%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO555+1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 07:48:41 PM UTC 2025 % Result : Theorem 14.96s 15.19s % Output : Proof 15.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO555+1 : TPTP v9.2.0. Released v7.5.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 12:44:38 EDT 2025 % 0.13/0.35 % CPUTime : % 14.96/15.19 SZS status Theorem for theBenchmark.p % 14.96/15.19 SZS output start Proof for theBenchmark.p % 14.96/15.19 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True % 14.96/15.19 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True % 14.96/15.19 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True % 14.96/15.19 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True % 14.96/15.19 Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True % 14.96/15.19 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True % 14.96/15.19 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True % 14.96/15.19 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 % 14.96/15.19 Clause #13 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A B D C) True % 14.96/15.19 Clause #14 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A C B D) True % 14.96/15.19 Clause #15 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic B A C D) True % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 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 % 14.96/15.19 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True % 14.96/15.19 Clause #94 (by assumption #[]): Eq % 14.96/15.19 (Not % 14.96/15.19 (∀ (A B C D E F G H K I : Iota), % 14.96/15.19 And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And % 14.96/15.19 (And (And (And (And (perp D A B C) (coll D B C)) (perp E B A C)) (coll E A C)) (perp F C A B)) % 14.96/15.19 (coll F A B)) % 14.96/15.19 (perp G F B C)) % 14.96/15.19 (coll G B C)) % 14.96/15.19 (perp H F A C)) % 14.96/15.19 (coll H A C)) % 14.96/15.19 (perp K E A B)) % 14.96/15.19 (coll K A B)) % 14.96/15.19 (perp I D A B)) % 14.96/15.19 (coll I A B) → % 14.96/15.19 cyclic H K I G)) % 14.96/15.19 True % 14.96/15.19 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True % 14.96/15.19 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True % 14.96/15.19 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 % 14.96/15.19 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) % 14.96/15.19 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True % 14.96/15.19 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True % 14.96/15.19 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 % 14.96/15.19 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) % 14.96/15.19 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True % 14.96/15.19 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True % 14.96/15.19 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 % 14.96/15.21 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) % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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) % 14.96/15.21 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)) % 14.96/15.21 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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) % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 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 % 14.96/15.21 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota), % 14.96/15.21 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) % 14.96/15.21 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota), % 14.96/15.21 Or (Eq (cyclic a a_1 a_2 a_3) True) % 14.96/15.21 (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)) % 14.96/15.21 Clause #170 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic B a C D) True % 14.96/15.21 Clause #171 (by clausification #[170]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a_1 a C D) True % 14.96/15.21 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a_1 a a_2 D) True % 14.96/15.21 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a_1 a a_2 a_3) True % 14.96/15.21 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a_1 a a_2 a_3) True) % 14.96/15.21 Clause #175 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a C B D) True % 14.96/15.21 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a C a_1 D) True % 14.96/15.21 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_2 a_1 D) True % 14.96/15.21 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_2 a_1 a_3) True % 14.96/15.21 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_2 a_1 a_3) True) % 14.96/15.21 Clause #180 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a B D C) True % 14.96/15.21 Clause #181 (by clausification #[180]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a a_1 D C) True % 15.05/15.24 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_1 D a_2) True % 15.05/15.24 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_1 a_3 a_2) True % 15.05/15.24 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_1 a_3 a_2) True) % 15.05/15.24 Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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) % 15.05/15.24 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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) % 15.05/15.24 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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) % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.05/15.24 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) % 15.05/15.24 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.05/15.24 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)) % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.24 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 % 15.05/15.26 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 % 15.05/15.26 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.05/15.26 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) % 15.05/15.26 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.05/15.26 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)) % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.05/15.26 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 % 15.05/15.26 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.05/15.26 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 % 15.05/15.26 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 15.05/15.26 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 % 15.05/15.26 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.26 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 % 15.05/15.26 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.26 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) % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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) % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 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 % 15.05/15.26 Clause #393 (by clausification #[392]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.05/15.26 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 % 15.05/15.26 Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.05/15.26 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 % 15.05/15.29 Clause #395 (by clausification #[394]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #396 (by clausification #[395]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #397 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.29 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) % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.29 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) % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.29 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 % 15.05/15.29 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.05/15.29 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) % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 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 % 15.05/15.29 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 % 15.14/15.31 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 % 15.14/15.31 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 % 15.14/15.31 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) % 15.14/15.31 Clause #630 (by clausification #[94]): Eq % 15.14/15.31 (∀ (A B C D E F G H K I : Iota), % 15.14/15.31 And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And (And (And (And (perp D A B C) (coll D B C)) (perp E B A C)) (coll E A C)) (perp F C A B)) % 15.14/15.31 (coll F A B)) % 15.14/15.31 (perp G F B C)) % 15.14/15.31 (coll G B C)) % 15.14/15.31 (perp H F A C)) % 15.14/15.31 (coll H A C)) % 15.14/15.31 (perp K E A B)) % 15.14/15.31 (coll K A B)) % 15.14/15.31 (perp I D A B)) % 15.14/15.31 (coll I A B) → % 15.14/15.31 cyclic H K I G) % 15.14/15.31 False % 15.14/15.31 Clause #631 (by clausification #[630]): ∀ (a : Iota), % 15.14/15.31 Eq % 15.14/15.31 (Not % 15.14/15.31 (∀ (B C D E F G H K I : Iota), % 15.14/15.31 And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And (And (And (perp D (skS.0 5 a) B C) (coll D B C)) (perp E B (skS.0 5 a) C)) % 15.14/15.31 (coll E (skS.0 5 a) C)) % 15.14/15.31 (perp F C (skS.0 5 a) B)) % 15.14/15.31 (coll F (skS.0 5 a) B)) % 15.14/15.31 (perp G F B C)) % 15.14/15.31 (coll G B C)) % 15.14/15.31 (perp H F (skS.0 5 a) C)) % 15.14/15.31 (coll H (skS.0 5 a) C)) % 15.14/15.31 (perp K E (skS.0 5 a) B)) % 15.14/15.31 (coll K (skS.0 5 a) B)) % 15.14/15.31 (perp I D (skS.0 5 a) B)) % 15.14/15.31 (coll I (skS.0 5 a) B) → % 15.14/15.31 cyclic H K I G)) % 15.14/15.31 True % 15.14/15.31 Clause #632 (by clausification #[631]): ∀ (a : Iota), % 15.14/15.31 Eq % 15.14/15.31 (∀ (B C D E F G H K I : Iota), % 15.14/15.31 And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And (And (And (perp D (skS.0 5 a) B C) (coll D B C)) (perp E B (skS.0 5 a) C)) % 15.14/15.31 (coll E (skS.0 5 a) C)) % 15.14/15.31 (perp F C (skS.0 5 a) B)) % 15.14/15.31 (coll F (skS.0 5 a) B)) % 15.14/15.31 (perp G F B C)) % 15.14/15.31 (coll G B C)) % 15.14/15.31 (perp H F (skS.0 5 a) C)) % 15.14/15.31 (coll H (skS.0 5 a) C)) % 15.14/15.31 (perp K E (skS.0 5 a) B)) % 15.14/15.31 (coll K (skS.0 5 a) B)) % 15.14/15.31 (perp I D (skS.0 5 a) B)) % 15.14/15.31 (coll I (skS.0 5 a) B) → % 15.14/15.31 cyclic H K I G) % 15.14/15.31 False % 15.14/15.31 Clause #633 (by clausification #[632]): ∀ (a a_1 : Iota), % 15.14/15.31 Eq % 15.14/15.31 (Not % 15.14/15.31 (∀ (C D E F G H K I : Iota), % 15.14/15.31 And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And % 15.14/15.31 (And (And (perp D (skS.0 5 a) (skS.0 6 a a_1) C) (coll D (skS.0 6 a a_1) C)) % 15.14/15.31 (perp E (skS.0 6 a a_1) (skS.0 5 a) C)) % 15.14/15.31 (coll E (skS.0 5 a) C)) % 15.14/15.31 (perp F C (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.31 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.31 (perp G F (skS.0 6 a a_1) C)) % 15.14/15.31 (coll G (skS.0 6 a a_1) C)) % 15.14/15.31 (perp H F (skS.0 5 a) C)) % 15.14/15.33 (coll H (skS.0 5 a) C)) % 15.14/15.33 (perp K E (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (perp I D (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.33 cyclic H K I G)) % 15.14/15.33 True % 15.14/15.33 Clause #634 (by clausification #[633]): ∀ (a a_1 : Iota), % 15.14/15.33 Eq % 15.14/15.33 (∀ (C D E F G H K I : Iota), % 15.14/15.33 And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And (And (perp D (skS.0 5 a) (skS.0 6 a a_1) C) (coll D (skS.0 6 a a_1) C)) % 15.14/15.33 (perp E (skS.0 6 a a_1) (skS.0 5 a) C)) % 15.14/15.33 (coll E (skS.0 5 a) C)) % 15.14/15.33 (perp F C (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (perp G F (skS.0 6 a a_1) C)) % 15.14/15.33 (coll G (skS.0 6 a a_1) C)) % 15.14/15.33 (perp H F (skS.0 5 a) C)) % 15.14/15.33 (coll H (skS.0 5 a) C)) % 15.14/15.33 (perp K E (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (perp I D (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.33 cyclic H K I G) % 15.14/15.33 False % 15.14/15.33 Clause #635 (by clausification #[634]): ∀ (a a_1 a_2 : Iota), % 15.14/15.33 Eq % 15.14/15.33 (Not % 15.14/15.33 (∀ (D E F G H K I : Iota), % 15.14/15.33 And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And (perp D (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.33 (coll D (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp K E (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (perp I D (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.33 cyclic H K I G)) % 15.14/15.33 True % 15.14/15.33 Clause #636 (by clausification #[635]): ∀ (a a_1 a_2 : Iota), % 15.14/15.33 Eq % 15.14/15.33 (∀ (D E F G H K I : Iota), % 15.14/15.33 And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And % 15.14/15.33 (And (perp D (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.33 (coll D (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.33 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.33 (perp K E (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (perp I D (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.35 cyclic H K I G) % 15.14/15.35 False % 15.14/15.35 Clause #637 (by clausification #[636]): ∀ (a a_1 a_2 a_3 : Iota), % 15.14/15.35 Eq % 15.14/15.35 (Not % 15.14/15.35 (∀ (E F G H K I : Iota), % 15.14/15.35 And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.35 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp K E (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.35 cyclic H K I G)) % 15.14/15.35 True % 15.14/15.35 Clause #638 (by clausification #[637]): ∀ (a a_1 a_2 a_3 : Iota), % 15.14/15.35 Eq % 15.14/15.35 (∀ (E F G H K I : Iota), % 15.14/15.35 And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.35 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp E (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll E (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp K E (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.35 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.35 cyclic H K I G) % 15.14/15.35 False % 15.14/15.35 Clause #639 (by clausification #[638]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.14/15.35 Eq % 15.14/15.35 (Not % 15.14/15.35 (∀ (F G H K I : Iota), % 15.14/15.35 And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And % 15.14/15.35 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.35 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.35 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.37 cyclic H K I G)) % 15.14/15.37 True % 15.14/15.37 Clause #640 (by clausification #[639]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 15.14/15.37 Eq % 15.14/15.37 (∀ (F G H K I : Iota), % 15.14/15.37 And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.37 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp F (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll F (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (perp G F (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp H F (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.37 cyclic H K I G) % 15.14/15.37 False % 15.14/15.37 Clause #641 (by clausification #[640]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.14/15.37 Eq % 15.14/15.37 (Not % 15.14/15.37 (∀ (G H K I : Iota), % 15.14/15.37 And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.14/15.37 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (perp G (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.14/15.37 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.14/15.37 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.14/15.37 cyclic H K I G)) % 15.14/15.37 True % 15.14/15.37 Clause #642 (by clausification #[641]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 15.14/15.37 Eq % 15.14/15.37 (∀ (G H K I : Iota), % 15.14/15.37 And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.14/15.37 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.22/15.39 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (perp G (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll G (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.22/15.39 cyclic H K I G) % 15.22/15.39 False % 15.22/15.39 Clause #643 (by clausification #[642]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 15.22/15.39 Eq % 15.22/15.39 (Not % 15.22/15.39 (∀ (H K I : Iota), % 15.22/15.39 And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.22/15.39 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.22/15.39 (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.22/15.39 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.22/15.39 cyclic H K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))) % 15.22/15.39 True % 15.22/15.39 Clause #644 (by clausification #[643]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 15.22/15.39 Eq % 15.22/15.39 (∀ (H K I : Iota), % 15.22/15.39 And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And % 15.22/15.39 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.22/15.39 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.22/15.39 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.41 (skS.0 7 a a_1 a_2))) % 15.25/15.41 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp H (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (coll H (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.41 cyclic H K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)) % 15.25/15.41 False % 15.25/15.41 Clause #645 (by clausification #[644]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.25/15.41 Eq % 15.25/15.41 (Not % 15.25/15.41 (∀ (K I : Iota), % 15.25/15.41 And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.41 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.41 (skS.0 7 a a_1 a_2))) % 15.25/15.41 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.41 (skS.0 7 a a_1 a_2))) % 15.25/15.41 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.41 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))) % 15.25/15.41 True % 15.25/15.41 Clause #646 (by clausification #[645]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 15.25/15.41 Eq % 15.25/15.41 (∀ (K I : Iota), % 15.25/15.41 And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And % 15.25/15.41 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.41 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.41 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.41 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.44 (skS.0 7 a a_1 a_2))) % 15.25/15.44 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.44 (skS.0 7 a a_1 a_2))) % 15.25/15.44 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp K (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (coll K (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.44 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) K I (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)) % 15.25/15.44 False % 15.25/15.44 Clause #647 (by clausification #[646]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 15.25/15.44 Eq % 15.25/15.44 (Not % 15.25/15.44 (∀ (I : Iota), % 15.25/15.44 And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.44 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.44 (skS.0 7 a a_1 a_2))) % 15.25/15.44 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.44 (skS.0 7 a a_1 a_2))) % 15.25/15.44 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) % 15.25/15.44 (skS.0 6 a a_1))) % 15.25/15.44 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.44 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) I % 15.25/15.44 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))) % 15.25/15.44 True % 15.25/15.44 Clause #648 (by clausification #[647]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 15.25/15.44 Eq % 15.25/15.44 (∀ (I : Iota), % 15.25/15.44 And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And % 15.25/15.44 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.44 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.44 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.44 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.46 (skS.0 7 a a_1 a_2))) % 15.25/15.46 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.46 (skS.0 7 a a_1 a_2))) % 15.25/15.46 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) % 15.25/15.46 (skS.0 6 a a_1))) % 15.25/15.46 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.46 (perp I (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.46 (coll I (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.46 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) I % 15.25/15.46 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)) % 15.25/15.46 False % 15.25/15.46 Clause #649 (by clausification #[648]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.46 Eq % 15.25/15.46 (Not % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.46 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.46 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.46 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.46 (skS.0 7 a a_1 a_2))) % 15.25/15.46 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.46 (skS.0 7 a a_1 a_2))) % 15.25/15.46 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) % 15.25/15.46 (skS.0 6 a a_1))) % 15.25/15.46 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.46 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.46 (coll (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.46 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 15.25/15.46 (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6))) % 15.25/15.46 True % 15.25/15.46 Clause #650 (by clausification #[649]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.46 Eq % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And % 15.25/15.46 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.46 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.46 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.48 (skS.0 7 a a_1 a_2))) % 15.25/15.48 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.48 (skS.0 7 a a_1 a_2))) % 15.25/15.48 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) % 15.25/15.48 (skS.0 6 a a_1))) % 15.25/15.48 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (coll (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 5 a) (skS.0 6 a a_1)) → % 15.25/15.48 cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 15.25/15.48 (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)) % 15.25/15.48 False % 15.25/15.48 Clause #651 (by clausification #[650]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.48 Eq % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.48 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.48 (skS.0 7 a a_1 a_2))) % 15.25/15.48 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.48 (skS.0 7 a a_1 a_2))) % 15.25/15.48 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 (coll (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.48 True % 15.25/15.48 Clause #652 (by clausification #[650]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.48 Eq % 15.25/15.48 (cyclic (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 15.25/15.48 (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6)) % 15.25/15.48 False % 15.25/15.48 Clause #654 (by clausification #[651]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.48 Eq % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And % 15.25/15.48 (And (perp (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) % 15.25/15.48 (coll (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (perp (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.48 (coll (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.50 (perp (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 7 a a_1 a_2) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.50 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.50 (perp (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1) % 15.25/15.50 (skS.0 7 a a_1 a_2))) % 15.25/15.50 (coll (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1) (skS.0 7 a a_1 a_2))) % 15.25/15.50 (perp (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a a_1 a_2 a_3 a_4 a_5) (skS.0 5 a) % 15.25/15.50 (skS.0 7 a a_1 a_2))) % 15.25/15.50 (coll (skS.0 12 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 5 a) (skS.0 7 a a_1 a_2))) % 15.25/15.50 (perp (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 9 a a_1 a_2 a_3 a_4) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.50 (coll (skS.0 13 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.50 (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1))) % 15.25/15.50 True % 15.25/15.50 Clause #885 (by clausification #[654]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.50 Eq (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) (skS.0 6 a a_1)) True % 15.25/15.50 Clause #887 (by superposition #[885, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.50 Or (Eq True False) % 15.25/15.50 (Eq (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 5 a)) % 15.25/15.50 True) % 15.25/15.50 Clause #888 (by superposition #[885, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.50 Or (Eq True False) % 15.25/15.50 (Eq (perp (skS.0 5 a) (skS.0 6 a a_1) (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3)) % 15.25/15.50 True) % 15.25/15.50 Clause #1390 (by clausification #[888]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.50 Eq (perp (skS.0 5 a) (skS.0 6 a a_1) (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3)) True % 15.25/15.50 Clause #1393 (by superposition #[1390, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 15.25/15.50 Or (Eq (para (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True) % 15.25/15.50 (Or (Eq True False) % 15.25/15.50 (Eq (perp (skS.0 14 a a_1 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11) (skS.0 8 a a_1 a_4 a_5) a_2 a_3) False)) % 15.25/15.50 Clause #1466 (by clausification #[887]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 15.25/15.50 Eq (perp (skS.0 14 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) (skS.0 5 a)) True % 15.25/15.50 Clause #1541 (by clausification #[1393]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 15.25/15.50 Or (Eq (para (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True) % 15.25/15.50 (Eq (perp (skS.0 14 a a_1 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11) (skS.0 8 a a_1 a_4 a_5) a_2 a_3) False) % 15.25/15.50 Clause #1543 (by superposition #[1541, 1466]): ∀ (a a_1 : Iota), Or (Eq (para (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a)) True) (Eq False True) % 15.25/15.50 Clause #1544 (by clausification #[1543]): ∀ (a a_1 : Iota), Eq (para (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a)) True % 15.25/15.50 Clause #1548 (by superposition #[1544, 189]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1)) True) % 15.25/15.50 Clause #1554 (by clausification #[1548]): ∀ (a a_1 : Iota), Eq (para (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1)) True % 15.25/15.50 Clause #1561 (by superposition #[1554, 610]): ∀ (a a_1 a_2 a_3 : Iota), % 15.25/15.50 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True) % 15.25/15.50 Clause #1573 (by clausification #[1561]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3) True % 15.25/15.50 Clause #1575 (by superposition #[1573, 496]): ∀ (a a_1 a_2 a_3 : Iota), % 15.25/15.50 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_2 a_3) True) % 15.25/15.50 Clause #1577 (by clausification #[1575]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_2 a_3) True % 15.25/15.50 Clause #1580 (by superposition #[1577, 441]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True) % 15.34/15.53 Clause #1585 (by clausification #[1580]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True % 15.34/15.53 Clause #1587 (by superposition #[1585, 397]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle a a_1 a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True) % 15.34/15.53 Clause #1592 (by clausification #[1587]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True % 15.34/15.53 Clause #1596 (by superposition #[1592, 496]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True) % 15.34/15.53 Clause #1599 (by clausification #[1596]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True % 15.34/15.53 Clause #1600 (by superposition #[1599, 352]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True) % 15.34/15.53 Clause #1605 (by clausification #[1600]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 5 a_2) (skS.0 6 a_2 a_3) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True % 15.34/15.53 Clause #1609 (by superposition #[1605, 441]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True) % 15.34/15.53 Clause #1614 (by clausification #[1609]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 5 a_2) (skS.0 6 a_2 a_3)) True % 15.34/15.53 Clause #1617 (by superposition #[1614, 397]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_3 a_2) True) % 15.34/15.53 Clause #1622 (by clausification #[1617]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 5 a) (skS.0 6 a a_1) a_3 a_2) True % 15.34/15.53 Clause #1625 (by superposition #[1622, 496]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_3 a_2) True) % 15.34/15.53 Clause #1628 (by clausification #[1625]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 5 a) (skS.0 6 a a_1) a_2 a_3 a_3 a_2) True % 15.34/15.53 Clause #1630 (by superposition #[1628, 397]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True) % 15.34/15.53 Clause #1635 (by clausification #[1630]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 5 a) (skS.0 6 a a_1) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True % 15.34/15.53 Clause #1636 (by superposition #[1635, 352]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True) % 15.34/15.53 Clause #1644 (by clausification #[1636]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 a_3 a_2) True % 15.34/15.53 Clause #1651 (by superposition #[1644, 496]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 6 a a_1) (skS.0 5 a) a_3 a_2) True) % 15.34/15.53 Clause #1656 (by clausification #[1651]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle (skS.0 6 a a_1) (skS.0 5 a) a_2 a_3 (skS.0 6 a a_1) (skS.0 5 a) a_3 a_2) True % 15.34/15.53 Clause #1661 (by superposition #[1656, 397]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.53 Or (Eq True False) (Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True) % 15.34/15.53 Clause #1668 (by clausification #[1661]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 (skS.0 6 a_2 a_3) (skS.0 5 a_2) a_1 a (skS.0 6 a_2 a_3) (skS.0 5 a_2)) True % 15.34/15.53 Clause #1673 (by superposition #[1668, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True) % 15.34/15.53 Clause #1681 (by clausification #[1673]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True % 15.34/15.53 Clause #1691 (by superposition #[1681, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True) % 15.34/15.56 Clause #1718 (by clausification #[1691]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True % 15.34/15.56 Clause #1719 (by superposition #[1718, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True) % 15.34/15.56 Clause #1723 (by superposition #[1718, 610]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True) % 15.34/15.56 Clause #1724 (by clausification #[1719]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True % 15.34/15.56 Clause #1735 (by superposition #[1724, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True) % 15.34/15.56 Clause #1744 (by clausification #[1735]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True % 15.34/15.56 Clause #1759 (by superposition #[1744, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True) % 15.34/15.56 Clause #1768 (by clausification #[1759]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True % 15.34/15.56 Clause #1784 (by superposition #[1768, 125]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False)) % 15.34/15.56 Clause #1792 (by clausification #[1784]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 15.34/15.56 Clause #1798 (by superposition #[1792, 1768]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True) % 15.34/15.56 Clause #1801 (by clausification #[1798]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True % 15.34/15.56 Clause #1822 (by backward demodulation #[1801, 162]): ∀ (a a_1 a_2 a_3 : Iota), % 15.34/15.56 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)) % 15.34/15.56 Clause #1891 (by clausification #[1723]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True % 15.34/15.56 Clause #1937 (by clausification #[1822]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False) % 15.34/15.56 Clause #1944 (by superposition #[1937, 1891]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq False True) % 15.34/15.56 Clause #1945 (by clausification #[1944]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_2) True % 15.34/15.56 Clause #1947 (by superposition #[1945, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_1) True) % 15.34/15.56 Clause #1956 (by clausification #[1947]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_1) True % 15.34/15.56 Clause #1958 (by superposition #[1956, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_1 a_2) True) % 15.34/15.56 Clause #1963 (by clausification #[1958]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_1 a_2) True % 15.34/15.56 Clause #1964 (by superposition #[1963, 174]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a a_2) True) % 15.34/15.56 Clause #1969 (by clausification #[1964]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a a_2) True % 15.34/15.56 Clause #1972 (by superposition #[1969, 290]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cyclic a_1 a a_1 a_3) False)) % 15.34/15.56 Clause #2246 (by clausification #[1972]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a_1 a a_1 a_3) False) % 15.34/15.56 Clause #2247 (by superposition #[2246, 1969]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True) % 15.34/15.56 Clause #2248 (by clausification #[2247]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True % 15.34/15.56 Clause #2255 (by superposition #[2248, 652]): Eq True False % 15.34/15.56 Clause #2257 (by clausification #[2255]): False % 15.34/15.56 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------