%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO582+1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 07:48:43 PM UTC 2025 % Result : Theorem 181.82s 182.02s % Output : Proof 182.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO582+1 : TPTP v9.2.0. Released v7.5.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 11:20:23 EDT 2025 % 0.12/0.34 % CPUTime : % 181.82/182.02 SZS status Theorem for theBenchmark.p % 181.82/182.02 SZS output start Proof for theBenchmark.p % 181.82/182.02 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True % 181.82/182.02 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True % 181.82/182.02 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True % 181.82/182.02 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True % 181.82/182.02 Clause #4 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para C D A B) True % 181.82/182.02 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True % 181.82/182.02 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True % 181.82/182.02 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 % 181.82/182.02 Clause #13 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A B D C) True % 181.82/182.02 Clause #14 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A C B D) True % 181.82/182.02 Clause #15 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic B A C D) True % 181.82/182.02 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 % 181.82/182.02 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 % 181.82/182.02 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 % 181.82/182.02 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 % 181.82/182.02 Clause #25 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio B A C D P Q U V) True % 181.82/182.02 Clause #26 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio C D A B U V P Q) True % 181.82/182.02 Clause #27 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio P Q U V A B C D) True % 181.82/182.02 Clause #28 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqratio A B C D P Q U V → eqratio A B P Q C D U V) True % 181.82/182.02 Clause #29 (by assumption #[]): Eq % 181.82/182.02 (∀ (A B C D E F G H P Q U V : Iota), % 181.82/182.02 And (eqratio A B C D P Q U V) (eqratio P Q U V E F G H) → eqratio A B C D E F G H) % 181.82/182.02 True % 181.82/182.02 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 % 181.82/182.02 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 % 181.82/182.02 Clause #40 (by assumption #[]): Eq (∀ (A B P Q : Iota), cyclic A B P Q → eqangle P A P B Q A Q B) True % 181.82/182.02 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 % 181.82/182.02 Clause #43 (by assumption #[]): Eq % 181.82/182.02 (∀ (A B C P Q R : Iota), % 181.82/182.02 And (And (And (cyclic A B C P) (cyclic A B C Q)) (cyclic A B C R)) (eqangle C A C B R P R Q) → cong A B P Q) % 181.82/182.02 True % 181.82/182.02 Clause #63 (by assumption #[]): Eq (∀ (A B C D M : Iota), And (midp M A B) (midp M C D) → para A C B D) True % 181.82/182.02 Clause #65 (by assumption #[]): Eq (∀ (A B C D O : Iota), And (And (para A B C D) (coll O A C)) (coll O B D) → eqratio O A A C O B B D) True % 181.82/182.02 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True % 181.82/182.02 Clause #67 (by assumption #[]): Eq (∀ (A B C : Iota), And (cong A B A C) (coll A B C) → midp A B C) True % 181.82/182.02 Clause #75 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), And (eqratio A B C D P Q U V) (cong P Q U V) → cong A B C D) True % 181.82/182.02 Clause #94 (by assumption #[]): Eq % 181.82/182.02 (Not % 181.82/182.02 (∀ (A B C O D A1 C1 NWPNT1 : Iota), % 181.82/182.02 And (And (And (And (And (circle O A B C) (circle O A D NWPNT1)) (perp A B A A1)) (coll A1 C D)) (perp C D C C1)) % 181.82/182.02 (coll C1 A B) → % 181.82/182.02 para D B A1 C1)) % 181.82/182.02 True % 181.82/182.02 Clause #99 (by clausification #[67]): ∀ (a : Iota), Eq (∀ (B C : Iota), And (cong a B a C) (coll a B C) → midp a B C) True % 181.82/182.02 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), And (cong a a_1 a C) (coll a a_1 C) → midp a a_1 C) True % 181.82/182.02 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota), Eq (And (cong a a_1 a a_2) (coll a a_1 a_2) → midp a a_1 a_2) True % 181.82/182.05 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (cong a a_1 a a_2) (coll a a_1 a_2)) False) (Eq (midp a a_1 a_2) True) % 181.82/182.05 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota), Or (Eq (midp a a_1 a_2) True) (Or (Eq (cong a a_1 a a_2) False) (Eq (coll a a_1 a_2) False)) % 181.82/182.05 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True % 181.82/182.05 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True % 181.82/182.05 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 % 181.82/182.05 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) % 181.82/182.05 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True % 181.82/182.05 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True % 181.82/182.05 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 % 181.82/182.05 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) % 181.82/182.05 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True % 181.82/182.05 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True % 181.82/182.05 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 % 181.82/182.05 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) % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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) % 181.82/182.05 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)) % 181.82/182.05 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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) % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 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 % 181.82/182.05 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota), % 181.82/182.05 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) % 181.82/182.05 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota), % 181.82/182.07 Or (Eq (cyclic a a_1 a_2 a_3) True) % 181.82/182.07 (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)) % 181.82/182.07 Clause #170 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic B a C D) True % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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) % 181.82/182.07 Clause #175 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a C B D) True % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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) % 181.82/182.07 Clause #180 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a B D C) True % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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) % 181.82/182.07 Clause #185 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para C D a B) True % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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) % 181.82/182.07 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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) % 181.82/182.07 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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 % 181.82/182.07 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) % 181.82/182.07 Clause #277 (by clausification #[63]): ∀ (a : Iota), Eq (∀ (B C D M : Iota), And (midp M a B) (midp M C D) → para a C B D) True % 181.82/182.07 Clause #278 (by clausification #[277]): ∀ (a a_1 : Iota), Eq (∀ (C D M : Iota), And (midp M a a_1) (midp M C D) → para a C a_1 D) True % 181.82/182.10 Clause #279 (by clausification #[278]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D M : Iota), And (midp M a a_1) (midp M a_2 D) → para a a_2 a_1 D) True % 181.82/182.10 Clause #280 (by clausification #[279]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (M : Iota), And (midp M a a_1) (midp M a_2 a_3) → para a a_2 a_1 a_3) True % 181.82/182.10 Clause #281 (by clausification #[280]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (And (midp a a_1 a_2) (midp a a_3 a_4) → para a_1 a_3 a_2 a_4) True % 181.82/182.10 Clause #282 (by clausification #[281]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (And (midp a a_1 a_2) (midp a a_3 a_4)) False) (Eq (para a_1 a_3 a_2 a_4) True) % 181.82/182.10 Clause #283 (by clausification #[282]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.82/182.10 Or (Eq (para a a_1 a_2 a_3) True) (Or (Eq (midp a_4 a a_2) False) (Eq (midp a_4 a_1 a_3) False)) % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.82/182.10 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) % 181.82/182.10 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.82/182.10 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)) % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.82/182.10 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) % 181.82/182.10 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.82/182.10 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)) % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 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 % 181.82/182.10 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.82/182.10 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 % 181.82/182.10 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.12 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 % 181.92/182.12 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 181.92/182.12 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 % 181.92/182.12 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.12 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 % 181.92/182.12 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.12 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) % 181.92/182.12 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 % 181.92/182.12 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 % 181.92/182.12 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 % 181.92/182.12 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 % 181.92/182.12 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 % 181.92/182.12 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 % 181.92/182.12 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) % 181.92/182.12 Clause #360 (by clausification #[43]): ∀ (a : Iota), % 181.92/182.12 Eq % 181.92/182.12 (∀ (B C P Q R : Iota), % 181.92/182.12 And (And (And (cyclic a B C P) (cyclic a B C Q)) (cyclic a B C R)) (eqangle C a C B R P R Q) → cong a B P Q) % 181.92/182.12 True % 181.92/182.12 Clause #361 (by clausification #[360]): ∀ (a a_1 : Iota), % 181.92/182.12 Eq % 181.92/182.12 (∀ (C P Q R : Iota), % 181.92/182.12 And (And (And (cyclic a a_1 C P) (cyclic a a_1 C Q)) (cyclic a a_1 C R)) (eqangle C a C a_1 R P R Q) → % 181.92/182.12 cong a a_1 P Q) % 181.92/182.12 True % 181.92/182.12 Clause #362 (by clausification #[361]): ∀ (a a_1 a_2 : Iota), % 181.92/182.12 Eq % 181.92/182.12 (∀ (P Q R : Iota), % 181.92/182.12 And (And (And (cyclic a a_1 a_2 P) (cyclic a a_1 a_2 Q)) (cyclic a a_1 a_2 R)) (eqangle a_2 a a_2 a_1 R P R Q) → % 181.92/182.12 cong a a_1 P Q) % 181.92/182.12 True % 181.92/182.12 Clause #363 (by clausification #[362]): ∀ (a a_1 a_2 a_3 : Iota), % 181.92/182.12 Eq % 181.92/182.12 (∀ (Q R : Iota), % 181.92/182.12 And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 Q)) (cyclic a a_1 a_2 R)) % 181.92/182.12 (eqangle a_2 a a_2 a_1 R a_3 R Q) → % 181.92/182.12 cong a a_1 a_3 Q) % 181.92/182.12 True % 181.92/182.12 Clause #364 (by clausification #[363]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.92/182.12 Eq % 181.92/182.12 (∀ (R : Iota), % 181.92/182.12 And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) (cyclic a a_1 a_2 R)) % 181.92/182.12 (eqangle a_2 a a_2 a_1 R a_3 R a_4) → % 181.92/182.12 cong a a_1 a_3 a_4) % 181.92/182.12 True % 181.92/182.12 Clause #365 (by clausification #[364]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.12 Eq % 181.92/182.12 (And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) (cyclic a a_1 a_2 a_5)) % 181.92/182.12 (eqangle a_2 a a_2 a_1 a_5 a_3 a_5 a_4) → % 181.92/182.12 cong a a_1 a_3 a_4) % 181.92/182.12 True % 181.92/182.12 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.12 Or % 181.92/182.12 (Eq % 181.92/182.12 (And (And (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) (cyclic a a_1 a_2 a_5)) % 181.92/182.12 (eqangle a_2 a a_2 a_1 a_5 a_3 a_5 a_4)) % 181.92/182.12 False) % 181.92/182.12 (Eq (cong a a_1 a_3 a_4) True) % 181.92/182.12 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.12 Or (Eq (cong a a_1 a_2 a_3) True) % 181.92/182.12 (Or (Eq (And (And (cyclic a a_1 a_4 a_2) (cyclic a a_1 a_4 a_3)) (cyclic a a_1 a_4 a_5)) False) % 181.92/182.12 (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False)) % 181.92/182.12 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.12 Or (Eq (cong a a_1 a_2 a_3) True) % 181.92/182.12 (Or (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False) % 181.92/182.12 (Or (Eq (And (cyclic a a_1 a_4 a_2) (cyclic a a_1 a_4 a_3)) False) (Eq (cyclic a a_1 a_4 a_5) False))) % 181.92/182.12 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.15 Or (Eq (cong a a_1 a_2 a_3) True) % 181.92/182.15 (Or (Eq (eqangle a_4 a a_4 a_1 a_5 a_2 a_5 a_3) False) % 181.92/182.15 (Or (Eq (cyclic a a_1 a_4 a_5) False) (Or (Eq (cyclic a a_1 a_4 a_2) False) (Eq (cyclic a a_1 a_4 a_3) False)))) % 181.92/182.15 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 % 181.92/182.15 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 % 181.92/182.15 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 % 181.92/182.15 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 % 181.92/182.15 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.92/182.15 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 % 181.92/182.15 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.15 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 % 181.92/182.15 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 181.92/182.15 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 % 181.92/182.15 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.15 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 % 181.92/182.15 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.15 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) % 181.92/182.15 Clause #458 (by clausification #[75]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), And (eqratio a B C D P Q U V) (cong P Q U V) → cong a B C D) True % 181.92/182.15 Clause #459 (by clausification #[458]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), And (eqratio a a_1 C D P Q U V) (cong P Q U V) → cong a a_1 C D) True % 181.92/182.15 Clause #460 (by clausification #[459]): ∀ (a a_1 a_2 : Iota), % 181.92/182.15 Eq (∀ (D P Q U V : Iota), And (eqratio a a_1 a_2 D P Q U V) (cong P Q U V) → cong a a_1 a_2 D) True % 181.92/182.15 Clause #461 (by clausification #[460]): ∀ (a a_1 a_2 a_3 : Iota), % 181.92/182.15 Eq (∀ (P Q U V : Iota), And (eqratio a a_1 a_2 a_3 P Q U V) (cong P Q U V) → cong a a_1 a_2 a_3) True % 181.92/182.15 Clause #462 (by clausification #[461]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.92/182.15 Eq (∀ (Q U V : Iota), And (eqratio a a_1 a_2 a_3 a_4 Q U V) (cong a_4 Q U V) → cong a a_1 a_2 a_3) True % 181.92/182.15 Clause #463 (by clausification #[462]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.15 Eq (∀ (U V : Iota), And (eqratio a a_1 a_2 a_3 a_4 a_5 U V) (cong a_4 a_5 U V) → cong a a_1 a_2 a_3) True % 181.92/182.15 Clause #464 (by clausification #[463]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 181.92/182.15 Eq (∀ (V : Iota), And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V) (cong a_4 a_5 a_6 V) → cong a a_1 a_2 a_3) True % 181.92/182.15 Clause #465 (by clausification #[464]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.15 Eq (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (cong a_4 a_5 a_6 a_7) → cong a a_1 a_2 a_3) True % 181.92/182.15 Clause #466 (by clausification #[465]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.15 Or (Eq (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (cong a_4 a_5 a_6 a_7)) False) (Eq (cong a a_1 a_2 a_3) True) % 181.92/182.15 Clause #467 (by clausification #[466]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.15 Or (Eq (cong a a_1 a_2 a_3) True) % 181.92/182.15 (Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (cong a_4 a_5 a_6 a_7) False)) % 181.92/182.15 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 % 181.92/182.15 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 % 181.92/182.15 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 % 181.92/182.15 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 % 181.92/182.17 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 181.92/182.17 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 % 181.92/182.17 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 181.92/182.17 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 % 181.92/182.17 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 181.92/182.17 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 % 181.92/182.17 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.17 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 % 181.92/182.17 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 181.92/182.17 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) % 181.92/182.17 Clause #515 (by clausification #[40]): ∀ (a : Iota), Eq (∀ (B P Q : Iota), cyclic a B P Q → eqangle P a P B Q a Q B) True % 181.92/182.17 Clause #516 (by clausification #[515]): ∀ (a a_1 : Iota), Eq (∀ (P Q : Iota), cyclic a a_1 P Q → eqangle P a P a_1 Q a Q a_1) True % 181.92/182.17 Clause #517 (by clausification #[516]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Q : Iota), cyclic a a_1 a_2 Q → eqangle a_2 a a_2 a_1 Q a Q a_1) True % 181.92/182.17 Clause #518 (by clausification #[517]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) True % 181.92/182.17 Clause #519 (by clausification #[518]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) True) % 181.92/182.17 Clause #547 (by clausification #[94]): Eq % 181.92/182.17 (∀ (A B C O D A1 C1 NWPNT1 : Iota), % 181.92/182.17 And (And (And (And (And (circle O A B C) (circle O A D NWPNT1)) (perp A B A A1)) (coll A1 C D)) (perp C D C C1)) % 181.92/182.17 (coll C1 A B) → % 181.92/182.17 para D B A1 C1) % 181.92/182.17 False % 181.92/182.17 Clause #548 (by clausification #[547]): ∀ (a : Iota), % 181.92/182.17 Eq % 181.92/182.17 (Not % 181.92/182.17 (∀ (B C O D A1 C1 NWPNT1 : Iota), % 181.92/182.17 And % 181.92/182.17 (And % 181.92/182.17 (And % 181.92/182.17 (And (And (circle O (skS.0 4 a) B C) (circle O (skS.0 4 a) D NWPNT1)) % 181.92/182.17 (perp (skS.0 4 a) B (skS.0 4 a) A1)) % 181.92/182.17 (coll A1 C D)) % 181.92/182.17 (perp C D C C1)) % 181.92/182.17 (coll C1 (skS.0 4 a) B) → % 181.92/182.17 para D B A1 C1)) % 181.92/182.17 True % 181.92/182.17 Clause #549 (by clausification #[548]): ∀ (a : Iota), % 181.92/182.17 Eq % 181.92/182.17 (∀ (B C O D A1 C1 NWPNT1 : Iota), % 181.92/182.17 And % 181.92/182.17 (And % 181.92/182.17 (And % 181.92/182.17 (And (And (circle O (skS.0 4 a) B C) (circle O (skS.0 4 a) D NWPNT1)) (perp (skS.0 4 a) B (skS.0 4 a) A1)) % 181.92/182.17 (coll A1 C D)) % 181.92/182.17 (perp C D C C1)) % 181.92/182.17 (coll C1 (skS.0 4 a) B) → % 181.92/182.17 para D B A1 C1) % 181.92/182.17 False % 181.92/182.17 Clause #550 (by clausification #[549]): ∀ (a a_1 : Iota), % 181.92/182.17 Eq % 181.92/182.17 (Not % 181.92/182.17 (∀ (C O D A1 C1 NWPNT1 : Iota), % 181.92/182.17 And % 181.92/182.17 (And % 181.92/182.17 (And % 181.92/182.17 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) C) (circle O (skS.0 4 a) D NWPNT1)) % 181.92/182.17 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 181.92/182.17 (coll A1 C D)) % 181.92/182.17 (perp C D C C1)) % 181.92/182.17 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 181.92/182.17 para D (skS.0 5 a a_1) A1 C1)) % 181.92/182.17 True % 181.92/182.17 Clause #551 (by clausification #[550]): ∀ (a a_1 : Iota), % 181.92/182.17 Eq % 181.92/182.17 (∀ (C O D A1 C1 NWPNT1 : Iota), % 181.92/182.17 And % 181.92/182.17 (And % 181.92/182.17 (And % 181.92/182.17 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) C) (circle O (skS.0 4 a) D NWPNT1)) % 181.92/182.17 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 181.92/182.17 (coll A1 C D)) % 181.92/182.17 (perp C D C C1)) % 181.92/182.17 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 181.92/182.17 para D (skS.0 5 a a_1) A1 C1) % 181.92/182.17 False % 181.92/182.17 Clause #552 (by clausification #[551]): ∀ (a a_1 a_2 : Iota), % 181.92/182.17 Eq % 181.92/182.17 (Not % 181.92/182.17 (∀ (O D A1 C1 NWPNT1 : Iota), % 181.92/182.17 And % 181.92/182.17 (And % 181.92/182.17 (And % 181.92/182.17 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) (circle O (skS.0 4 a) D NWPNT1)) % 181.92/182.17 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 182.00/182.19 (coll A1 (skS.0 6 a a_1 a_2) D)) % 182.00/182.19 (perp (skS.0 6 a a_1 a_2) D (skS.0 6 a a_1 a_2) C1)) % 182.00/182.19 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.19 para D (skS.0 5 a a_1) A1 C1)) % 182.00/182.19 True % 182.00/182.19 Clause #553 (by clausification #[552]): ∀ (a a_1 a_2 : Iota), % 182.00/182.19 Eq % 182.00/182.19 (∀ (O D A1 C1 NWPNT1 : Iota), % 182.00/182.19 And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) (circle O (skS.0 4 a) D NWPNT1)) % 182.00/182.19 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 182.00/182.19 (coll A1 (skS.0 6 a a_1 a_2) D)) % 182.00/182.19 (perp (skS.0 6 a a_1 a_2) D (skS.0 6 a a_1 a_2) C1)) % 182.00/182.19 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.19 para D (skS.0 5 a a_1) A1 C1) % 182.00/182.19 False % 182.00/182.19 Clause #554 (by clausification #[553]): ∀ (a a_1 a_2 a_3 : Iota), % 182.00/182.19 Eq % 182.00/182.19 (Not % 182.00/182.19 (∀ (D A1 C1 NWPNT1 : Iota), % 182.00/182.19 And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.19 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) D NWPNT1)) % 182.00/182.19 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 182.00/182.19 (coll A1 (skS.0 6 a a_1 a_2) D)) % 182.00/182.19 (perp (skS.0 6 a a_1 a_2) D (skS.0 6 a a_1 a_2) C1)) % 182.00/182.19 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.19 para D (skS.0 5 a a_1) A1 C1)) % 182.00/182.19 True % 182.00/182.19 Clause #555 (by clausification #[554]): ∀ (a a_1 a_2 a_3 : Iota), % 182.00/182.19 Eq % 182.00/182.19 (∀ (D A1 C1 NWPNT1 : Iota), % 182.00/182.19 And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.19 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) D NWPNT1)) % 182.00/182.19 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 182.00/182.19 (coll A1 (skS.0 6 a a_1 a_2) D)) % 182.00/182.19 (perp (skS.0 6 a a_1 a_2) D (skS.0 6 a a_1 a_2) C1)) % 182.00/182.19 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.19 para D (skS.0 5 a a_1) A1 C1) % 182.00/182.19 False % 182.00/182.19 Clause #556 (by clausification #[555]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.19 Eq % 182.00/182.19 (Not % 182.00/182.19 (∀ (A1 C1 NWPNT1 : Iota), % 182.00/182.19 And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.19 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 182.00/182.19 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 182.00/182.19 (coll A1 (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.19 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) C1)) % 182.00/182.19 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.19 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) A1 C1)) % 182.00/182.19 True % 182.00/182.19 Clause #557 (by clausification #[556]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.19 Eq % 182.00/182.19 (∀ (A1 C1 NWPNT1 : Iota), % 182.00/182.19 And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.19 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 182.00/182.19 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) A1)) % 182.00/182.19 (coll A1 (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.19 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) C1)) % 182.00/182.19 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.19 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) A1 C1) % 182.00/182.19 False % 182.00/182.19 Clause #558 (by clausification #[557]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.00/182.19 Eq % 182.00/182.19 (Not % 182.00/182.19 (∀ (C1 NWPNT1 : Iota), % 182.00/182.19 And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And % 182.00/182.19 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.19 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 182.00/182.19 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.19 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.22 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) C1)) % 182.00/182.22 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.22 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) C1)) % 182.00/182.22 True % 182.00/182.22 Clause #559 (by clausification #[558]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.00/182.22 Eq % 182.00/182.22 (∀ (C1 NWPNT1 : Iota), % 182.00/182.22 And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.22 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 182.00/182.22 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.22 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.22 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) C1)) % 182.00/182.22 (coll C1 (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.22 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) C1) % 182.00/182.22 False % 182.00/182.22 Clause #560 (by clausification #[559]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.22 Eq % 182.00/182.22 (Not % 182.00/182.22 (∀ (NWPNT1 : Iota), % 182.00/182.22 And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.22 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 182.00/182.22 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.22 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.22 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) % 182.00/182.22 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.22 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.22 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) % 182.00/182.22 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.22 True % 182.00/182.22 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.22 Eq % 182.00/182.22 (∀ (NWPNT1 : Iota), % 182.00/182.22 And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.22 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 182.00/182.22 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.22 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.22 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) % 182.00/182.22 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.22 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.22 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) % 182.00/182.22 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 182.00/182.22 False % 182.00/182.22 Clause #562 (by clausification #[561]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.22 Eq % 182.00/182.22 (Not % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And % 182.00/182.22 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.22 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 182.00/182.22 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 182.00/182.22 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.22 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.22 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) % 182.00/182.22 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.22 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.22 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) % 182.00/182.22 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.22 True % 182.00/182.22 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.24 Eq % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.24 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 182.00/182.24 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 182.00/182.24 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.24 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.24 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) % 182.00/182.24 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.24 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1)) → % 182.00/182.24 para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) % 182.00/182.24 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 182.00/182.24 False % 182.00/182.24 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.24 Eq % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.24 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 182.00/182.24 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 182.00/182.24 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.24 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.24 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.24 (coll (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 4 a) (skS.0 5 a a_1))) % 182.00/182.24 True % 182.00/182.24 Clause #565 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.24 Eq % 182.00/182.24 (para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) % 182.00/182.24 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 182.00/182.24 False % 182.00/182.24 Clause #567 (by clausification #[564]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.24 Eq % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And % 182.00/182.24 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 182.00/182.24 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 182.00/182.24 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 182.00/182.24 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 182.00/182.24 (coll (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4))) % 182.00/182.24 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 182.00/182.24 True % 182.00/182.24 Clause #572 (by clausification #[65]): ∀ (a : Iota), Eq (∀ (B C D O : Iota), And (And (para a B C D) (coll O a C)) (coll O B D) → eqratio O a a C O B B D) True % 182.00/182.24 Clause #573 (by clausification #[572]): ∀ (a a_1 : Iota), % 182.00/182.24 Eq (∀ (C D O : Iota), And (And (para a a_1 C D) (coll O a C)) (coll O a_1 D) → eqratio O a a C O a_1 a_1 D) True % 182.00/182.24 Clause #574 (by clausification #[573]): ∀ (a a_1 a_2 : Iota), % 182.00/182.24 Eq (∀ (D O : Iota), And (And (para a a_1 a_2 D) (coll O a a_2)) (coll O a_1 D) → eqratio O a a a_2 O a_1 a_1 D) True % 182.00/182.24 Clause #575 (by clausification #[574]): ∀ (a a_1 a_2 a_3 : Iota), % 182.00/182.24 Eq (∀ (O : Iota), And (And (para a a_1 a_2 a_3) (coll O a a_2)) (coll O a_1 a_3) → eqratio O a a a_2 O a_1 a_1 a_3) % 182.00/182.24 True % 182.00/182.24 Clause #576 (by clausification #[575]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.24 Eq (And (And (para a a_1 a_2 a_3) (coll a_4 a a_2)) (coll a_4 a_1 a_3) → eqratio a_4 a a a_2 a_4 a_1 a_1 a_3) True % 182.00/182.24 Clause #577 (by clausification #[576]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.24 Or (Eq (And (And (para a a_1 a_2 a_3) (coll a_4 a a_2)) (coll a_4 a_1 a_3)) False) % 182.00/182.24 (Eq (eqratio a_4 a a a_2 a_4 a_1 a_1 a_3) True) % 182.00/182.24 Clause #578 (by clausification #[577]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.24 Or (Eq (eqratio a a_1 a_1 a_2 a a_3 a_3 a_4) True) % 182.00/182.24 (Or (Eq (And (para a_1 a_3 a_2 a_4) (coll a a_1 a_2)) False) (Eq (coll a a_3 a_4) False)) % 182.00/182.24 Clause #579 (by clausification #[578]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.24 Or (Eq (eqratio a a_1 a_1 a_2 a a_3 a_3 a_4) True) % 182.00/182.24 (Or (Eq (coll a a_3 a_4) False) (Or (Eq (para a_1 a_3 a_2 a_4) False) (Eq (coll a a_1 a_2) False))) % 182.00/182.26 Clause #608 (by clausification #[25]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio B a C D P Q U V) True % 182.00/182.26 Clause #609 (by clausification #[608]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio a_1 a C D P Q U V) True % 182.00/182.26 Clause #610 (by clausification #[609]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio a_1 a a_2 D P Q U V) True % 182.00/182.26 Clause #611 (by clausification #[610]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio a_1 a a_2 a_3 P Q U V) True % 182.00/182.26 Clause #612 (by clausification #[611]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.26 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a_1 a a_2 a_3 a_4 Q U V) True % 182.00/182.26 Clause #613 (by clausification #[612]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.00/182.26 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a_1 a a_2 a_3 a_4 a_5 U V) True % 182.00/182.26 Clause #614 (by clausification #[613]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.26 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a_1 a a_2 a_3 a_4 a_5 a_6 V) True % 182.00/182.26 Clause #615 (by clausification #[614]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.26 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True % 182.00/182.26 Clause #616 (by clausification #[615]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.26 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True) % 182.00/182.26 Clause #625 (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 % 182.00/182.26 Clause #626 (by clausification #[625]): ∀ (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 % 182.00/182.26 Clause #627 (by clausification #[626]): ∀ (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 % 182.00/182.26 Clause #628 (by clausification #[627]): ∀ (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 % 182.00/182.26 Clause #629 (by clausification #[628]): ∀ (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 % 182.00/182.26 Clause #630 (by clausification #[629]): ∀ (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 % 182.00/182.26 Clause #631 (by clausification #[630]): ∀ (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) % 182.00/182.26 Clause #657 (by clausification #[26]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio C D a B U V P Q) True % 182.00/182.26 Clause #658 (by clausification #[657]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio C D a a_1 U V P Q) True % 182.00/182.26 Clause #659 (by clausification #[658]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio a_2 D a a_1 U V P Q) True % 182.00/182.26 Clause #660 (by clausification #[659]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio a_2 a_3 a a_1 U V P Q) True % 182.00/182.26 Clause #661 (by clausification #[660]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.26 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a_2 a_3 a a_1 U V a_4 Q) True % 182.00/182.26 Clause #662 (by clausification #[661]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.00/182.26 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a_2 a_3 a a_1 U V a_4 a_5) True % 182.00/182.26 Clause #663 (by clausification #[662]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.26 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a_2 a_3 a a_1 a_6 V a_4 a_5) True % 182.00/182.26 Clause #664 (by clausification #[663]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.26 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True % 182.00/182.26 Clause #665 (by clausification #[664]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.26 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a_2 a_3 a a_1 a_6 a_7 a_4 a_5) True) % 182.00/182.29 Clause #712 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio P Q U V a B C D) True % 182.00/182.29 Clause #713 (by clausification #[712]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio P Q U V a a_1 C D) True % 182.00/182.29 Clause #714 (by clausification #[713]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio P Q U V a a_1 a_2 D) True % 182.00/182.29 Clause #715 (by clausification #[714]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio P Q U V a a_1 a_2 a_3) True % 182.00/182.29 Clause #716 (by clausification #[715]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.29 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a_4 Q U V a a_1 a_2 a_3) True % 182.00/182.29 Clause #717 (by clausification #[716]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.00/182.29 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a_4 a_5 U V a a_1 a_2 a_3) True % 182.00/182.29 Clause #718 (by clausification #[717]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.29 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a_4 a_5 a_6 V a a_1 a_2 a_3) True % 182.00/182.29 Clause #719 (by clausification #[718]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.29 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True % 182.00/182.29 Clause #720 (by clausification #[719]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.29 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True) % 182.00/182.29 Clause #730 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqratio a B C D P Q U V → eqratio a B P Q C D U V) True % 182.00/182.29 Clause #731 (by clausification #[730]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqratio a a_1 C D P Q U V → eqratio a a_1 P Q C D U V) True % 182.00/182.29 Clause #732 (by clausification #[731]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqratio a a_1 a_2 D P Q U V → eqratio a a_1 P Q a_2 D U V) True % 182.00/182.29 Clause #733 (by clausification #[732]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqratio a a_1 a_2 a_3 P Q U V → eqratio a a_1 P Q a_2 a_3 U V) True % 182.00/182.29 Clause #734 (by clausification #[733]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.29 Eq (∀ (Q U V : Iota), eqratio a a_1 a_2 a_3 a_4 Q U V → eqratio a a_1 a_4 Q a_2 a_3 U V) True % 182.00/182.29 Clause #735 (by clausification #[734]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.00/182.29 Eq (∀ (U V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 U V → eqratio a a_1 a_4 a_5 a_2 a_3 U V) True % 182.00/182.29 Clause #736 (by clausification #[735]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.00/182.29 Eq (∀ (V : Iota), eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V → eqratio a a_1 a_4 a_5 a_2 a_3 a_6 V) True % 182.00/182.29 Clause #737 (by clausification #[736]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.29 Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqratio a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True % 182.00/182.29 Clause #738 (by clausification #[737]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.00/182.29 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqratio a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True) % 182.00/182.29 Clause #778 (by clausification #[29]): ∀ (a : Iota), % 182.00/182.29 Eq % 182.00/182.29 (∀ (B C D E F G H P Q U V : Iota), % 182.00/182.29 And (eqratio a B C D P Q U V) (eqratio P Q U V E F G H) → eqratio a B C D E F G H) % 182.00/182.29 True % 182.00/182.29 Clause #779 (by clausification #[778]): ∀ (a a_1 : Iota), % 182.00/182.29 Eq % 182.00/182.29 (∀ (C D E F G H P Q U V : Iota), % 182.00/182.29 And (eqratio a a_1 C D P Q U V) (eqratio P Q U V E F G H) → eqratio a a_1 C D E F G H) % 182.00/182.29 True % 182.00/182.29 Clause #780 (by clausification #[779]): ∀ (a a_1 a_2 : Iota), % 182.00/182.29 Eq % 182.00/182.29 (∀ (D E F G H P Q U V : Iota), % 182.00/182.29 And (eqratio a a_1 a_2 D P Q U V) (eqratio P Q U V E F G H) → eqratio a a_1 a_2 D E F G H) % 182.00/182.29 True % 182.00/182.29 Clause #781 (by clausification #[780]): ∀ (a a_1 a_2 a_3 : Iota), % 182.00/182.29 Eq % 182.00/182.29 (∀ (E F G H P Q U V : Iota), % 182.00/182.29 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V E F G H) → eqratio a a_1 a_2 a_3 E F G H) % 182.00/182.29 True % 182.00/182.29 Clause #782 (by clausification #[781]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.00/182.29 Eq % 182.00/182.29 (∀ (F G H P Q U V : Iota), % 182.00/182.29 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 F G H) → eqratio a a_1 a_2 a_3 a_4 F G H) % 182.13/182.32 True % 182.13/182.32 Clause #783 (by clausification #[782]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (∀ (G H P Q U V : Iota), % 182.13/182.32 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 a_5 G H) → eqratio a a_1 a_2 a_3 a_4 a_5 G H) % 182.13/182.32 True % 182.13/182.32 Clause #784 (by clausification #[783]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (∀ (H P Q U V : Iota), % 182.13/182.32 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 a_5 a_6 H) → eqratio a a_1 a_2 a_3 a_4 a_5 a_6 H) % 182.13/182.32 True % 182.13/182.32 Clause #785 (by clausification #[784]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (∀ (P Q U V : Iota), % 182.13/182.32 And (eqratio a a_1 a_2 a_3 P Q U V) (eqratio P Q U V a_4 a_5 a_6 a_7) → eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 182.13/182.32 True % 182.13/182.32 Clause #786 (by clausification #[785]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (∀ (Q U V : Iota), % 182.13/182.32 And (eqratio a a_1 a_2 a_3 a_4 Q U V) (eqratio a_4 Q U V a_5 a_6 a_7 a_8) → eqratio a a_1 a_2 a_3 a_5 a_6 a_7 a_8) % 182.13/182.32 True % 182.13/182.32 Clause #787 (by clausification #[786]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (∀ (U V : Iota), % 182.13/182.32 And (eqratio a a_1 a_2 a_3 a_4 a_5 U V) (eqratio a_4 a_5 U V a_6 a_7 a_8 a_9) → % 182.13/182.32 eqratio a a_1 a_2 a_3 a_6 a_7 a_8 a_9) % 182.13/182.32 True % 182.13/182.32 Clause #788 (by clausification #[787]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (∀ (V : Iota), % 182.13/182.32 And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 V) (eqratio a_4 a_5 a_6 V a_7 a_8 a_9 a_10) → % 182.13/182.32 eqratio a a_1 a_2 a_3 a_7 a_8 a_9 a_10) % 182.13/182.32 True % 182.13/182.32 Clause #789 (by clausification #[788]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 182.13/182.32 Eq % 182.13/182.32 (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (eqratio a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11) → % 182.13/182.32 eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11) % 182.13/182.32 True % 182.13/182.32 Clause #790 (by clausification #[789]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 182.13/182.32 Or (Eq (And (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (eqratio a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) False) % 182.13/182.32 (Eq (eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11) True) % 182.13/182.32 Clause #791 (by clausification #[790]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 182.13/182.32 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True) % 182.13/182.32 (Or (Eq (eqratio a a_1 a_2 a_3 a_8 a_9 a_10 a_11) False) (Eq (eqratio a_8 a_9 a_10 a_11 a_4 a_5 a_6 a_7) False)) % 182.13/182.32 Clause #881 (by clausification #[567]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.32 Eq (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 182.13/182.32 True % 182.13/182.32 Clause #884 (by superposition #[881, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.32 Or (Eq True False) % 182.13/182.32 (Eq (perp (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) % 182.13/182.32 True) % 182.13/182.32 Clause #885 (by superposition #[881, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 182.13/182.32 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6) True) % 182.13/182.32 (Or (Eq True False) (Eq (perp (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_7 a_8) a_5 a_6) False)) % 182.13/182.32 Clause #1586 (by clausification #[884]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.32 Eq (perp (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) % 182.13/182.32 True % 182.13/182.32 Clause #1587 (by superposition #[1586, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.32 Or (Eq True False) % 182.13/182.32 (Eq (perp (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) % 182.13/182.32 True) % 182.13/182.32 Clause #1599 (by clausification #[1587]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.32 Eq (perp (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) % 182.13/182.32 True % 182.13/182.32 Clause #1754 (by clausification #[885]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 182.13/182.32 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6) True) % 182.13/182.32 (Eq (perp (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_7 a_8) a_5 a_6) False) % 182.13/182.32 Clause #1756 (by superposition #[1754, 1599]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.13/182.32 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True) % 182.13/182.34 (Eq False True) % 182.13/182.34 Clause #1766 (by clausification #[1756]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.13/182.34 Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True % 182.13/182.34 Clause #1769 (by superposition #[1766, 189]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq (para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True) % 182.13/182.34 Clause #1773 (by clausification #[1769]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.13/182.34 Eq (para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True % 182.13/182.34 Clause #1775 (by superposition #[1773, 156]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq (para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True) % 182.13/182.34 Clause #1780 (by clausification #[1775]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 182.13/182.34 Eq (para (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True % 182.13/182.34 Clause #1785 (by superposition #[1780, 631]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq % 182.13/182.34 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) a_5 a_6 (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) % 182.13/182.34 a_5 a_6) % 182.13/182.34 True) % 182.13/182.34 Clause #2047 (by clausification #[1785]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Eq % 182.13/182.34 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) a_5 a_6 (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) a_5 % 182.13/182.34 a_6) % 182.13/182.34 True % 182.13/182.34 Clause #2055 (by superposition #[2047, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq % 182.13/182.34 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) a_5 a_6 % 182.13/182.34 a_5 a_6) % 182.13/182.34 True) % 182.13/182.34 Clause #2059 (by clausification #[2055]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Eq % 182.13/182.34 (eqangle (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) a_5 a_6 a_5 % 182.13/182.34 a_6) % 182.13/182.34 True % 182.13/182.34 Clause #2065 (by superposition #[2059, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq % 182.13/182.34 (eqangle a a_1 a a_1 (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) % 182.13/182.34 (skS.0 6 a_2 a_3 a_4)) % 182.13/182.34 True) % 182.13/182.34 Clause #2081 (by clausification #[2065]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Eq % 182.13/182.34 (eqangle a a_1 a a_1 (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) % 182.13/182.34 (skS.0 6 a_2 a_3 a_4)) % 182.13/182.34 True % 182.13/182.34 Clause #2085 (by superposition #[2081, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq % 182.13/182.34 (eqangle a a_1 a_1 a (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) % 182.13/182.34 (skS.0 6 a_2 a_3 a_4)) % 182.13/182.34 True) % 182.13/182.34 Clause #2092 (by clausification #[2085]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Eq % 182.13/182.34 (eqangle a a_1 a_1 a (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) % 182.13/182.34 (skS.0 6 a_2 a_3 a_4)) % 182.13/182.34 True % 182.13/182.34 Clause #2099 (by superposition #[2092, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Or (Eq True False) % 182.13/182.34 (Eq % 182.13/182.34 (eqangle a a_1 (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) a_1 a (skS.0 8 a_2 a_3 a_4 a_5 a_6) % 182.13/182.34 (skS.0 6 a_2 a_3 a_4)) % 182.13/182.34 True) % 182.13/182.34 Clause #2104 (by clausification #[2099]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 182.13/182.34 Eq % 182.13/182.34 (eqangle a a_1 (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) a_1 a (skS.0 8 a_2 a_3 a_4 a_5 a_6) % 182.13/182.34 (skS.0 6 a_2 a_3 a_4)) % 182.13/182.34 True % 182.13/182.34 Clause #2108 (by superposition #[2104, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True) % 182.13/182.34 Clause #2117 (by clausification #[2108]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True % 182.13/182.34 Clause #2131 (by superposition #[2117, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True) % 182.13/182.34 Clause #2155 (by clausification #[2131]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True % 182.13/182.34 Clause #2156 (by superposition #[2155, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True) % 182.13/182.34 Clause #2160 (by superposition #[2155, 631]): ∀ (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) % 182.13/182.37 Clause #2161 (by clausification #[2156]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True % 182.13/182.37 Clause #2179 (by superposition #[2161, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True) % 182.13/182.37 Clause #2188 (by clausification #[2179]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True % 182.13/182.37 Clause #2207 (by superposition #[2188, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True) % 182.13/182.37 Clause #2216 (by clausification #[2207]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True % 182.13/182.37 Clause #2235 (by superposition #[2216, 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)) % 182.13/182.37 Clause #2237 (by superposition #[2216, 579]): ∀ (a a_1 a_2 a_3 : Iota), % 182.13/182.37 Or (Eq (eqratio a a_1 a_1 a_2 a a a a_3) True) % 182.13/182.37 (Or (Eq True False) (Or (Eq (para a_1 a a_2 a_3) False) (Eq (coll a a_1 a_2) False))) % 182.13/182.37 Clause #2256 (by clausification #[2160]): ∀ (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 % 182.13/182.37 Clause #2258 (by superposition #[2256, 162]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False)) % 182.13/182.37 Clause #2338 (by clausification #[2235]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 182.13/182.37 Clause #2347 (by superposition #[2338, 2216]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True) % 182.13/182.37 Clause #2348 (by clausification #[2347]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True % 182.13/182.37 Clause #2370 (by backward demodulation #[2348, 103]): ∀ (a a_1 a_2 : Iota), Or (Eq (midp a a_1 a_2) True) (Or (Eq (cong a a_1 a a_2) False) (Eq True False)) % 182.13/182.37 Clause #2472 (by clausification #[2258]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 182.13/182.37 Clause #2473 (by forward demodulation #[2472, 2348]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq True False) % 182.13/182.37 Clause #2474 (by clausification #[2473]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_2) True % 182.13/182.37 Clause #2476 (by superposition #[2474, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_1) True) % 182.13/182.37 Clause #2481 (by clausification #[2476]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_1) True % 182.13/182.37 Clause #2483 (by superposition #[2481, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_1 a_2) True) % 182.13/182.37 Clause #2488 (by clausification #[2483]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_1 a_2) True % 182.13/182.37 Clause #2489 (by superposition #[2488, 174]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a a_2) True) % 182.13/182.37 Clause #2494 (by clausification #[2489]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a a_2) True % 182.13/182.37 Clause #2497 (by superposition #[2494, 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)) % 182.13/182.37 Clause #2498 (by superposition #[2494, 519]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (eqangle a a a a_1 a_2 a a_2 a_1) True) % 182.13/182.37 Clause #2678 (by clausification #[2498]): ∀ (a a_1 a_2 : Iota), Eq (eqangle a a a a_1 a_2 a a_2 a_1) True % 182.13/182.37 Clause #2679 (by superposition #[2678, 369]): ∀ (a a_1 a_2 : Iota), % 182.13/182.37 Or (Eq (cong a a_1 a a_1) True) % 182.13/182.37 (Or (Eq True False) % 182.13/182.37 (Or (Eq (cyclic a a_1 a a_2) False) (Or (Eq (cyclic a a_1 a a) False) (Eq (cyclic a a_1 a a_1) False)))) % 182.13/182.37 Clause #2708 (by clausification #[2370]): ∀ (a a_1 a_2 : Iota), Or (Eq (midp a a_1 a_2) True) (Eq (cong a a_1 a a_2) False) % 182.13/182.37 Clause #2827 (by clausification #[2497]): ∀ (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) % 182.13/182.37 Clause #2831 (by superposition #[2827, 2494]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True) % 182.13/182.37 Clause #2832 (by clausification #[2831]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True % 182.13/182.37 Clause #3377 (by clausification #[2237]): ∀ (a a_1 a_2 a_3 : Iota), % 182.13/182.37 Or (Eq (eqratio a a_1 a_1 a_2 a a a a_3) True) (Or (Eq (para a_1 a a_2 a_3) False) (Eq (coll a a_1 a_2) False)) % 182.13/182.37 Clause #3378 (by forward demodulation #[3377, 2348]): ∀ (a a_1 a_2 a_3 : Iota), % 182.13/182.39 Or (Eq (eqratio a a_1 a_1 a_2 a a a a_3) True) (Or (Eq (para a_1 a a_2 a_3) False) (Eq True False)) % 182.13/182.39 Clause #3379 (by clausification #[3378]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a_1 a_1 a_2 a a a a_3) True) (Eq (para a_1 a a_2 a_3) False) % 182.13/182.39 Clause #3380 (by superposition #[3379, 2117]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a_1 a_1 a a a a a_1) True) (Eq False True) % 182.13/182.39 Clause #3458 (by clausification #[3380]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a a a a_1) True % 182.13/182.39 Clause #3463 (by superposition #[3458, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a_1 a a a_1) True) % 182.13/182.39 Clause #3465 (by clausification #[3463]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a_1 a a a_1) True % 182.13/182.39 Clause #3467 (by superposition #[3465, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a a_1 a_1 a) True) % 182.13/182.39 Clause #3471 (by clausification #[3467]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a a_1 a_1 a) True % 182.13/182.39 Clause #3474 (by superposition #[3471, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a a_1 a_1 a_1) True) % 182.13/182.39 Clause #3476 (by clausification #[3474]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a a_1 a_1 a_1) True % 182.13/182.39 Clause #3479 (by superposition #[3476, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a a a_1 a) True) % 182.13/182.39 Clause #3480 (by superposition #[3476, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a_1 a_1 a a_1 a_1) True) % 182.13/182.39 Clause #3482 (by clausification #[3480]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a_1 a_1 a a_1 a_1) True % 182.13/182.39 Clause #3484 (by superposition #[3482, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a a_1 a a) True) % 182.13/182.39 Clause #3500 (by clausification #[3484]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a a_1 a a) True % 182.13/182.39 Clause #3502 (by superposition #[3500, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a_1 a_1 a_1 a) True) % 182.13/182.39 Clause #3503 (by superposition #[3500, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a a_1 a_1 a) True) % 182.13/182.39 Clause #3505 (by clausification #[3503]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a a_1 a_1 a) True % 182.13/182.39 Clause #3508 (by superposition #[3505, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a_1 a_1 a a a_1) True) % 182.13/182.39 Clause #3571 (by clausification #[3508]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a_1 a a a_1) True % 182.13/182.39 Clause #3573 (by superposition #[3571, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.13/182.39 Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True) (Or (Eq True False) (Eq (eqratio a_1 a a a_1 a_2 a_3 a_4 a_5) False)) % 182.13/182.39 Clause #3577 (by clausification #[3502]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a_1 a_1 a_1 a) True % 182.13/182.39 Clause #3594 (by clausification #[3479]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a a a_1 a) True % 182.13/182.39 Clause #3682 (by clausification #[3573]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.13/182.39 Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True) (Eq (eqratio a_1 a a a_1 a_2 a_3 a_4 a_5) False) % 182.13/182.39 Clause #3693 (by superposition #[3682, 3577]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a a_1 a a a a_1) True) (Eq False True) % 182.13/182.39 Clause #3695 (by superposition #[3682, 3594]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a a_1 a_1 a_1 a a_1) True) (Eq False True) % 182.13/182.39 Clause #3697 (by clausification #[3695]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a_1 a_1 a a_1) True % 182.13/182.39 Clause #3701 (by superposition #[3697, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a_1 a a_1) True) % 182.13/182.39 Clause #3703 (by clausification #[3701]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a a_1 a a_1) True % 182.13/182.39 Clause #3705 (by superposition #[3703, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a_1 a a_1 a) True) % 182.13/182.39 Clause #3709 (by clausification #[3705]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a_1 a a_1 a) True % 182.13/182.39 Clause #3711 (by superposition #[3709, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a_1 a_1 a_1 a a) True) % 182.13/182.39 Clause #3713 (by clausification #[3711]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a_1 a_1 a_1 a a) True % 182.13/182.39 Clause #3715 (by superposition #[3713, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a a a_1 a_1) True) % 182.22/182.41 Clause #3738 (by clausification #[3715]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a a a_1 a_1) True % 182.22/182.41 Clause #3741 (by superposition #[3738, 3682]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a a_1 a_1 a_1 a a) True) (Eq True False) % 182.22/182.41 Clause #3745 (by clausification #[3741]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a_1 a_1 a a) True % 182.22/182.41 Clause #3747 (by superposition #[3745, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a a a_1 a_1) True) % 182.22/182.41 Clause #3758 (by clausification #[3747]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a a a_1 a_1) True % 182.22/182.41 Clause #3760 (by superposition #[3758, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a_1 a_1 a a) True) % 182.22/182.41 Clause #3767 (by clausification #[3760]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a_1 a_1 a a) True % 182.22/182.41 Clause #3770 (by superposition #[3767, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a_1 a a a) True) % 182.22/182.41 Clause #3772 (by clausification #[3770]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a_1 a a a) True % 182.22/182.41 Clause #3774 (by superposition #[3772, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a_1 a_1 a a_1) True) % 182.22/182.41 Clause #3776 (by clausification #[3774]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a_1 a_1 a a_1) True % 182.22/182.41 Clause #3778 (by superposition #[3776, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.22/182.41 Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) % 182.22/182.41 (Or (Eq True False) (Eq (eqratio a_1 a_1 a a_1 a_2 a_3 a_4 a_5) False)) % 182.22/182.41 Clause #3885 (by clausification #[3693]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a a a a_1) True % 182.22/182.41 Clause #3888 (by superposition #[3885, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a a_1 a a_1) True) % 182.22/182.41 Clause #3890 (by clausification #[3888]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a a_1 a a_1) True % 182.22/182.41 Clause #3892 (by superposition #[3890, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a_1 a a a a) True) % 182.22/182.41 Clause #3895 (by clausification #[3892]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a_1 a a a a) True % 182.22/182.41 Clause #3897 (by superposition #[3895, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a_1 a_1 a_1 a_1) True) % 182.22/182.41 Clause #3904 (by clausification #[3897]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a a_1 a_1 a_1 a_1) True % 182.22/182.41 Clause #3908 (by superposition #[3904, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a_1 a a_1 a_1) True) % 182.22/182.41 Clause #3910 (by superposition #[3904, 3682]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a a_1 a a a a) True) (Eq True False) % 182.22/182.41 Clause #3911 (by clausification #[3910]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a a a a) True % 182.22/182.41 Clause #3913 (by superposition #[3911, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a a a a) True) % 182.22/182.41 Clause #3925 (by clausification #[3913]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a a a a) True % 182.22/182.41 Clause #3927 (by superposition #[3925, 616]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a_1 a_1 a_1 a_1) True) % 182.22/182.41 Clause #3929 (by clausification #[3927]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a_1 a_1 a_1 a_1) True % 182.22/182.41 Clause #3931 (by superposition #[3929, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a a a a a) True) % 182.22/182.41 Clause #3941 (by clausification #[3931]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a a a a a) True % 182.22/182.41 Clause #3952 (by clausification #[3908]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a_1 a_1 a_1 a a_1 a_1) True % 182.22/182.41 Clause #3955 (by superposition #[3952, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a a a_1 a a a) True) % 182.22/182.41 Clause #3957 (by clausification #[3955]): ∀ (a a_1 : Iota), Eq (eqratio a a_1 a a a_1 a a a) True % 182.22/182.41 Clause #3960 (by superposition #[3957, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a_1 a a a_1 a) True) % 182.22/182.41 Clause #3962 (by clausification #[3960]): ∀ (a a_1 : Iota), Eq (eqratio a a a a_1 a a a_1 a) True % 182.22/182.41 Clause #3964 (by superposition #[3962, 738]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a a_1 a_1 a) True) % 182.22/182.41 Clause #3966 (by clausification #[3964]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a a_1 a_1 a) True % 182.22/182.44 Clause #4108 (by clausification #[3778]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.22/182.44 Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) (Eq (eqratio a_1 a_1 a a_1 a_2 a_3 a_4 a_5) False) % 182.22/182.44 Clause #4126 (by superposition #[4108, 3941]): ∀ (a a_1 : Iota), Or (Eq (eqratio a a a_1 a_1 a_1 a_1 a_1 a_1) True) (Eq False True) % 182.22/182.44 Clause #4136 (by clausification #[4126]): ∀ (a a_1 : Iota), Eq (eqratio a a a_1 a_1 a_1 a_1 a_1 a_1) True % 182.22/182.44 Clause #4139 (by superposition #[4136, 720]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a_1 a_1 a a) True) % 182.22/182.44 Clause #4140 (by superposition #[4136, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.22/182.44 Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) % 182.22/182.44 (Or (Eq True False) (Eq (eqratio a_1 a_1 a_1 a_1 a_2 a_3 a_4 a_5) False)) % 182.22/182.44 Clause #4141 (by clausification #[4139]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a_1 a_1 a a) True % 182.22/182.44 Clause #4143 (by superposition #[4141, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (eqratio a a a a a a a_1 a_1) True) % 182.22/182.44 Clause #4151 (by clausification #[4143]): ∀ (a a_1 : Iota), Eq (eqratio a a a a a a a_1 a_1) True % 182.22/182.44 Clause #4153 (by superposition #[4151, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.22/182.44 Or (Eq (eqratio a a a a a_1 a_2 a_3 a_4) True) (Or (Eq True False) (Eq (eqratio a a a_5 a_5 a_1 a_2 a_3 a_4) False)) % 182.22/182.44 Clause #4190 (by clausification #[4153]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.22/182.44 Or (Eq (eqratio a a a a a_1 a_2 a_3 a_4) True) (Eq (eqratio a a a_5 a_5 a_1 a_2 a_3 a_4) False) % 182.22/182.44 Clause #4197 (by clausification #[4140]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 182.22/182.44 Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_4 a_5) True) (Eq (eqratio a_1 a_1 a_1 a_1 a_2 a_3 a_4 a_5) False) % 182.22/182.44 Clause #4202 (by superposition #[4197, 3890]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a_1 a_1 a_1 a_2 a_1 a_2) True) (Eq False True) % 182.22/182.44 Clause #4207 (by superposition #[4197, 3966]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a_1 a_1 a_1 a_2 a_2 a_1) True) (Eq False True) % 182.22/182.44 Clause #4248 (by clausification #[4207]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a_1 a_1 a_1 a_2 a_2 a_1) True % 182.22/182.44 Clause #4254 (by superposition #[4248, 4190]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a_2 a_1) True) (Eq True False) % 182.22/182.44 Clause #4256 (by clausification #[4254]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a a a_1 a_2 a_2 a_1) True % 182.22/182.44 Clause #4262 (by superposition #[4256, 4197]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_3 a_2) True) (Eq True False) % 182.22/182.44 Clause #4263 (by clausification #[4262]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_1 a_2 a_3 a_3 a_2) True % 182.22/182.44 Clause #4266 (by superposition #[4263, 720]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a a_2 a_2 a_3 a_3) True) % 182.22/182.44 Clause #4329 (by clausification #[4202]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a_1 a_1 a_1 a_2 a_1 a_2) True % 182.22/182.44 Clause #4335 (by superposition #[4329, 4190]): ∀ (a a_1 a_2 : Iota), Or (Eq (eqratio a a a a a_1 a_2 a_1 a_2) True) (Eq True False) % 182.22/182.44 Clause #4342 (by clausification #[4335]): ∀ (a a_1 a_2 : Iota), Eq (eqratio a a a a a_1 a_2 a_1 a_2) True % 182.22/182.44 Clause #4347 (by superposition #[4342, 4197]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a_1 a_1 a_2 a_3 a_2 a_3) True) (Eq True False) % 182.22/182.44 Clause #4348 (by clausification #[4347]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_1 a_2 a_3 a_2 a_3) True % 182.22/182.44 Clause #4382 (by clausification #[4266]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a_1 a_1 a a_2 a_2 a_3 a_3) True % 182.22/182.44 Clause #4384 (by superposition #[4382, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.22/182.44 Or (Eq (eqratio a a_1 a_1 a a_2 a_3 a_4 a_5) True) % 182.22/182.44 (Or (Eq True False) (Eq (eqratio a_6 a_6 a_7 a_7 a_2 a_3 a_4 a_5) False)) % 182.22/182.44 Clause #4466 (by clausification #[4384]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.22/182.44 Or (Eq (eqratio a a_1 a_1 a a_2 a_3 a_4 a_5) True) (Eq (eqratio a_6 a_6 a_7 a_7 a_2 a_3 a_4 a_5) False) % 182.22/182.44 Clause #4472 (by superposition #[4466, 4348]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a_1 a_1 a a_2 a_3 a_2 a_3) True) (Eq False True) % 182.22/182.44 Clause #4473 (by clausification #[4472]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a_1 a_1 a a_2 a_3 a_2 a_3) True % 182.22/182.46 Clause #4480 (by superposition #[4473, 3682]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a_2 a_3) True) (Eq True False) % 182.22/182.46 Clause #4482 (by clausification #[4480]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a_2 a_3) True % 182.22/182.46 Clause #4486 (by superposition #[4482, 738]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a_1 a_2) True) % 182.22/182.46 Clause #4488 (by clausification #[4486]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a_1 a_2) True % 182.22/182.46 Clause #4496 (by superposition #[4488, 4466]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a_1 a_1 a a_2 a_3 a_4 a_4) True) (Eq True False) % 182.22/182.46 Clause #4500 (by clausification #[4496]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_1 a a_2 a_3 a_4 a_4) True % 182.22/182.46 Clause #4507 (by superposition #[4500, 3682]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_4) True) (Eq True False) % 182.22/182.46 Clause #4508 (by clausification #[4507]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a_4 a_4) True % 182.22/182.46 Clause #4512 (by superposition #[4508, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a_4 a_4) True) % 182.22/182.46 Clause #4514 (by clausification #[4512]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a_4 a_4) True % 182.22/182.46 Clause #4517 (by superposition #[4514, 720]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_2 a a a_3 a_4) True) % 182.22/182.46 Clause #4527 (by clausification #[4517]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_2 a_2 a a a_3 a_4) True % 182.22/182.46 Clause #4533 (by superposition #[4527, 4466]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a_1 a_1 a a_2 a_2 a_3 a_4) True) (Eq True False) % 182.22/182.46 Clause #4534 (by clausification #[4533]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a_1 a_1 a a_2 a_2 a_3 a_4) True % 182.22/182.46 Clause #4541 (by superposition #[4534, 3682]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_2 a_3 a_4) True) (Eq True False) % 182.22/182.46 Clause #4542 (by clausification #[4541]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a a_1 a_2 a_2 a_3 a_4) True % 182.22/182.46 Clause #4546 (by superposition #[4542, 738]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_1 a a_2 a_3 a_4) True) % 182.22/182.46 Clause #4548 (by clausification #[4546]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (eqratio a a a_1 a_1 a a_2 a_3 a_4) True % 182.22/182.46 Clause #4555 (by superposition #[4548, 4466]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (eqratio a a_1 a_1 a a_2 a_3 a_4 a_5) True) (Eq True False) % 182.22/182.46 Clause #4556 (by clausification #[4555]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_1 a a_2 a_3 a_4 a_5) True % 182.22/182.46 Clause #4563 (by superposition #[4556, 3682]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True) (Eq True False) % 182.22/182.46 Clause #4587 (by clausification #[4563]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a a_1 a_2 a_3 a_4 a_5) True % 182.22/182.46 Clause #4591 (by superposition #[4587, 738]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a a_1 a_2 a a_3 a_4 a_5) True) % 182.22/182.46 Clause #4593 (by clausification #[4591]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a a_1 a_2 a a_3 a_4 a_5) True % 182.22/182.46 Clause #4596 (by superposition #[4593, 720]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a a a_4 a_5) True) % 182.22/182.46 Clause #4599 (by clausification #[4596]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_3 a a a_4 a_5) True % 182.22/182.46 Clause #4601 (by superposition #[4599, 616]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a_1 a_1 a_4 a_5) True) % 182.22/182.46 Clause #4612 (by clausification #[4601]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_3 a_1 a_1 a_4 a_5) True % 182.22/182.46 Clause #4616 (by superposition #[4612, 738]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_1 a_1 a_2 a_3 a_4 a_5) True) % 182.22/182.46 Clause #4618 (by clausification #[4616]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_1 a_1 a_2 a_3 a_4 a_5) True % 182.22/182.46 Clause #4621 (by superposition #[4618, 720]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_5 a_5) True) % 182.22/182.48 Clause #4623 (by clausification #[4621]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_5 a_5) True % 182.22/182.48 Clause #4625 (by superposition #[4623, 665]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a_4 a_4 a_5 a_4) True) % 182.22/182.48 Clause #4627 (by clausification #[4625]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_3 a_4 a_4 a_5 a_4) True % 182.22/182.48 Clause #4629 (by superposition #[4627, 738]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_2) True) % 182.22/182.48 Clause #4632 (by clausification #[4629]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_2) True % 182.22/182.48 Clause #4634 (by superposition #[4632, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 182.22/182.48 Or (Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_6) True) % 182.22/182.48 (Or (Eq True False) (Eq (eqratio a_7 a_8 a_9 a_2 a_3 a_4 a_5 a_6) False)) % 182.22/182.48 Clause #4852 (by clausification #[4634]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 182.22/182.48 Or (Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_6) True) (Eq (eqratio a_7 a_8 a_9 a_2 a_3 a_4 a_5 a_6) False) % 182.22/182.48 Clause #4853 (by superposition #[4852, 4556]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Or (Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_6) True) (Eq False True) % 182.22/182.48 Clause #4886 (by clausification #[4853]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Eq (eqratio a a_1 a_2 a_2 a_3 a_4 a_5 a_6) True % 182.22/182.48 Clause #4890 (by superposition #[4886, 720]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Or (Eq True False) (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_6) True) % 182.22/182.48 Clause #4899 (by clausification #[4890]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_6) True % 182.22/182.48 Clause #4901 (by superposition #[4899, 791]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 182.22/182.48 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True) % 182.22/182.48 (Or (Eq True False) (Eq (eqratio a_8 a_9 a_10 a_10 a_4 a_5 a_6 a_7) False)) % 182.22/182.48 Clause #4917 (by clausification #[4901]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 182.22/182.48 Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True) (Eq (eqratio a_8 a_9 a_10 a_10 a_4 a_5 a_6 a_7) False) % 182.22/182.48 Clause #4918 (by superposition #[4917, 4556]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Or (Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True) (Eq False True) % 182.22/182.48 Clause #4928 (by clausification #[4918]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Eq (eqratio a a_1 a_2 a_3 a_4 a_5 a_6 a_7) True % 182.22/182.48 Clause #4929 (by superposition #[4928, 467]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 182.22/182.48 Or (Eq (cong a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cong a_4 a_5 a_6 a_7) False)) % 182.22/182.48 Clause #4930 (by clausification #[4929]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Or (Eq (cong a a_1 a_2 a_3) True) (Eq (cong a_4 a_5 a_6 a_7) False) % 182.22/182.48 Clause #5281 (by clausification #[2679]): ∀ (a a_1 a_2 : Iota), % 182.22/182.48 Or (Eq (cong a a_1 a a_1) True) % 182.22/182.48 (Or (Eq (cyclic a a_1 a a_2) False) (Or (Eq (cyclic a a_1 a a) False) (Eq (cyclic a a_1 a a_1) False))) % 182.22/182.48 Clause #5282 (by superposition #[5281, 2832]): ∀ (a a_1 : Iota), % 182.22/182.48 Or (Eq (cong a a_1 a a_1) True) % 182.22/182.48 (Or (Eq (cyclic a a_1 a a) False) (Or (Eq (cyclic a a_1 a a_1) False) (Eq False True))) % 182.22/182.48 Clause #5283 (by clausification #[5282]): ∀ (a a_1 : Iota), Or (Eq (cong a a_1 a a_1) True) (Or (Eq (cyclic a a_1 a a) False) (Eq (cyclic a a_1 a a_1) False)) % 182.22/182.48 Clause #5284 (by superposition #[5283, 2832]): ∀ (a a_1 : Iota), Or (Eq (cong a a_1 a a_1) True) (Or (Eq (cyclic a a_1 a a_1) False) (Eq False True)) % 182.22/182.48 Clause #5285 (by clausification #[5284]): ∀ (a a_1 : Iota), Or (Eq (cong a a_1 a a_1) True) (Eq (cyclic a a_1 a a_1) False) % 182.22/182.48 Clause #5286 (by superposition #[5285, 2832]): ∀ (a a_1 : Iota), Or (Eq (cong a a_1 a a_1) True) (Eq False True) % 182.22/182.48 Clause #5288 (by clausification #[5286]): ∀ (a a_1 : Iota), Eq (cong a a_1 a a_1) True % 182.22/182.48 Clause #5297 (by superposition #[5288, 4930]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cong a a_1 a_2 a_3) True) (Eq True False) % 182.22/182.48 Clause #5316 (by clausification #[5297]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cong a a_1 a_2 a_3) True % 182.42/182.62 Clause #5323 (by superposition #[5316, 2708]): ∀ (a a_1 a_2 : Iota), Or (Eq (midp a a_1 a_2) True) (Eq True False) % 182.42/182.62 Clause #5325 (by clausification #[5323]): ∀ (a a_1 a_2 : Iota), Eq (midp a a_1 a_2) True % 182.42/182.62 Clause #5353 (by superposition #[5325, 283]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (para a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (midp a_4 a_1 a_3) False)) % 182.42/182.62 Clause #8678 (by clausification #[5353]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (para a a_1 a_2 a_3) True) (Eq (midp a_4 a_1 a_3) False) % 182.42/182.62 Clause #8679 (by superposition #[8678, 5325]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_3) True) (Eq False True) % 182.42/182.62 Clause #8680 (by clausification #[8679]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para a a_1 a_2 a_3) True % 182.42/182.62 Clause #8687 (by superposition #[8680, 565]): Eq True False % 182.42/182.62 Clause #8689 (by clausification #[8687]): False % 182.42/182.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------