification #[989]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.55/18.77 Eq % 18.55/18.77 (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.77 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.77 True % 18.55/18.77 Clause #993 (by superposition #[990, 156]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.55/18.77 Or (Eq True False) % 18.55/18.77 (Eq % 18.55/18.77 (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.55/18.77 (skS.0 17 a a_1 a_2 a_3 a_4 a_5)) % 18.55/18.77 True) % 18.55/18.77 Clause #1028 (by clausification #[993]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.55/18.77 Eq % 18.55/18.77 (para (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.55/18.77 (skS.0 17 a a_1 a_2 a_3 a_4 a_5)) % 18.55/18.77 True % 18.55/18.77 Clause #1031 (by superposition #[1028, 189]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.55/18.77 Or (Eq True False) % 18.55/18.77 (Eq % 18.55/18.77 (para (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.77 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.77 True) % 18.55/18.77 Clause #1035 (by clausification #[1031]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 18.55/18.77 Eq % 18.55/18.77 (para (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.55/18.77 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6)) % 18.55/18.77 True % 18.55/18.77 Clause #1040 (by superposition #[1035, 610]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.55/18.77 Or (Eq True False) % 18.55/18.77 (Eq % 18.55/18.77 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 % 18.55/18.77 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8) % 18.60/18.79 True) % 18.60/18.79 Clause #1129 (by clausification #[1040]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 % 18.60/18.79 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8) % 18.60/18.79 True % 18.60/18.79 Clause #1131 (by superposition #[1129, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.79 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.60/18.79 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_7 a_8) % 18.60/18.79 True) % 18.60/18.79 Clause #1134 (by clausification #[1131]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.60/18.79 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_7 a_8) % 18.60/18.79 True % 18.60/18.79 Clause #1137 (by superposition #[1134, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.79 (eqangle a a_1 a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) % 18.60/18.79 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8)) % 18.60/18.79 True) % 18.60/18.79 Clause #1142 (by clausification #[1137]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle a a_1 a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) % 18.60/18.79 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8)) % 18.60/18.79 True % 18.60/18.79 Clause #1144 (by superposition #[1142, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.79 (eqangle a a_1 a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 18.60/18.79 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.79 True) % 18.60/18.79 Clause #1149 (by clausification #[1144]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle a a_1 a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 18.60/18.79 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.79 True % 18.60/18.79 Clause #1153 (by superposition #[1149, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.79 (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a a_1 % 18.60/18.79 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.79 True) % 18.60/18.79 Clause #1156 (by clausification #[1153]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a a_1 % 18.60/18.79 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.79 True % 18.60/18.79 Clause #1157 (by superposition #[1156, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.79 (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a_1 a % 18.60/18.79 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.79 True) % 18.60/18.79 Clause #1161 (by clausification #[1157]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle a a_1 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a_1 a % 18.60/18.79 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.79 True % 18.60/18.79 Clause #1165 (by superposition #[1161, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.79 (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a % 18.60/18.79 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8)) % 18.60/18.79 True) % 18.60/18.79 Clause #1178 (by clausification #[1165]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Eq % 18.60/18.79 (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a % 18.60/18.79 (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8)) % 18.60/18.79 True % 18.60/18.79 Clause #1181 (by superposition #[1178, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.79 Or (Eq True False) % 18.60/18.79 (Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 % 18.60/18.82 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_8 a_7) % 18.60/18.82 True) % 18.60/18.82 Clause #1186 (by clausification #[1181]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 % 18.60/18.82 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_8 a_7) % 18.60/18.82 True % 18.60/18.82 Clause #1189 (by superposition #[1186, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Or (Eq True False) % 18.60/18.82 (Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.60/18.82 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_8 a_7) % 18.60/18.82 True) % 18.60/18.82 Clause #1192 (by clausification #[1189]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.60/18.82 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) a_7 a_8 a_8 a_7) % 18.60/18.82 True % 18.60/18.82 Clause #1194 (by superposition #[1192, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Or (Eq True False) % 18.60/18.82 (Eq % 18.60/18.82 (eqangle (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.60/18.82 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7) % 18.60/18.82 True) % 18.60/18.82 Clause #1200 (by clausification #[1194]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Eq % 18.60/18.82 (eqangle (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.60/18.82 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7) % 18.60/18.82 True % 18.60/18.82 Clause #1201 (by superposition #[1200, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Or (Eq True False) % 18.60/18.82 (Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) % 18.60/18.82 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7) % 18.60/18.82 True) % 18.60/18.82 Clause #1206 (by clausification #[1201]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) % 18.60/18.82 (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 a_8 a_7) % 18.60/18.82 True % 18.60/18.82 Clause #1213 (by superposition #[1206, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Or (Eq True False) % 18.60/18.82 (Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 % 18.60/18.82 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_8 a_7) % 18.60/18.82 True) % 18.60/18.82 Clause #1218 (by clausification #[1213]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Eq % 18.60/18.82 (eqangle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_7 a_8 % 18.60/18.82 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 17 a a_1 a_2 a_3 a_4 a_5) a_8 a_7) % 18.60/18.82 True % 18.60/18.82 Clause #1223 (by superposition #[1218, 397]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Or (Eq True False) % 18.60/18.82 (Eq % 18.60/18.82 (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a % 18.60/18.82 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.82 True) % 18.60/18.82 Clause #1230 (by clausification #[1223]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 18.60/18.82 Eq % 18.60/18.82 (eqangle a a_1 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7) a_1 a % 18.60/18.82 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 17 a_2 a_3 a_4 a_5 a_6 a_7)) % 18.60/18.82 True % 18.60/18.82 Clause #1235 (by superposition #[1230, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True) % 18.60/18.82 Clause #1243 (by clausification #[1235]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True % 18.60/18.82 Clause #1246 (by superposition #[1243, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True) % 18.60/18.82 Clause #1249 (by superposition #[1243, 610]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_3 a_1 a a_2 a_3) True) % 18.60/18.82 Clause #1260 (by clausification #[1246]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True % 18.60/18.82 Clause #1261 (by superposition #[1260, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True) % 18.60/18.84 Clause #1266 (by clausification #[1261]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True % 18.60/18.84 Clause #1269 (by superposition #[1266, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True) % 18.60/18.84 Clause #1278 (by clausification #[1269]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True % 18.60/18.84 Clause #1281 (by superposition #[1278, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True) % 18.60/18.84 Clause #1290 (by clausification #[1281]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True % 18.60/18.84 Clause #1292 (by superposition #[1290, 125]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False)) % 18.60/18.84 Clause #1302 (by clausification #[1249]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_3 a_1 a a_2 a_3) True % 18.60/18.84 Clause #1311 (by superposition #[1302, 496]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_1 a a_2 a_3 a_2 a_3) True) % 18.60/18.84 Clause #1315 (by clausification #[1311]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_1 a a_2 a_3 a_2 a_3) True % 18.60/18.84 Clause #1319 (by superposition #[1315, 352]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True) % 18.60/18.84 Clause #1376 (by clausification #[1319]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True % 18.60/18.84 Clause #1377 (by superposition #[1376, 162]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_1 a_2 a) False)) % 18.60/18.84 Clause #1388 (by clausification #[1292]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 18.60/18.84 Clause #1390 (by superposition #[1388, 1290]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True) % 18.60/18.84 Clause #1391 (by clausification #[1390]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True % 18.60/18.84 Clause #1467 (by clausification #[1377]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq (coll a_1 a_2 a) False) % 18.60/18.84 Clause #1468 (by forward demodulation #[1467, 1391]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq True False) % 18.60/18.84 Clause #1469 (by clausification #[1468]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True % 18.60/18.84 Clause #1473 (by superposition #[1469, 290]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cyclic a a a_1 a_3) False)) % 18.60/18.84 Clause #1739 (by clausification #[1473]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a a a_1 a_3) False) % 18.60/18.84 Clause #1740 (by superposition #[1739, 1469]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True) % 18.60/18.84 Clause #1742 (by clausification #[1740]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True % 18.60/18.84 Clause #1748 (by superposition #[1742, 763]): Eq True False % 18.60/18.84 Clause #1750 (by clausification #[1748]): False % 18.60/18.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------