%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO217+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 07:48:15 PM UTC 2025 % Result : Theorem 6.53s 6.72s % Output : Proof 6.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.10 % Problem : GEO217+1 : TPTP v9.2.0. Released v3.3.0. % 0.02/0.11 % Command : duper %s % 0.11/0.31 % Computer : n019.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Fri Oct 3 11:40:23 EDT 2025 % 0.11/0.32 % CPUTime : % 6.53/6.72 SZS status Theorem for theBenchmark.p % 6.53/6.72 SZS output start Proof for theBenchmark.p % 6.53/6.72 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True % 6.53/6.72 Clause #5 (by assumption #[]): Eq (∀ (X Y Z : Iota), convergent_lines X Y → Or (convergent_lines X Z) (convergent_lines Y Z)) True % 6.53/6.72 Clause #17 (by assumption #[]): Eq (Not (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (convergent_lines L N)) → Not (convergent_lines M N))) % 6.53/6.72 True % 6.53/6.72 Clause #18 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True % 6.53/6.72 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (convergent_lines a a) False % 6.53/6.72 Clause #32 (by clausification #[17]): Eq (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (convergent_lines L N)) → Not (convergent_lines M N)) False % 6.53/6.72 Clause #33 (by clausification #[32]): ∀ (a : Iota), % 6.53/6.72 Eq % 6.53/6.72 (Not % 6.53/6.72 (∀ (M N : Iota), % 6.53/6.72 And (Not (convergent_lines (skS.0 0 a) M)) (Not (convergent_lines (skS.0 0 a) N)) → Not (convergent_lines M N))) % 6.53/6.72 True % 6.53/6.72 Clause #34 (by clausification #[33]): ∀ (a : Iota), % 6.53/6.72 Eq % 6.53/6.72 (∀ (M N : Iota), % 6.53/6.72 And (Not (convergent_lines (skS.0 0 a) M)) (Not (convergent_lines (skS.0 0 a) N)) → Not (convergent_lines M N)) % 6.53/6.72 False % 6.53/6.72 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), % 6.53/6.72 Eq % 6.53/6.72 (Not % 6.53/6.72 (∀ (N : Iota), % 6.53/6.72 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) N)) → % 6.53/6.72 Not (convergent_lines (skS.0 1 a a_1) N))) % 6.53/6.72 True % 6.53/6.72 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), % 6.53/6.72 Eq % 6.53/6.72 (∀ (N : Iota), % 6.53/6.72 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) N)) → % 6.53/6.72 Not (convergent_lines (skS.0 1 a a_1) N)) % 6.53/6.72 False % 6.53/6.72 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota), % 6.53/6.72 Eq % 6.53/6.72 (Not % 6.53/6.72 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) % 6.53/6.72 (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) → % 6.53/6.72 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 6.53/6.72 True % 6.53/6.72 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), % 6.53/6.72 Eq % 6.53/6.72 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) → % 6.53/6.72 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 6.53/6.72 False % 6.53/6.72 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), % 6.53/6.72 Eq (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))) % 6.53/6.72 True % 6.53/6.72 Clause #40 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False % 6.53/6.72 Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) True % 6.53/6.72 Clause #42 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) True % 6.53/6.72 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) False % 6.53/6.72 Clause #80 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), convergent_lines a Y → Or (convergent_lines a Z) (convergent_lines Y Z)) True % 6.53/6.72 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), convergent_lines a a_1 → Or (convergent_lines a Z) (convergent_lines a_1 Z)) True % 6.53/6.72 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines a a_1 → Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True % 6.53/6.72 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota), % 6.53/6.72 Or (Eq (convergent_lines a a_1) False) (Eq (Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True) % 6.53/6.72 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota), % 6.53/6.72 Or (Eq (convergent_lines a a_1) False) (Or (Eq (convergent_lines a a_2) True) (Eq (convergent_lines a_1 a_2) True)) % 6.53/6.72 Clause #119 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) False % 6.53/6.72 Clause #124 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True % 6.53/6.72 Clause #129 (by superposition #[124, 84]): ∀ (a a_1 a_2 a_3 : Iota), % 6.53/6.75 Or (Eq True False) % 6.53/6.75 (Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_2) True)) % 6.53/6.75 Clause #144 (by clausification #[129]): ∀ (a a_1 a_2 a_3 : Iota), % 6.53/6.75 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_2) True) % 6.53/6.75 Clause #150 (by superposition #[144, 84]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.53/6.75 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) % 6.53/6.75 (Or (Eq True False) (Or (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_4) True) (Eq (convergent_lines a_2 a_4) True))) % 6.53/6.75 Clause #170 (by clausification #[150]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.53/6.75 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) % 6.53/6.75 (Or (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_4) True) (Eq (convergent_lines a_2 a_4) True)) % 6.53/6.75 Clause #180 (by superposition #[170, 19]): ∀ (a a_1 a_2 a_3 : Iota), % 6.53/6.75 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) % 6.53/6.75 (Or (Eq (convergent_lines a_2 (skS.0 2 a a_1 a_3)) True) (Eq True False)) % 6.53/6.75 Clause #201 (by clausification #[180]): ∀ (a a_1 a_2 a_3 : Iota), % 6.53/6.75 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines a_2 (skS.0 2 a a_1 a_3)) True) % 6.53/6.75 Clause #202 (by superposition #[201, 43]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 0 a)) True) (Eq True False) % 6.53/6.75 Clause #211 (by clausification #[202]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 0 a)) True % 6.53/6.75 Clause #216 (by superposition #[211, 84]): ∀ (a a_1 a_2 : Iota), % 6.53/6.75 Or (Eq True False) (Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 0 a) a_2) True)) % 6.53/6.75 Clause #236 (by clausification #[216]): ∀ (a a_1 a_2 : Iota), Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 0 a) a_2) True) % 6.53/6.75 Clause #237 (by superposition #[236, 19]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False) % 6.53/6.75 Clause #251 (by clausification #[237]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True % 6.53/6.75 Clause #252 (by superposition #[251, 119]): Eq True False % 6.53/6.75 Clause #261 (by clausification #[252]): False % 6.53/6.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------