%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO557+1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:48:41 PM UTC 2025 % Result : Theorem 19.87s 20.06s % Output : Proof 20.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO557+1 : TPTP v9.2.0. Released v7.5.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n010.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 12:20:53 EDT 2025 % 0.13/0.34 % CPUTime : % 19.87/20.06 SZS status Theorem for theBenchmark.p % 19.87/20.06 SZS output start Proof for theBenchmark.p % 19.87/20.06 Clause #0 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll A C B) True % 19.87/20.06 Clause #1 (by assumption #[]): Eq (∀ (A B C : Iota), coll A B C → coll B A C) True % 19.87/20.06 Clause #2 (by assumption #[]): Eq (∀ (A B C D : Iota), And (coll A B C) (coll A B D) → coll C D A) True % 19.87/20.06 Clause #3 (by assumption #[]): Eq (∀ (A B C D : Iota), para A B C D → para A B D C) True % 19.87/20.06 Clause #6 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp A B D C) True % 19.87/20.06 Clause #7 (by assumption #[]): Eq (∀ (A B C D : Iota), perp A B C D → perp C D A B) True % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 Clause #66 (by assumption #[]): Eq (∀ (A B C : Iota), para A B A C → coll A B C) True % 19.87/20.06 Clause #86 (by assumption #[]): Eq (∀ (A B C O : Iota), Exists fun P => circle O A B C → perp P A A O) True % 19.87/20.06 Clause #94 (by assumption #[]): Eq % 19.87/20.06 (Not % 19.87/20.06 (∀ (A C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 19.87/20.06 And % 19.87/20.06 (And % 19.87/20.06 (And % 19.87/20.06 (And (And (And (And (circle O A C K) (circle O A N NWPNT1)) (coll B A K)) (coll B C N)) (circle G A C B)) % 19.87/20.06 (circle O1 K N B)) % 19.87/20.06 (circle G A M NWPNT2)) % 19.87/20.06 (circle O1 K M NWPNT3) → % 19.87/20.06 cyclic M K O C)) % 19.87/20.06 True % 19.87/20.06 Clause #104 (by clausification #[66]): ∀ (a : Iota), Eq (∀ (B C : Iota), para a B a C → coll a B C) True % 19.87/20.06 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), para a a_1 a C → coll a a_1 C) True % 19.87/20.06 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 % 19.87/20.06 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) % 19.87/20.06 Clause #112 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll B a C) True % 19.87/20.06 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a_1 a C) True % 19.87/20.06 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 % 19.87/20.06 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) % 19.87/20.06 Clause #116 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B C : Iota), coll a B C → coll a C B) True % 19.87/20.06 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), coll a a_1 C → coll a C a_1) True % 19.87/20.06 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 % 19.87/20.06 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) % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.87/20.06 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 % 19.93/20.09 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) % 19.93/20.09 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)) % 19.93/20.09 Clause #152 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B C D : Iota), para a B C D → para a B D C) True % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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) % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 a_3 : Iota), % 19.93/20.09 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) % 19.93/20.09 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 a_3 : Iota), % 19.93/20.09 Or (Eq (cyclic a a_1 a_2 a_3) True) % 19.93/20.09 (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)) % 19.93/20.09 Clause #261 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp a B D C) True % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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) % 19.93/20.09 Clause #266 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C D : Iota), perp a B C D → perp C D a B) True % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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) % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 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 % 19.93/20.09 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 19.93/20.09 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) % 19.93/20.11 Clause #290 (by clausification #[289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 19.93/20.11 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)) % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 19.93/20.11 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) % 19.93/20.11 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 19.93/20.11 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)) % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 Clause #348 (by clausification #[347]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 19.93/20.11 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 % 19.93/20.11 Clause #349 (by clausification #[348]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 19.93/20.11 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 % 19.93/20.11 Clause #350 (by clausification #[349]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 19.93/20.11 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 % 19.93/20.11 Clause #351 (by clausification #[350]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 19.93/20.11 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 % 19.93/20.11 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 19.93/20.11 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) % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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 % 19.93/20.11 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) % 19.93/20.11 Clause #370 (by clausification #[86]): ∀ (a : Iota), Eq (∀ (B C O : Iota), Exists fun P => circle O a B C → perp P a a O) True % 19.93/20.14 Clause #371 (by clausification #[370]): ∀ (a a_1 : Iota), Eq (∀ (C O : Iota), Exists fun P => circle O a a_1 C → perp P a a O) True % 19.93/20.14 Clause #372 (by clausification #[371]): ∀ (a a_1 a_2 : Iota), Eq (∀ (O : Iota), Exists fun P => circle O a a_1 a_2 → perp P a a O) True % 19.93/20.14 Clause #373 (by clausification #[372]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Exists fun P => circle a a_1 a_2 a_3 → perp P a_1 a_1 a) True % 19.93/20.14 Clause #374 (by clausification #[373]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (circle a a_1 a_2 a_3 → perp (skS.0 0 a a_1 a_2 a_3 a_4) a_1 a_1 a) True % 19.93/20.14 Clause #375 (by clausification #[374]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 19.93/20.14 Or (Eq (circle a a_1 a_2 a_3) False) (Eq (perp (skS.0 0 a a_1 a_2 a_3 a_4) a_1 a_1 a) True) % 19.93/20.14 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 % 19.93/20.14 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 % 19.93/20.14 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 % 19.93/20.14 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 % 19.93/20.14 Clause #437 (by clausification #[436]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #438 (by clausification #[437]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #439 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #440 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #441 (by clausification #[440]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 19.93/20.14 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) % 19.93/20.14 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 % 19.93/20.14 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 % 19.93/20.14 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 % 19.93/20.14 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 % 19.93/20.14 Clause #492 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #493 (by clausification #[492]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #494 (by clausification #[493]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #495 (by clausification #[494]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 19.93/20.14 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 % 19.93/20.14 Clause #496 (by clausification #[495]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 19.93/20.14 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) % 19.93/20.14 Clause #604 (by clausification #[39]): ∀ (a : Iota), Eq (∀ (B C D P Q : Iota), para a B C D → eqangle a B P Q C D P Q) True % 19.93/20.14 Clause #605 (by clausification #[604]): ∀ (a a_1 : Iota), Eq (∀ (C D P Q : Iota), para a a_1 C D → eqangle a a_1 P Q C D P Q) True % 20.00/20.16 Clause #606 (by clausification #[605]): ∀ (a a_1 a_2 : Iota), Eq (∀ (D P Q : Iota), para a a_1 a_2 D → eqangle a a_1 P Q a_2 D P Q) True % 20.00/20.16 Clause #607 (by clausification #[606]): ∀ (a a_1 a_2 a_3 : Iota), Eq (∀ (P Q : Iota), para a a_1 a_2 a_3 → eqangle a a_1 P Q a_2 a_3 P Q) True % 20.00/20.16 Clause #608 (by clausification #[607]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (∀ (Q : Iota), para a a_1 a_2 a_3 → eqangle a a_1 a_4 Q a_2 a_3 a_4 Q) True % 20.00/20.16 Clause #609 (by clausification #[608]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (para a a_1 a_2 a_3 → eqangle a a_1 a_4 a_5 a_2 a_3 a_4 a_5) True % 20.00/20.16 Clause #610 (by clausification #[609]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (para a a_1 a_2 a_3) False) (Eq (eqangle a a_1 a_4 a_5 a_2 a_3 a_4 a_5) True) % 20.00/20.16 Clause #722 (by clausification #[94]): Eq % 20.00/20.16 (∀ (A C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.00/20.16 And % 20.00/20.16 (And % 20.00/20.16 (And (And (And (And (And (circle O A C K) (circle O A N NWPNT1)) (coll B A K)) (coll B C N)) (circle G A C B)) % 20.00/20.16 (circle O1 K N B)) % 20.00/20.16 (circle G A M NWPNT2)) % 20.00/20.16 (circle O1 K M NWPNT3) → % 20.00/20.16 cyclic M K O C) % 20.00/20.16 False % 20.00/20.16 Clause #723 (by clausification #[722]): ∀ (a : Iota), % 20.00/20.16 Eq % 20.00/20.16 (Not % 20.00/20.16 (∀ (C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.00/20.16 And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And (And (And (circle O (skS.0 11 a) C K) (circle O (skS.0 11 a) N NWPNT1)) (coll B (skS.0 11 a) K)) % 20.00/20.16 (coll B C N)) % 20.00/20.16 (circle G (skS.0 11 a) C B)) % 20.00/20.16 (circle O1 K N B)) % 20.00/20.16 (circle G (skS.0 11 a) M NWPNT2)) % 20.00/20.16 (circle O1 K M NWPNT3) → % 20.00/20.16 cyclic M K O C)) % 20.00/20.16 True % 20.00/20.16 Clause #724 (by clausification #[723]): ∀ (a : Iota), % 20.00/20.16 Eq % 20.00/20.16 (∀ (C K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.00/20.16 And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And (And (And (circle O (skS.0 11 a) C K) (circle O (skS.0 11 a) N NWPNT1)) (coll B (skS.0 11 a) K)) % 20.00/20.16 (coll B C N)) % 20.00/20.16 (circle G (skS.0 11 a) C B)) % 20.00/20.16 (circle O1 K N B)) % 20.00/20.16 (circle G (skS.0 11 a) M NWPNT2)) % 20.00/20.16 (circle O1 K M NWPNT3) → % 20.00/20.16 cyclic M K O C) % 20.00/20.16 False % 20.00/20.16 Clause #725 (by clausification #[724]): ∀ (a a_1 : Iota), % 20.00/20.16 Eq % 20.00/20.16 (Not % 20.00/20.16 (∀ (K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.00/20.16 And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And (And (circle O (skS.0 11 a) (skS.0 12 a a_1) K) (circle O (skS.0 11 a) N NWPNT1)) % 20.00/20.16 (coll B (skS.0 11 a) K)) % 20.00/20.16 (coll B (skS.0 12 a a_1) N)) % 20.00/20.16 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.00/20.16 (circle O1 K N B)) % 20.00/20.16 (circle G (skS.0 11 a) M NWPNT2)) % 20.00/20.16 (circle O1 K M NWPNT3) → % 20.00/20.16 cyclic M K O (skS.0 12 a a_1))) % 20.00/20.16 True % 20.00/20.16 Clause #726 (by clausification #[725]): ∀ (a a_1 : Iota), % 20.00/20.16 Eq % 20.00/20.16 (∀ (K O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.00/20.16 And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And (And (circle O (skS.0 11 a) (skS.0 12 a a_1) K) (circle O (skS.0 11 a) N NWPNT1)) % 20.00/20.16 (coll B (skS.0 11 a) K)) % 20.00/20.16 (coll B (skS.0 12 a a_1) N)) % 20.00/20.16 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.00/20.16 (circle O1 K N B)) % 20.00/20.16 (circle G (skS.0 11 a) M NWPNT2)) % 20.00/20.16 (circle O1 K M NWPNT3) → % 20.00/20.16 cyclic M K O (skS.0 12 a a_1)) % 20.00/20.16 False % 20.00/20.16 Clause #727 (by clausification #[726]): ∀ (a a_1 a_2 : Iota), % 20.00/20.16 Eq % 20.00/20.16 (Not % 20.00/20.16 (∀ (O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.00/20.16 And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And % 20.00/20.16 (And (circle O (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.00/20.16 (circle O (skS.0 11 a) N NWPNT1)) % 20.00/20.16 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.00/20.16 (coll B (skS.0 12 a a_1) N)) % 20.00/20.16 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.00/20.16 (circle O1 (skS.0 13 a a_1 a_2) N B)) % 20.02/20.18 (circle G (skS.0 11 a) M NWPNT2)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.02/20.18 cyclic M (skS.0 13 a a_1 a_2) O (skS.0 12 a a_1))) % 20.02/20.18 True % 20.02/20.18 Clause #728 (by clausification #[727]): ∀ (a a_1 a_2 : Iota), % 20.02/20.18 Eq % 20.02/20.18 (∀ (O N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.02/20.18 And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And (circle O (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) (circle O (skS.0 11 a) N NWPNT1)) % 20.02/20.18 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.02/20.18 (coll B (skS.0 12 a a_1) N)) % 20.02/20.18 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) N B)) % 20.02/20.18 (circle G (skS.0 11 a) M NWPNT2)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.02/20.18 cyclic M (skS.0 13 a a_1 a_2) O (skS.0 12 a a_1)) % 20.02/20.18 False % 20.02/20.18 Clause #729 (by clausification #[728]): ∀ (a a_1 a_2 a_3 : Iota), % 20.02/20.18 Eq % 20.02/20.18 (Not % 20.02/20.18 (∀ (N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.02/20.18 And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.02/20.18 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) N NWPNT1)) % 20.02/20.18 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.02/20.18 (coll B (skS.0 12 a a_1) N)) % 20.02/20.18 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) N B)) % 20.02/20.18 (circle G (skS.0 11 a) M NWPNT2)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.02/20.18 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))) % 20.02/20.18 True % 20.02/20.18 Clause #730 (by clausification #[729]): ∀ (a a_1 a_2 a_3 : Iota), % 20.02/20.18 Eq % 20.02/20.18 (∀ (N B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.02/20.18 And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.02/20.18 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) N NWPNT1)) % 20.02/20.18 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.02/20.18 (coll B (skS.0 12 a a_1) N)) % 20.02/20.18 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) N B)) % 20.02/20.18 (circle G (skS.0 11 a) M NWPNT2)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.02/20.18 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)) % 20.02/20.18 False % 20.02/20.18 Clause #731 (by clausification #[730]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 20.02/20.18 Eq % 20.02/20.18 (Not % 20.02/20.18 (∀ (B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.02/20.18 And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.02/20.18 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.02/20.18 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.02/20.18 (coll B (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.02/20.18 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) B)) % 20.02/20.18 (circle G (skS.0 11 a) M NWPNT2)) % 20.02/20.18 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.02/20.18 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))) % 20.02/20.18 True % 20.02/20.18 Clause #732 (by clausification #[731]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 20.02/20.18 Eq % 20.02/20.18 (∀ (B G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.02/20.18 And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And % 20.02/20.18 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.02/20.18 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.02/20.18 (coll B (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.21 (coll B (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.21 (circle G (skS.0 11 a) (skS.0 12 a a_1) B)) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) B)) % 20.05/20.21 (circle G (skS.0 11 a) M NWPNT2)) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.21 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)) % 20.05/20.21 False % 20.05/20.21 Clause #733 (by clausification #[732]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 20.05/20.21 Eq % 20.05/20.21 (Not % 20.05/20.21 (∀ (G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.21 And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.21 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.21 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.21 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.21 (circle G (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.21 (circle G (skS.0 11 a) M NWPNT2)) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.21 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))) % 20.05/20.21 True % 20.05/20.21 Clause #734 (by clausification #[733]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 20.05/20.21 Eq % 20.05/20.21 (∀ (G O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.21 And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.21 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.21 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.21 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.21 (circle G (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.21 (circle G (skS.0 11 a) M NWPNT2)) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.21 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)) % 20.05/20.21 False % 20.05/20.21 Clause #735 (by clausification #[734]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 20.05/20.21 Eq % 20.05/20.21 (Not % 20.05/20.21 (∀ (O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.21 And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.21 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.21 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.21 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.21 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.05/20.21 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.21 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2)) % 20.05/20.21 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.21 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))) % 20.05/20.21 True % 20.05/20.21 Clause #736 (by clausification #[735]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 20.05/20.21 Eq % 20.05/20.21 (∀ (O1 M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.21 And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And % 20.05/20.21 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.23 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.05/20.23 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.23 (circle O1 (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2)) % 20.05/20.23 (circle O1 (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.23 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)) % 20.05/20.23 False % 20.05/20.23 Clause #737 (by clausification #[736]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.05/20.23 Eq % 20.05/20.23 (Not % 20.05/20.23 (∀ (M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.23 And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.23 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.05/20.23 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.23 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.05/20.23 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2)) % 20.05/20.23 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.23 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1))) % 20.05/20.23 True % 20.05/20.23 Clause #738 (by clausification #[737]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.05/20.23 Eq % 20.05/20.23 (∀ (M NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.23 And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.23 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.05/20.23 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.23 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.05/20.23 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) M NWPNT2)) % 20.05/20.23 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) M NWPNT3) → % 20.05/20.23 cyclic M (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)) % 20.05/20.23 False % 20.05/20.23 Clause #739 (by clausification #[738]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.05/20.23 Eq % 20.05/20.23 (Not % 20.05/20.23 (∀ (NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.05/20.23 And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And % 20.05/20.23 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.05/20.23 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.05/20.23 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.05/20.23 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.05/20.23 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.25 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.25 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.25 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.25 NWPNT2)) % 20.08/20.25 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.25 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) → % 20.08/20.25 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.25 (skS.0 12 a a_1))) % 20.08/20.25 True % 20.08/20.25 Clause #740 (by clausification #[739]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.08/20.25 Eq % 20.08/20.25 (∀ (NWPNT1 NWPNT2 NWPNT3 : Iota), % 20.08/20.25 And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.25 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) NWPNT1)) % 20.08/20.25 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.25 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.25 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.25 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.25 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.25 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.25 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.25 NWPNT2)) % 20.08/20.25 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.25 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) → % 20.08/20.25 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.25 (skS.0 12 a a_1)) % 20.08/20.25 False % 20.08/20.25 Clause #741 (by clausification #[740]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.08/20.25 Eq % 20.08/20.25 (Not % 20.08/20.25 (∀ (NWPNT2 NWPNT3 : Iota), % 20.08/20.25 And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.25 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.25 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.25 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.25 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.25 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.25 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.25 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.25 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.25 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.25 NWPNT2)) % 20.08/20.25 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.25 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) → % 20.08/20.25 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.25 (skS.0 12 a a_1))) % 20.08/20.25 True % 20.08/20.25 Clause #742 (by clausification #[741]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.08/20.25 Eq % 20.08/20.25 (∀ (NWPNT2 NWPNT3 : Iota), % 20.08/20.25 And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And % 20.08/20.25 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.25 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.25 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.25 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.28 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.28 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.28 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.28 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.28 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.28 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.28 NWPNT2)) % 20.08/20.28 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.28 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) → % 20.08/20.28 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.28 (skS.0 12 a a_1)) % 20.08/20.28 False % 20.08/20.28 Clause #743 (by clausification #[742]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 20.08/20.28 Eq % 20.08/20.28 (Not % 20.08/20.28 (∀ (NWPNT3 : Iota), % 20.08/20.28 And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.28 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.28 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.28 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.28 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.28 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.28 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.28 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.28 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.28 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.28 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 20.08/20.28 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.28 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) → % 20.08/20.28 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.28 (skS.0 12 a a_1))) % 20.08/20.28 True % 20.08/20.28 Clause #744 (by clausification #[743]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 20.08/20.28 Eq % 20.08/20.28 (∀ (NWPNT3 : Iota), % 20.08/20.28 And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.28 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.28 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.28 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.28 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.28 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.28 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.28 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.28 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.28 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.28 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.28 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 20.08/20.28 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.28 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) NWPNT3) → % 20.08/20.28 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.28 (skS.0 12 a a_1)) % 20.08/20.28 False % 20.08/20.28 Clause #745 (by clausification #[744]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 20.08/20.28 Eq % 20.08/20.28 (Not % 20.08/20.28 (And % 20.08/20.28 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.30 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.30 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.30 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.30 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.30 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.30 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.30 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.30 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.30 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.30 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 20.08/20.30 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.30 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) → % 20.08/20.30 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.30 (skS.0 12 a a_1))) % 20.08/20.30 True % 20.08/20.30 Clause #746 (by clausification #[745]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 20.08/20.30 Eq % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.30 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.30 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.30 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.30 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.30 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.30 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.30 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.30 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.30 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.30 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 20.08/20.30 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.08/20.30 (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) → % 20.08/20.30 cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) % 20.08/20.30 (skS.0 12 a a_1)) % 20.08/20.30 False % 20.08/20.30 Clause #747 (by clausification #[746]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota), % 20.08/20.30 Eq % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And % 20.08/20.30 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.08/20.30 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.30 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.08/20.30 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.08/20.30 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.08/20.30 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) % 20.08/20.30 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.30 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.08/20.30 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.08/20.30 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.08/20.30 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 20.08/20.30 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.17/20.32 (skS.0 22 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 20.17/20.32 True % 20.17/20.32 Clause #748 (by clausification #[746]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.32 Eq % 20.17/20.32 (cyclic (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) (skS.0 12 a a_1)) % 20.17/20.32 False % 20.17/20.32 Clause #750 (by clausification #[747]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 20.17/20.32 Eq % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.17/20.32 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.32 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.17/20.32 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.17/20.32 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.17/20.32 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.17/20.32 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.32 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.17/20.32 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 19 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 20.17/20.32 (skS.0 21 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 20.17/20.32 True % 20.17/20.32 Clause #863 (by clausification #[750]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.32 Eq % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And % 20.17/20.32 (And (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 13 a a_1 a_2)) % 20.17/20.32 (circle (skS.0 14 a a_1 a_2 a_3) (skS.0 11 a) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.32 (skS.0 20 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 20.17/20.32 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 11 a) (skS.0 13 a a_1 a_2))) % 20.17/20.32 (coll (skS.0 16 a a_1 a_2 a_3 a_4 a_5) (skS.0 12 a a_1) (skS.0 15 a a_1 a_2 a_3 a_4))) % 20.17/20.32 (circle (skS.0 17 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 11 a) (skS.0 12 a a_1) (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.17/20.32 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.32 (skS.0 16 a a_1 a_2 a_3 a_4 a_5))) % 20.17/20.32 True % 20.17/20.32 Clause #1061 (by clausification #[863]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.17/20.32 Eq % 20.17/20.32 (circle (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.32 (skS.0 16 a a_1 a_2 a_3 a_4 a_5)) % 20.17/20.32 True % 20.17/20.32 Clause #1065 (by superposition #[1061, 375]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.32 Or (Eq True False) % 20.17/20.32 (Eq % 20.17/20.32 (perp % 20.17/20.32 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.32 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.32 (skS.0 13 a a_1 a_2) (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 20.17/20.32 True) % 20.17/20.32 Clause #1069 (by clausification #[1065]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.32 Eq % 20.17/20.32 (perp % 20.17/20.32 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.33 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.33 (skS.0 13 a a_1 a_2) (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 20.17/20.33 True % 20.17/20.33 Clause #1072 (by superposition #[1069, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.33 Or (Eq True False) % 20.17/20.33 (Eq % 20.17/20.33 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 20.17/20.33 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.33 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.33 (skS.0 13 a a_1 a_2)) % 20.17/20.33 True) % 20.17/20.33 Clause #1087 (by clausification #[1072]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.33 Eq % 20.17/20.33 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 20.17/20.33 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.33 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.33 (skS.0 13 a a_1 a_2)) % 20.17/20.33 True % 20.17/20.33 Clause #1088 (by superposition #[1087, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.35 Or (Eq True False) % 20.17/20.35 (Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)) % 20.17/20.35 True) % 20.17/20.35 Clause #1098 (by clausification #[1088]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.35 Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8)) % 20.17/20.35 True % 20.17/20.35 Clause #1099 (by superposition #[1098, 270]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.35 Or (Eq True False) % 20.17/20.35 (Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.35 (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 20.17/20.35 True) % 20.17/20.35 Clause #1100 (by superposition #[1098, 305]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 20.17/20.35 Or (Eq (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9) True) % 20.17/20.35 (Or (Eq True False) % 20.17/20.35 (Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_10) % 20.17/20.35 a_8 a_9) % 20.17/20.35 False)) % 20.17/20.35 Clause #1109 (by clausification #[1099]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.35 Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.35 (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 20.17/20.35 True % 20.17/20.35 Clause #1110 (by superposition #[1109, 265]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.35 Or (Eq True False) % 20.17/20.35 (Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.35 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)) % 20.17/20.35 True) % 20.17/20.35 Clause #1121 (by clausification #[1110]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 20.17/20.35 Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_8) % 20.17/20.35 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2)) % 20.17/20.35 True % 20.17/20.35 Clause #1170 (by clausification #[1100]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota), % 20.17/20.35 Or (Eq (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9) True) % 20.17/20.35 (Eq % 20.17/20.35 (perp (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 0 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3 a_4) % 20.17/20.35 (skS.0 16 a a_1 a_2 a_3 a_4 a_5) a_10) % 20.17/20.35 a_8 a_9) % 20.17/20.35 False) % 20.17/20.35 Clause #1178 (by superposition #[1170, 1121]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.17/20.35 Or % 20.17/20.35 (Eq % 20.17/20.35 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 20.17/20.35 (skS.0 13 a a_1 a_2)) % 20.17/20.35 True) % 20.17/20.35 (Eq False True) % 20.17/20.35 Clause #1179 (by clausification #[1178]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.17/20.35 Eq % 20.17/20.35 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) % 20.17/20.35 (skS.0 13 a a_1 a_2)) % 20.17/20.35 True % 20.17/20.35 Clause #1181 (by superposition #[1179, 156]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.17/20.35 Or (Eq True False) % 20.17/20.35 (Eq % 20.17/20.35 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 20.17/20.35 True) % 20.17/20.35 Clause #1278 (by clausification #[1181]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 20.17/20.35 Eq % 20.17/20.35 (para (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.17/20.35 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 20.17/20.35 True % 20.17/20.35 Clause #1283 (by superposition #[1278, 610]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.37 Or (Eq True False) % 20.17/20.37 (Eq % 20.17/20.37 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 (skS.0 13 a a_1 a_2) % 20.17/20.37 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9) % 20.17/20.37 True) % 20.17/20.37 Clause #1286 (by clausification #[1283]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.37 Eq % 20.17/20.37 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 (skS.0 13 a a_1 a_2) % 20.17/20.37 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9) % 20.17/20.37 True % 20.17/20.37 Clause #1294 (by superposition #[1286, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.37 Or (Eq True False) % 20.17/20.37 (Eq % 20.17/20.37 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.17/20.37 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 a_8 a_9) % 20.17/20.37 True) % 20.17/20.37 Clause #1298 (by clausification #[1294]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.37 Eq % 20.17/20.37 (eqangle (skS.0 13 a a_1 a_2) (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 13 a a_1 a_2) % 20.17/20.38 (skS.0 18 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) a_8 a_9 a_8 a_9) % 20.17/20.38 True % 20.17/20.38 Clause #1304 (by superposition #[1298, 441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.38 Or (Eq True False) % 20.17/20.38 (Eq % 20.17/20.38 (eqangle a a_1 a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4) % 20.17/20.38 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 20.17/20.38 True) % 20.17/20.38 Clause #1310 (by clausification #[1304]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.38 Eq % 20.17/20.38 (eqangle a a_1 a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4) % 20.17/20.38 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 20.17/20.38 True % 20.17/20.38 Clause #1314 (by superposition #[1310, 352]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.38 Or (Eq True False) % 20.17/20.38 (Eq % 20.17/20.38 (eqangle a a_1 a_1 a (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4) % 20.17/20.38 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 20.17/20.38 True) % 20.17/20.38 Clause #1321 (by clausification #[1314]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.38 Eq % 20.17/20.38 (eqangle a a_1 a_1 a (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) (skS.0 13 a_2 a_3 a_4) % 20.17/20.38 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 20.17/20.38 True % 20.17/20.38 Clause #1328 (by superposition #[1321, 496]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.38 Or (Eq True False) % 20.17/20.38 (Eq % 20.17/20.38 (eqangle a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) a_1 a (skS.0 13 a_2 a_3 a_4) % 20.17/20.38 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 20.17/20.38 True) % 20.17/20.38 Clause #1334 (by clausification #[1328]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 20.17/20.38 Eq % 20.17/20.38 (eqangle a a_1 (skS.0 13 a_2 a_3 a_4) (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) a_1 a (skS.0 13 a_2 a_3 a_4) % 20.17/20.38 (skS.0 18 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 20.17/20.38 True % 20.17/20.38 Clause #1338 (by superposition #[1334, 359]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a_1 a) True) % 20.17/20.38 Clause #1347 (by clausification #[1338]): ∀ (a a_1 : Iota), Eq (para a a_1 a_1 a) True % 20.17/20.38 Clause #1350 (by superposition #[1347, 156]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (para a a_1 a a_1) True) % 20.17/20.38 Clause #1364 (by clausification #[1350]): ∀ (a a_1 : Iota), Eq (para a a_1 a a_1) True % 20.17/20.38 Clause #1365 (by superposition #[1364, 107]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a_1) True) % 20.17/20.38 Clause #1369 (by superposition #[1364, 610]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True) % 20.17/20.38 Clause #1370 (by clausification #[1365]): ∀ (a a_1 : Iota), Eq (coll a a_1 a_1) True % 20.17/20.38 Clause #1371 (by superposition #[1370, 115]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a_1 a) True) % 20.17/20.38 Clause #1381 (by clausification #[1371]): ∀ (a a_1 : Iota), Eq (coll a a_1 a) True % 20.17/20.38 Clause #1383 (by superposition #[1381, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (coll a a a_1) True) % 20.17/20.38 Clause #1392 (by clausification #[1383]): ∀ (a a_1 : Iota), Eq (coll a a a_1) True % 20.17/20.38 Clause #1394 (by superposition #[1392, 125]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Or (Eq True False) (Eq (coll a_2 a_2 a_1) False)) % 20.17/20.40 Clause #1414 (by clausification #[1394]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq (coll a_2 a_2 a_1) False) % 20.17/20.40 Clause #1416 (by superposition #[1414, 1392]): ∀ (a a_1 a_2 : Iota), Or (Eq (coll a a_1 a_2) True) (Eq False True) % 20.17/20.40 Clause #1417 (by clausification #[1416]): ∀ (a a_1 a_2 : Iota), Eq (coll a a_1 a_2) True % 20.17/20.40 Clause #1425 (by backward demodulation #[1417, 162]): ∀ (a a_1 a_2 a_3 : Iota), % 20.17/20.40 Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False) (Eq True False)) % 20.17/20.40 Clause #1443 (by clausification #[1369]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a_2 a_3 a a_1 a_2 a_3) True % 20.17/20.40 Clause #1446 (by superposition #[1443, 496]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True) % 20.17/20.40 Clause #1448 (by clausification #[1446]): ∀ (a a_1 a_2 a_3 : Iota), Eq (eqangle a a_1 a a_1 a_2 a_3 a_2 a_3) True % 20.17/20.40 Clause #1548 (by clausification #[1425]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (eqangle a_2 a a_2 a_1 a_3 a a_3 a_1) False) % 20.17/20.40 Clause #1550 (by superposition #[1548, 1448]): ∀ (a a_1 a_2 : Iota), Or (Eq (cyclic a a a_1 a_2) True) (Eq False True) % 20.17/20.40 Clause #1583 (by clausification #[1550]): ∀ (a a_1 a_2 : Iota), Eq (cyclic a a a_1 a_2) True % 20.17/20.40 Clause #1587 (by superposition #[1583, 290]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Or (Eq True False) (Eq (cyclic a a a_1 a_3) False)) % 20.17/20.40 Clause #1831 (by clausification #[1587]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq (cyclic a a a_1 a_3) False) % 20.17/20.40 Clause #1832 (by superposition #[1831, 1583]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cyclic a a_1 a_2 a_3) True) (Eq False True) % 20.17/20.40 Clause #1837 (by clausification #[1832]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cyclic a a_1 a_2 a_3) True % 20.17/20.40 Clause #1845 (by superposition #[1837, 748]): Eq True False % 20.17/20.40 Clause #1847 (by clausification #[1845]): False % 20.17/20.40 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------