%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO585+1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 9.63s 9.85s % Output : Proof 9.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO585+1 : TPTP v9.2.0. Released v7.5.0. % 0.12/0.13 % Command : duper %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Oct 3 11:59:38 EDT 2025 % 0.13/0.33 % CPUTime : % 9.63/9.85 SZS status Theorem for theBenchmark.p % 9.63/9.85 SZS output start Proof for theBenchmark.p % 9.63/9.85 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True % 9.63/9.85 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True % 9.63/9.85 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True % 9.63/9.85 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True % 9.63/9.85 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True % 9.63/9.85 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True % 9.63/9.85 Clause #8 (by assumption #[]): Eq (∀ (A B C D E F : Iota), And (perp A B C D) (perp C D E F) → para A B E F) True % 9.63/9.85 Clause #13 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A B D C) True % 9.63/9.85 Clause #14 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic A C B D) True % 9.63/9.85 Clause #15 (by assumption #[]): Eq (∀ (A B C D : Iota), cyclic A B C D → cyclic B A C D) True % 9.63/9.85 Clause #16 (by assumption #[]): Eq (∀ (A B C D E : Iota), And (cyclic A B C D) (cyclic A B C E) → cyclic B C D E) True % 9.63/9.85 Clause #17 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle B A C D P Q U V) True % 9.63/9.85 Clause #19 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle P Q U V A B C D) True % 9.63/9.85 Clause #20 (by assumption #[]): Eq (∀ (A B C D P Q U V : Iota), eqangle A B C D P Q U V → eqangle A B P Q C D U V) True % 9.63/9.85 Clause #38 (by assumption #[]): Eq (∀ (A B C D P Q : Iota), eqangle A B P Q C D P Q → para A B C D) True % 9.63/9.85 Clause #39 (by assumption #[]): Eq (∀ (A B C D P Q : Iota), para A B C D → eqangle A B P Q C D P Q) True % 9.63/9.85 Clause #42 (by assumption #[]): Eq (∀ (A B P Q : Iota), And (eqangle P A P B Q A Q B) (coll P Q B) → cyclic A B P Q) True % 9.63/9.85 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True % 9.63/9.85 Clause #94 (by assumption #[]): Eq % 9.63/9.85 (Not % 9.63/9.85 (∀ (A B C O D U V NWPNT1 : Iota), % 9.63/9.85 And % 9.63/9.85 (And % 9.63/9.85 (And % 9.63/9.85 (And (And (And (And (circle O A B C) (circle O A D NWPNT1)) (perp A B D U)) (perp A D B U)) % 9.63/9.85 (perp B D A U)) % 9.63/9.85 (perp A C D V)) % 9.63/9.85 (perp A D C V)) % 9.63/9.85 (perp C D A V) → % 9.63/9.85 cyclic A U D V)) % 9.63/9.85 True % 9.63/9.85 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True % 9.63/9.85 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True % 9.63/9.85 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 : Iota), Eq (para a a_1 a a_2 → coll a a_1 a_2) True % 9.63/9.85 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota), Or (Eq (para a a_1 a a_2) False) (Eq (coll a a_1 a_2) True) % 9.63/9.85 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True % 9.63/9.85 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True % 9.63/9.85 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2 → coll a_1 a a_2) True % 9.63/9.85 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) False) (Eq (coll a_1 a a_2) True) % 9.63/9.85 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True % 9.63/9.85 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True % 9.63/9.85 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2 → coll a a_2 a_1) True % 9.63/9.85 Clause #119 (by clausification #[118]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) False) (Eq (coll a a_2 a_1) True) % 9.63/9.85 Clause #120 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B C D : Iota), And (coll a B C) (coll a B D) → coll C D a) True % 9.63/9.85 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), And (coll a a_1 C) (coll a a_1 D) → coll C D a) True % 9.63/9.85 Clause #122 (by clausification #[121]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), And (coll a a_1 a_2) (coll a a_1 D) → coll a_2 D a) True % 9.72/9.87 Clause #123 (by clausification #[122]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (coll a a_1 a_2) (coll a a_1 a_3) → coll a_2 a_3 a) True % 9.72/9.87 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (And (coll a a_1 a_2) (coll a a_1 a_3)) False) (Eq (coll a_2 a_3 a) True) % 9.72/9.87 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq (coll a_2 a_3 a) False) (Eq (coll a_2 a_3 a_1) False)) % 9.72/9.87 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True % 9.72/9.87 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), para a a_1 C D → para a a_1 D C) True % 9.72/9.87 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), para a a_1 a_2 D → para a a_1 D a_2) True % 9.72/9.87 Clause #155 (by clausification #[154]): ∀ (a a_1 a_2 a_3 : Iota), Eq (para a a_1 a_2 a_3 → para a a_1 a_3 a_2) True % 9.72/9.87 Clause #156 (by clausification #[155]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (para a a_1 a_3 a_2) True) % 9.72/9.87 Clause #157 (by clausification #[42]): ∀ (a : Iota), Eq (∀ (B P Q : Iota), And (eqangle P a P B Q a Q B) (coll P Q B) → cyclic a B P Q) True % 9.72/9.87 Clause #158 (by clausification #[157]): ∀ (a a_1 : Iota), Eq (∀ (P Q : Iota), And (eqangle P a P a_1 Q a Q a_1) (coll P Q a_1) → cyclic a a_1 P Q) True % 9.72/9.87 Clause #159 (by clausification #[158]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Q : Iota), And (eqangle a a_1 a a_2 Q a_1 Q a_2) (coll a Q a_2) → cyclic a_1 a_2 a Q) True % 9.72/9.87 Clause #160 (by clausification #[159]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (eqangle a a_1 a a_2 a_3 a_1 a_3 a_2) (coll a a_3 a_2) → cyclic a_1 a_2 a a_3) True % 9.72/9.87 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota), % 9.72/9.87 Or (Eq (And (eqangle a a_1 a a_2 a_3 a_1 a_3 a_2) (coll a a_3 a_2)) False) (Eq (cyclic a_1 a_2 a a_3) True) % 9.72/9.87 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota), % 9.72/9.87 Or (Eq (cyclic a a_1 a_2 a_3) True) % 9.72/9.87 (Or (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False) (Eq (coll a_2 a_3 a_1) False)) % 9.72/9.87 Clause #170 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic B a C D) True % 9.72/9.87 Clause #171 (by clausification #[170]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a_1 a C D) True % 9.72/9.87 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a_1 a a_2 D) True % 9.72/9.87 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a_1 a a_2 a_3) True % 9.72/9.87 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a_1 a a_2 a_3) True) % 9.72/9.87 Clause #175 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a C B D) True % 9.72/9.87 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a C a_1 D) True % 9.72/9.87 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_2 a_1 D) True % 9.72/9.87 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_2 a_1 a_3) True % 9.72/9.87 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_2 a_1 a_3) True) % 9.72/9.87 Clause #180 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B C D : Iota), cyclic a B C D → cyclic a B D C) True % 9.72/9.87 Clause #181 (by clausification #[180]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), cyclic a a_1 C D → cyclic a a_1 D C) True % 9.72/9.87 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), cyclic a a_1 a_2 D → cyclic a a_1 D a_2) True % 9.72/9.87 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3 → cyclic a a_1 a_3 a_2) True % 9.72/9.87 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) False) (Eq (cyclic a a_1 a_3 a_2) True) % 9.72/9.87 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True % 9.72/9.90 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), perp a a_1 C D → perp a a_1 D C) True % 9.72/9.90 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), perp a a_1 a_2 D → perp a a_1 D a_2) True % 9.72/9.90 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota), Eq (perp a a_1 a_2 a_3 → perp a a_1 a_3 a_2) True % 9.72/9.90 Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_2 a_3) False) (Eq (perp a a_1 a_3 a_2) True) % 9.72/9.90 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True % 9.72/9.90 Clause #267 (by clausification #[266]): ∀ (a a_1 : Iota), Eq (∀ (C D : Iota), perp a a_1 C D → perp C D a a_1) True % 9.72/9.90 Clause #268 (by clausification #[267]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D : Iota), perp a a_1 a_2 D → perp a_2 D a a_1) True % 9.72/9.90 Clause #269 (by clausification #[268]): ∀ (a a_1 a_2 a_3 : Iota), Eq (perp a a_1 a_2 a_3 → perp a_2 a_3 a a_1) True % 9.72/9.90 Clause #270 (by clausification #[269]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (perp a a_1 a_2 a_3) False) (Eq (perp a_2 a_3 a a_1) True) % 9.72/9.90 Clause #284 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (B C D E : Iota), And (cyclic a B C D) (cyclic a B C E) → cyclic B C D E) True % 9.72/9.90 Clause #285 (by clausification #[284]): ∀ (a a_1 : Iota), Eq (∀ (C D E : Iota), And (cyclic a a_1 C D) (cyclic a a_1 C E) → cyclic a_1 C D E) True % 9.72/9.90 Clause #286 (by clausification #[285]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D E : Iota), And (cyclic a a_1 a_2 D) (cyclic a a_1 a_2 E) → cyclic a_1 a_2 D E) True % 9.72/9.90 Clause #287 (by clausification #[286]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (E : Iota), And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 E) → cyclic a_1 a_2 a_3 E) True % 9.72/9.90 Clause #288 (by clausification #[287]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4) → cyclic a_1 a_2 a_3 a_4) True % 9.72/9.90 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.72/9.90 Or (Eq (And (cyclic a a_1 a_2 a_3) (cyclic a a_1 a_2 a_4)) False) (Eq (cyclic a_1 a_2 a_3 a_4) True) % 9.72/9.90 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.72/9.90 Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq (cyclic a_4 a a_1 a_2) False) (Eq (cyclic a_4 a a_1 a_3) False)) % 9.72/9.90 Clause #298 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (B C D E F : Iota), And (perp a B C D) (perp C D E F) → para a B E F) True % 9.72/9.90 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), Eq (∀ (C D E F : Iota), And (perp a a_1 C D) (perp C D E F) → para a a_1 E F) True % 9.72/9.90 Clause #300 (by clausification #[299]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D E F : Iota), And (perp a a_1 a_2 D) (perp a_2 D E F) → para a a_1 E F) True % 9.72/9.90 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (E F : Iota), And (perp a a_1 a_2 a_3) (perp a_2 a_3 E F) → para a a_1 E F) True % 9.72/9.90 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (F : Iota), And (perp a a_1 a_2 a_3) (perp a_2 a_3 a_4 F) → para a a_1 a_4 F) True % 9.72/9.90 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (And (perp a a_1 a_2 a_3) (perp a_2 a_3 a_4 a_5) → para a a_1 a_4 a_5) True % 9.72/9.90 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.72/9.90 Or (Eq (And (perp a a_1 a_2 a_3) (perp a_2 a_3 a_4 a_5)) False) (Eq (para a a_1 a_4 a_5) True) % 9.72/9.90 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.72/9.90 Or (Eq (para a a_1 a_2 a_3) True) (Or (Eq (perp a a_1 a_4 a_5) False) (Eq (perp a_4 a_5 a_2 a_3) False)) % 9.72/9.90 Clause #344 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle B a C D P Q U V) True % 9.72/9.90 Clause #345 (by clausification #[344]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle a_1 a C D P Q U V) True % 9.72/9.90 Clause #346 (by clausification #[345]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle a_1 a a_2 D P Q U V) True % 9.72/9.90 Clause #347 (by clausification #[346]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle a_1 a a_2 a_3 P Q U V) True % 9.74/9.92 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.74/9.92 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a_1 a a_2 a_3 a_4 Q U V) True % 9.74/9.92 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.74/9.92 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a_1 a a_2 a_3 a_4 a_5 U V) True % 9.74/9.92 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.74/9.92 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a_1 a a_2 a_3 a_4 a_5 a_6 V) True % 9.74/9.92 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.74/9.92 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True % 9.74/9.92 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.74/9.92 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a_1 a a_2 a_3 a_4 a_5 a_6 a_7) True) % 9.74/9.92 Clause #353 (by clausification #[38]): ∀ (a : Iota), Eq (∀ (B C D P Q : Iota), eqangle a B P Q C D P Q → para a B C D) True % 9.74/9.92 Clause #354 (by clausification #[353]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q : Iota), eqangle a a_1 P Q C D P Q → para a a_1 C D) True % 9.74/9.92 Clause #355 (by clausification #[354]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q : Iota), eqangle a a_1 P Q a_2 D P Q → para a a_1 a_2 D) True % 9.74/9.92 Clause #356 (by clausification #[355]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q : Iota), eqangle a a_1 P Q a_2 a_3 P Q → para a a_1 a_2 a_3) True % 9.74/9.92 Clause #357 (by clausification #[356]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (Q : Iota), eqangle a a_1 a_2 Q a_3 a_4 a_2 Q → para a a_1 a_3 a_4) True % 9.74/9.92 Clause #358 (by clausification #[357]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_2 a_3 → para a a_1 a_4 a_5) True % 9.74/9.92 Clause #359 (by clausification #[358]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_2 a_3) False) (Eq (para a a_1 a_4 a_5) True) % 9.74/9.92 Clause #433 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle P Q U V a B C D) True % 9.74/9.92 Clause #434 (by clausification #[433]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle P Q U V a a_1 C D) True % 9.74/9.92 Clause #435 (by clausification #[434]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle P Q U V a a_1 a_2 D) True % 9.74/9.92 Clause #436 (by clausification #[435]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle P Q U V a a_1 a_2 a_3) True % 9.74/9.92 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.74/9.92 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a_4 Q U V a a_1 a_2 a_3) True % 9.74/9.92 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.74/9.92 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a_4 a_5 U V a a_1 a_2 a_3) True % 9.74/9.92 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.74/9.92 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a_4 a_5 a_6 V a a_1 a_2 a_3) True % 9.74/9.92 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.74/9.92 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True % 9.74/9.92 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.74/9.92 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a_4 a_5 a_6 a_7 a a_1 a_2 a_3) True) % 9.74/9.92 Clause #488 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (B C D P Q U V : Iota), eqangle a B C D P Q U V → eqangle a B P Q C D U V) True % 9.74/9.92 Clause #489 (by clausification #[488]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q U V : Iota), eqangle a a_1 C D P Q U V → eqangle a a_1 P Q C D U V) True % 9.74/9.92 Clause #490 (by clausification #[489]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q U V : Iota), eqangle a a_1 a_2 D P Q U V → eqangle a a_1 P Q a_2 D U V) True % 9.74/9.92 Clause #491 (by clausification #[490]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q U V : Iota), eqangle a a_1 a_2 a_3 P Q U V → eqangle a a_1 P Q a_2 a_3 U V) True % 9.76/9.94 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.76/9.94 Eq (∀ (Q U V : Iota), eqangle a a_1 a_2 a_3 a_4 Q U V → eqangle a a_1 a_4 Q a_2 a_3 U V) True % 9.76/9.94 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.76/9.94 Eq (∀ (U V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 U V → eqangle a a_1 a_4 a_5 a_2 a_3 U V) True % 9.76/9.94 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.76/9.94 Eq (∀ (V : Iota), eqangle a a_1 a_2 a_3 a_4 a_5 a_6 V → eqangle a a_1 a_4 a_5 a_2 a_3 a_6 V) True % 9.76/9.94 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.76/9.94 Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7 → eqangle a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True % 9.76/9.94 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.76/9.94 Or (Eq (eqangle a a_1 a_2 a_3 a_4 a_5 a_6 a_7) False) (Eq (eqangle a a_1 a_4 a_5 a_2 a_3 a_6 a_7) True) % 9.76/9.94 Clause #547 (by clausification #[94]): Eq % 9.76/9.94 (∀ (A B C O D U V NWPNT1 : Iota), % 9.76/9.94 And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And (And (And (And (circle O A B C) (circle O A D NWPNT1)) (perp A B D U)) (perp A D B U)) (perp B D A U)) % 9.76/9.94 (perp A C D V)) % 9.76/9.94 (perp A D C V)) % 9.76/9.94 (perp C D A V) → % 9.76/9.94 cyclic A U D V) % 9.76/9.94 False % 9.76/9.94 Clause #548 (by clausification #[547]): ∀ (a : Iota), % 9.76/9.94 Eq % 9.76/9.94 (Not % 9.76/9.94 (∀ (B C O D U V NWPNT1 : Iota), % 9.76/9.94 And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And (And (And (circle O (skS.0 4 a) B C) (circle O (skS.0 4 a) D NWPNT1)) (perp (skS.0 4 a) B D U)) % 9.76/9.94 (perp (skS.0 4 a) D B U)) % 9.76/9.94 (perp B D (skS.0 4 a) U)) % 9.76/9.94 (perp (skS.0 4 a) C D V)) % 9.76/9.94 (perp (skS.0 4 a) D C V)) % 9.76/9.94 (perp C D (skS.0 4 a) V) → % 9.76/9.94 cyclic (skS.0 4 a) U D V)) % 9.76/9.94 True % 9.76/9.94 Clause #549 (by clausification #[548]): ∀ (a : Iota), % 9.76/9.94 Eq % 9.76/9.94 (∀ (B C O D U V NWPNT1 : Iota), % 9.76/9.94 And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And (And (And (circle O (skS.0 4 a) B C) (circle O (skS.0 4 a) D NWPNT1)) (perp (skS.0 4 a) B D U)) % 9.76/9.94 (perp (skS.0 4 a) D B U)) % 9.76/9.94 (perp B D (skS.0 4 a) U)) % 9.76/9.94 (perp (skS.0 4 a) C D V)) % 9.76/9.94 (perp (skS.0 4 a) D C V)) % 9.76/9.94 (perp C D (skS.0 4 a) V) → % 9.76/9.94 cyclic (skS.0 4 a) U D V) % 9.76/9.94 False % 9.76/9.94 Clause #550 (by clausification #[549]): ∀ (a a_1 : Iota), % 9.76/9.94 Eq % 9.76/9.94 (Not % 9.76/9.94 (∀ (C O D U V NWPNT1 : Iota), % 9.76/9.94 And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) C) (circle O (skS.0 4 a) D NWPNT1)) % 9.76/9.94 (perp (skS.0 4 a) (skS.0 5 a a_1) D U)) % 9.76/9.94 (perp (skS.0 4 a) D (skS.0 5 a a_1) U)) % 9.76/9.94 (perp (skS.0 5 a a_1) D (skS.0 4 a) U)) % 9.76/9.94 (perp (skS.0 4 a) C D V)) % 9.76/9.94 (perp (skS.0 4 a) D C V)) % 9.76/9.94 (perp C D (skS.0 4 a) V) → % 9.76/9.94 cyclic (skS.0 4 a) U D V)) % 9.76/9.94 True % 9.76/9.94 Clause #551 (by clausification #[550]): ∀ (a a_1 : Iota), % 9.76/9.94 Eq % 9.76/9.94 (∀ (C O D U V NWPNT1 : Iota), % 9.76/9.94 And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) C) (circle O (skS.0 4 a) D NWPNT1)) % 9.76/9.94 (perp (skS.0 4 a) (skS.0 5 a a_1) D U)) % 9.76/9.94 (perp (skS.0 4 a) D (skS.0 5 a a_1) U)) % 9.76/9.94 (perp (skS.0 5 a a_1) D (skS.0 4 a) U)) % 9.76/9.94 (perp (skS.0 4 a) C D V)) % 9.76/9.94 (perp (skS.0 4 a) D C V)) % 9.76/9.94 (perp C D (skS.0 4 a) V) → % 9.76/9.94 cyclic (skS.0 4 a) U D V) % 9.76/9.94 False % 9.76/9.94 Clause #552 (by clausification #[551]): ∀ (a a_1 a_2 : Iota), % 9.76/9.94 Eq % 9.76/9.94 (Not % 9.76/9.94 (∀ (O D U V NWPNT1 : Iota), % 9.76/9.94 And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And % 9.76/9.94 (And (circle O (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) (circle O (skS.0 4 a) D NWPNT1)) % 9.76/9.94 (perp (skS.0 4 a) (skS.0 5 a a_1) D U)) % 9.76/9.94 (perp (skS.0 4 a) D (skS.0 5 a a_1) U)) % 9.76/9.97 (perp (skS.0 5 a a_1) D (skS.0 4 a) U)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V)) % 9.76/9.97 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) → % 9.76/9.97 cyclic (skS.0 4 a) U D V)) % 9.76/9.97 True % 9.76/9.97 Clause #553 (by clausification #[552]): ∀ (a a_1 a_2 : Iota), % 9.76/9.97 Eq % 9.76/9.97 (∀ (O D U V NWPNT1 : Iota), % 9.76/9.97 And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And (And (circle O (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) (circle O (skS.0 4 a) D NWPNT1)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 5 a a_1) D U)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 5 a a_1) U)) % 9.76/9.97 (perp (skS.0 5 a a_1) D (skS.0 4 a) U)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V)) % 9.76/9.97 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) → % 9.76/9.97 cyclic (skS.0 4 a) U D V) % 9.76/9.97 False % 9.76/9.97 Clause #554 (by clausification #[553]): ∀ (a a_1 a_2 a_3 : Iota), % 9.76/9.97 Eq % 9.76/9.97 (Not % 9.76/9.97 (∀ (D U V NWPNT1 : Iota), % 9.76/9.97 And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.97 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) D NWPNT1)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 5 a a_1) D U)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 5 a a_1) U)) % 9.76/9.97 (perp (skS.0 5 a a_1) D (skS.0 4 a) U)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V)) % 9.76/9.97 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) → % 9.76/9.97 cyclic (skS.0 4 a) U D V)) % 9.76/9.97 True % 9.76/9.97 Clause #555 (by clausification #[554]): ∀ (a a_1 a_2 a_3 : Iota), % 9.76/9.97 Eq % 9.76/9.97 (∀ (D U V NWPNT1 : Iota), % 9.76/9.97 And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.97 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) D NWPNT1)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 5 a a_1) D U)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 5 a a_1) U)) % 9.76/9.97 (perp (skS.0 5 a a_1) D (skS.0 4 a) U)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) D V)) % 9.76/9.97 (perp (skS.0 4 a) D (skS.0 6 a a_1 a_2) V)) % 9.76/9.97 (perp (skS.0 6 a a_1 a_2) D (skS.0 4 a) V) → % 9.76/9.97 cyclic (skS.0 4 a) U D V) % 9.76/9.97 False % 9.76/9.97 Clause #556 (by clausification #[555]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.76/9.97 Eq % 9.76/9.97 (Not % 9.76/9.97 (∀ (U V NWPNT1 : Iota), % 9.76/9.97 And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.97 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) U)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) U)) % 9.76/9.97 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) U)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V)) % 9.76/9.97 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) → % 9.76/9.97 cyclic (skS.0 4 a) U (skS.0 8 a a_1 a_2 a_3 a_4) V)) % 9.76/9.97 True % 9.76/9.97 Clause #557 (by clausification #[556]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.76/9.97 Eq % 9.76/9.97 (∀ (U V NWPNT1 : Iota), % 9.76/9.97 And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And % 9.76/9.97 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.97 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 9.76/9.97 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) U)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) U)) % 9.76/9.99 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) U)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V)) % 9.76/9.99 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) → % 9.76/9.99 cyclic (skS.0 4 a) U (skS.0 8 a a_1 a_2 a_3 a_4) V) % 9.76/9.99 False % 9.76/9.99 Clause #558 (by clausification #[557]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.76/9.99 Eq % 9.76/9.99 (Not % 9.76/9.99 (∀ (V NWPNT1 : Iota), % 9.76/9.99 And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.99 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V)) % 9.76/9.99 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) → % 9.76/9.99 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) V)) % 9.76/9.99 True % 9.76/9.99 Clause #559 (by clausification #[558]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 9.76/9.99 Eq % 9.76/9.99 (∀ (V NWPNT1 : Iota), % 9.76/9.99 And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.99 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) V)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) V)) % 9.76/9.99 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) V) → % 9.76/9.99 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) V) % 9.76/9.99 False % 9.76/9.99 Clause #560 (by clausification #[559]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.76/9.99 Eq % 9.76/9.99 (Not % 9.76/9.99 (∀ (NWPNT1 : Iota), % 9.76/9.99 And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And % 9.76/9.99 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/9.99 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/9.99 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/9.99 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) → % 9.76/9.99 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.76/9.99 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 True % 9.76/10.01 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.76/10.01 Eq % 9.76/10.01 (∀ (NWPNT1 : Iota), % 9.76/10.01 And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/10.01 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) NWPNT1)) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) → % 9.76/10.01 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.76/10.01 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 9.76/10.01 False % 9.76/10.01 Clause #562 (by clausification #[561]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.76/10.01 Eq % 9.76/10.01 (Not % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/10.01 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.76/10.01 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) → % 9.76/10.01 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.76/10.01 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 True % 9.76/10.01 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.76/10.01 Eq % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.76/10.01 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.76/10.01 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.76/10.01 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) → % 9.76/10.01 cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.76/10.01 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 9.76/10.01 False % 9.76/10.01 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 9.76/10.01 Eq % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And % 9.76/10.01 (And (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) % 9.86/10.03 (circle (skS.0 7 a a_1 a_2 a_3) (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.86/10.03 (skS.0 11 a a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 9.86/10.03 (perp (skS.0 4 a) (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.86/10.03 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.86/10.03 (perp (skS.0 5 a a_1) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5))) % 9.86/10.03 (perp (skS.0 4 a) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.86/10.03 (perp (skS.0 4 a) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.86/10.03 (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6))) % 9.86/10.03 True % 9.86/10.03 Clause #565 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.03 Eq % 9.86/10.03 (cyclic (skS.0 4 a) (skS.0 9 a a_1 a_2 a_3 a_4 a_5) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.86/10.03 (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.03 False % 9.86/10.03 Clause #566 (by clausification #[564]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.03 Eq (perp (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6)) True % 9.86/10.03 Clause #569 (by superposition #[566, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.03 Or (Eq True False) % 9.86/10.03 (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True) % 9.86/10.03 Clause #570 (by superposition #[566, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 9.86/10.03 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6) True) % 9.86/10.03 (Or (Eq True False) (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_7 a_8) a_5 a_6) False)) % 9.86/10.03 Clause #629 (by clausification #[39]): ∀ (a : Iota), Eq (∀ (B C D P Q : Iota), para a B C D → eqangle a B P Q C D P Q) True % 9.86/10.03 Clause #630 (by clausification #[629]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q : Iota), para a a_1 C D → eqangle a a_1 P Q C D P Q) True % 9.86/10.03 Clause #631 (by clausification #[630]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q : Iota), para a a_1 a_2 D → eqangle a a_1 P Q a_2 D P Q) True % 9.86/10.03 Clause #632 (by clausification #[631]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q : Iota), para a a_1 a_2 a_3 → eqangle a a_1 P Q a_2 a_3 P Q) True % 9.86/10.03 Clause #633 (by clausification #[632]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (Q : Iota), para a a_1 a_2 a_3 → eqangle a a_1 a_4 Q a_2 a_3 a_4 Q) True % 9.86/10.03 Clause #634 (by clausification #[633]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (para a a_1 a_2 a_3 → eqangle a a_1 a_4 a_5 a_2 a_3 a_4 a_5) True % 9.86/10.03 Clause #635 (by clausification #[634]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (eqangle a a_1 a_4 a_5 a_2 a_3 a_4 a_5) True) % 9.86/10.03 Clause #853 (by clausification #[569]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.03 Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True % 9.86/10.03 Clause #854 (by superposition #[853, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.03 Or (Eq True False) % 9.86/10.03 (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True) % 9.86/10.03 Clause #862 (by clausification #[854]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.03 Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True % 9.86/10.03 Clause #959 (by clausification #[570]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 9.86/10.03 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6) True) % 9.86/10.03 (Eq (perp (skS.0 4 a) (skS.0 10 a a_1 a_2 a_3 a_4 a_7 a_8) a_5 a_6) False) % 9.86/10.03 Clause #961 (by superposition #[959, 862]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.86/10.03 Or (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True) % 9.86/10.03 (Eq False True) % 9.86/10.03 Clause #962 (by clausification #[961]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.86/10.03 Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2)) True % 9.86/10.03 Clause #964 (by superposition #[962, 156]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.86/10.06 Or (Eq True False) % 9.86/10.06 (Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True) % 9.86/10.06 Clause #1039 (by clausification #[964]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 9.86/10.06 Eq (para (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4)) True % 9.86/10.06 Clause #1044 (by superposition #[1039, 635]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Or (Eq True False) % 9.86/10.06 (Eq % 9.86/10.06 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) % 9.86/10.06 a_5 a_6) % 9.86/10.06 True) % 9.86/10.06 Clause #1113 (by clausification #[1044]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Eq % 9.86/10.06 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 % 9.86/10.06 a_6) % 9.86/10.06 True % 9.86/10.06 Clause #1121 (by superposition #[1113, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Or (Eq True False) % 9.86/10.06 (Eq % 9.86/10.06 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 % 9.86/10.06 a_5 a_6) % 9.86/10.06 True) % 9.86/10.06 Clause #1125 (by clausification #[1121]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Eq % 9.86/10.06 (eqangle (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3 a_4) a_5 a_6 a_5 % 9.86/10.06 a_6) % 9.86/10.06 True % 9.86/10.06 Clause #1131 (by superposition #[1125, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Or (Eq True False) % 9.86/10.06 (Eq % 9.86/10.06 (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) % 9.86/10.06 (skS.0 8 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.06 True) % 9.86/10.06 Clause #1137 (by clausification #[1131]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Eq % 9.86/10.06 (eqangle a a_1 a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) % 9.86/10.06 (skS.0 8 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.06 True % 9.86/10.06 Clause #1141 (by superposition #[1137, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Or (Eq True False) % 9.86/10.06 (Eq % 9.86/10.06 (eqangle a a_1 a_1 a (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) % 9.86/10.06 (skS.0 8 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.06 True) % 9.86/10.06 Clause #1148 (by clausification #[1141]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Eq % 9.86/10.06 (eqangle a a_1 a_1 a (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) (skS.0 6 a_2 a_3 a_4) % 9.86/10.06 (skS.0 8 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.06 True % 9.86/10.06 Clause #1155 (by superposition #[1148, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Or (Eq True False) % 9.86/10.06 (Eq % 9.86/10.06 (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) a_1 a (skS.0 6 a_2 a_3 a_4) % 9.86/10.06 (skS.0 8 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.06 True) % 9.86/10.06 Clause #1161 (by clausification #[1155]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 9.86/10.06 Eq % 9.86/10.06 (eqangle a a_1 (skS.0 6 a_2 a_3 a_4) (skS.0 8 a_2 a_3 a_4 a_5 a_6) a_1 a (skS.0 6 a_2 a_3 a_4) % 9.86/10.06 (skS.0 8 a_2 a_3 a_4 a_5 a_6)) % 9.86/10.06 True % 9.86/10.06 Clause #1165 (by superposition #[1161, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True) % 9.86/10.06 Clause #1174 (by clausification #[1165]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True % 9.86/10.06 Clause #1177 (by superposition #[1174, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True) % 9.86/10.06 Clause #1191 (by clausification #[1177]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True % 9.86/10.06 Clause #1192 (by superposition #[1191, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True) % 9.86/10.06 Clause #1196 (by superposition #[1191, 635]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True) % 9.86/10.06 Clause #1197 (by clausification #[1192]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True % 9.86/10.06 Clause #1198 (by superposition #[1197, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True) % 9.86/10.06 Clause #1225 (by clausification #[1198]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True % 9.86/10.06 Clause #1227 (by superposition #[1225, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True) % 9.86/10.06 Clause #1236 (by clausification #[1227]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True % 9.86/10.06 Clause #1238 (by superposition #[1236, 125]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False)) % 9.86/10.07 Clause #1346 (by clausification #[1196]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True % 9.86/10.07 Clause #1347 (by superposition #[1346, 162]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False)) % 9.86/10.07 Clause #1361 (by clausification #[1238]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 9.86/10.07 Clause #1363 (by superposition #[1361, 1236]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True) % 9.86/10.07 Clause #1364 (by clausification #[1363]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True % 9.86/10.07 Clause #1388 (by clausification #[1347]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 9.86/10.07 Clause #1389 (by forward demodulation #[1388, 1364]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a_1 a_2 a_2) True) (Eq True False) % 9.86/10.07 Clause #1390 (by clausification #[1389]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_2) True % 9.86/10.07 Clause #1392 (by superposition #[1390, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_2 a_1) True) % 9.86/10.07 Clause #1397 (by clausification #[1392]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_2 a_1) True % 9.86/10.07 Clause #1399 (by superposition #[1397, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a_1 a_2) True) % 9.86/10.07 Clause #1404 (by clausification #[1399]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a_1 a_2) True % 9.86/10.07 Clause #1405 (by superposition #[1404, 174]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a_1 a a_2) True) % 9.86/10.07 Clause #1410 (by clausification #[1405]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a_1 a a_2) True % 9.86/10.07 Clause #1411 (by superposition #[1410, 179]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cyclic a a a_1 a_2) True) % 9.86/10.07 Clause #1416 (by clausification #[1411]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True % 9.86/10.07 Clause #1418 (by superposition #[1416, 290]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cyclic a a a_1 a_3) False)) % 9.86/10.07 Clause #1665 (by clausification #[1418]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a a a_1 a_3) False) % 9.86/10.07 Clause #1669 (by superposition #[1665, 1416]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True) % 9.86/10.07 Clause #1670 (by clausification #[1669]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True % 9.86/10.07 Clause #1676 (by superposition #[1670, 565]): Eq True False % 9.86/10.07 Clause #1678 (by clausification #[1676]): False % 9.86/10.07 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------