%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO171+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:48:06 PM UTC 2025 % Result : Theorem 3.82s 3.99s % Output : Proof 3.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO171+1 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.14 % Command : duper %s % 0.15/0.35 % Computer : n023.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Fri Oct 3 11:33:23 EDT 2025 % 0.15/0.35 % CPUTime : % 3.82/3.99 SZS status Theorem for theBenchmark.p % 3.82/3.99 SZS output start Proof for theBenchmark.p % 3.82/3.99 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Not (distinct_lines X X)) True % 3.82/3.99 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True % 3.82/3.99 Clause #4 (by assumption #[]): Eq (∀ (X Y Z : Iota), distinct_lines X Y → Or (distinct_lines X Z) (distinct_lines Y Z)) True % 3.82/3.99 Clause #13 (by assumption #[]): Eq (∀ (X Y Z : Iota), convergent_lines X Y → Or (distinct_lines Y Z) (convergent_lines X Z)) True % 3.82/3.99 Clause #14 (by assumption #[]): Eq (Not (∀ (X Y : Iota), convergent_lines X Y → distinct_lines X Y)) True % 3.82/3.99 Clause #15 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True % 3.82/3.99 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (convergent_lines a a) False % 3.82/3.99 Clause #17 (by clausification #[1]): ∀ (a : Iota), Eq (Not (distinct_lines a a)) True % 3.82/3.99 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (distinct_lines a a) False % 3.82/3.99 Clause #21 (by clausification #[14]): Eq (∀ (X Y : Iota), convergent_lines X Y → distinct_lines X Y) False % 3.82/3.99 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), convergent_lines (skS.0 0 a) Y → distinct_lines (skS.0 0 a) Y)) True % 3.82/3.99 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines (skS.0 0 a) Y → distinct_lines (skS.0 0 a) Y) False % 3.82/3.99 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), % 3.82/3.99 Eq (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1) → distinct_lines (skS.0 0 a) (skS.0 1 a a_1))) True % 3.82/3.99 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1) → distinct_lines (skS.0 0 a) (skS.0 1 a a_1)) False % 3.82/3.99 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True % 3.82/3.99 Clause #27 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (distinct_lines (skS.0 0 a) (skS.0 1 a a_1)) False % 3.82/3.99 Clause #51 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), convergent_lines a Y → Or (distinct_lines Y Z) (convergent_lines a Z)) True % 3.82/3.99 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), convergent_lines a a_1 → Or (distinct_lines a_1 Z) (convergent_lines a Z)) True % 3.82/3.99 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines a a_1 → Or (distinct_lines a_1 a_2) (convergent_lines a a_2)) True % 3.82/3.99 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), % 3.82/3.99 Or (Eq (convergent_lines a a_1) False) (Eq (Or (distinct_lines a_1 a_2) (convergent_lines a a_2)) True) % 3.82/3.99 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), % 3.82/3.99 Or (Eq (convergent_lines a a_1) False) (Or (Eq (distinct_lines a_1 a_2) True) (Eq (convergent_lines a a_2) True)) % 3.82/3.99 Clause #56 (by superposition #[55, 26]): ∀ (a a_1 a_2 : Iota), % 3.82/3.99 Or (Eq (distinct_lines (skS.0 1 a a_1) a_2) True) (Or (Eq (convergent_lines (skS.0 0 a) a_2) True) (Eq False True)) % 3.82/3.99 Clause #62 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), distinct_lines a Y → Or (distinct_lines a Z) (distinct_lines Y Z)) True % 3.82/3.99 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), distinct_lines a a_1 → Or (distinct_lines a Z) (distinct_lines a_1 Z)) True % 3.82/3.99 Clause #64 (by clausification #[63]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines a a_1 → Or (distinct_lines a a_2) (distinct_lines a_1 a_2)) True % 3.82/3.99 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota), % 3.82/3.99 Or (Eq (distinct_lines a a_1) False) (Eq (Or (distinct_lines a a_2) (distinct_lines a_1 a_2)) True) % 3.82/3.99 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota), % 3.82/3.99 Or (Eq (distinct_lines a a_1) False) (Or (Eq (distinct_lines a a_2) True) (Eq (distinct_lines a_1 a_2) True)) % 3.82/3.99 Clause #87 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 0 a) a_2) True) % 3.82/3.99 Clause #89 (by superposition #[87, 66]): ∀ (a a_1 a_2 a_3 : Iota), % 3.82/3.99 Or (Eq (convergent_lines (skS.0 0 a) a_1) True) % 3.82/3.99 (Or (Eq True False) (Or (Eq (distinct_lines (skS.0 1 a a_2) a_3) True) (Eq (distinct_lines a_1 a_3) True))) % 3.84/3.99 Clause #115 (by clausification #[89]): ∀ (a a_1 a_2 a_3 : Iota), % 3.84/3.99 Or (Eq (convergent_lines (skS.0 0 a) a_1) True) % 3.84/3.99 (Or (Eq (distinct_lines (skS.0 1 a a_2) a_3) True) (Eq (distinct_lines a_1 a_3) True)) % 3.84/3.99 Clause #121 (by superposition #[115, 18]): ∀ (a a_1 a_2 : Iota), % 3.84/3.99 Or (Eq (convergent_lines (skS.0 0 a) a_1) True) (Or (Eq (distinct_lines a_1 (skS.0 1 a a_2)) True) (Eq True False)) % 3.84/3.99 Clause #128 (by clausification #[121]): ∀ (a a_1 a_2 : Iota), Or (Eq (convergent_lines (skS.0 0 a) a_1) True) (Eq (distinct_lines a_1 (skS.0 1 a a_2)) True) % 3.84/3.99 Clause #129 (by superposition #[128, 27]): ∀ (a : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False) % 3.84/3.99 Clause #131 (by clausification #[129]): ∀ (a : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True % 3.84/3.99 Clause #132 (by superposition #[131, 16]): Eq True False % 3.84/3.99 Clause #136 (by clausification #[132]): False % 3.84/3.99 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------