%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO171+2 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 3.56s 3.76s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO171+2 : TPTP v9.2.0. Released v3.3.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.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 12:31:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.56/3.76 SZS status Theorem for theBenchmark.p % 3.56/3.76 SZS output start Proof for theBenchmark.p % 3.56/3.76 Clause #11 (by assumption #[]): Eq (∀ (X Y : Iota), convergent_lines X Y → distinct_lines X Y) True % 3.56/3.76 Clause #12 (by assumption #[]): Eq (Not (∀ (X Y : Iota), convergent_lines X Y → distinct_lines X Y)) True % 3.56/3.76 Clause #19 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines a Y → distinct_lines a Y) True % 3.56/3.76 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (convergent_lines a a_1 → distinct_lines a a_1) True % 3.56/3.76 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) False) (Eq (distinct_lines a a_1) True) % 3.56/3.76 Clause #22 (by clausification #[12]): Eq (∀ (X Y : Iota), convergent_lines X Y → distinct_lines X Y) False % 3.56/3.76 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), convergent_lines (skS.0 0 a) Y → distinct_lines (skS.0 0 a) Y)) True % 3.56/3.76 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines (skS.0 0 a) Y → distinct_lines (skS.0 0 a) Y) False % 3.56/3.76 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 3.56/3.76 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 % 3.56/3.76 Clause #26 (by clausification #[25]): ∀ (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 % 3.56/3.76 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True % 3.56/3.76 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (distinct_lines (skS.0 0 a) (skS.0 1 a a_1)) False % 3.56/3.76 Clause #29 (by superposition #[27, 21]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (distinct_lines (skS.0 0 a) (skS.0 1 a a_1)) True) % 3.56/3.76 Clause #72 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (distinct_lines (skS.0 0 a) (skS.0 1 a a_1)) True % 3.56/3.76 Clause #73 (by superposition #[72, 28]): Eq True False % 3.56/3.76 Clause #75 (by clausification #[73]): False % 3.56/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------