%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO249+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:48:22 PM UTC 2025 % Result : Theorem 3.63s 3.85s % Output : Proof 3.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GEO249+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.08/0.14 % Command : duper %s % 0.14/0.36 % Computer : n009.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 12:41:53 EDT 2025 % 0.14/0.36 % CPUTime : % 3.63/3.85 SZS status Theorem for theBenchmark.p % 3.63/3.85 SZS output start Proof for theBenchmark.p % 3.63/3.85 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.63/3.85 Clause #31 (by assumption #[]): Eq % 3.63/3.85 (Not % 3.63/3.85 (∀ (A B L : Iota), % 3.63/3.85 And (left_apart_point A (reverse_line L)) (left_apart_point B (reverse_line (parallel_through_point L A))) → % 3.63/3.85 left_apart_point B (reverse_line L))) % 3.63/3.85 True % 3.63/3.85 Clause #74 (by clausification #[31]): Eq % 3.63/3.85 (∀ (A B L : Iota), % 3.63/3.85 And (left_apart_point A (reverse_line L)) (left_apart_point B (reverse_line (parallel_through_point L A))) → % 3.63/3.85 left_apart_point B (reverse_line L)) % 3.63/3.85 False % 3.63/3.85 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 3.63/3.85 Eq % 3.63/3.85 (Not % 3.63/3.85 (∀ (B L : Iota), % 3.63/3.85 And (left_apart_point (skS.0 0 a) (reverse_line L)) % 3.63/3.85 (left_apart_point B (reverse_line (parallel_through_point L (skS.0 0 a)))) → % 3.63/3.85 left_apart_point B (reverse_line L))) % 3.63/3.85 True % 3.63/3.85 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 3.63/3.85 Eq % 3.63/3.85 (∀ (B L : Iota), % 3.63/3.85 And (left_apart_point (skS.0 0 a) (reverse_line L)) % 3.63/3.85 (left_apart_point B (reverse_line (parallel_through_point L (skS.0 0 a)))) → % 3.63/3.85 left_apart_point B (reverse_line L)) % 3.63/3.85 False % 3.63/3.85 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 3.63/3.85 Eq % 3.63/3.85 (Not % 3.63/3.85 (∀ (L : Iota), % 3.63/3.85 And (left_apart_point (skS.0 0 a) (reverse_line L)) % 3.63/3.85 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point L (skS.0 0 a)))) → % 3.63/3.85 left_apart_point (skS.0 1 a a_1) (reverse_line L))) % 3.63/3.85 True % 3.63/3.85 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 3.63/3.85 Eq % 3.63/3.85 (∀ (L : Iota), % 3.63/3.85 And (left_apart_point (skS.0 0 a) (reverse_line L)) % 3.63/3.85 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point L (skS.0 0 a)))) → % 3.63/3.85 left_apart_point (skS.0 1 a a_1) (reverse_line L)) % 3.63/3.85 False % 3.63/3.85 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 3.63/3.85 Eq % 3.63/3.85 (Not % 3.63/3.85 (And (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) % 3.63/3.85 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) → % 3.63/3.85 left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2)))) % 3.63/3.85 True % 3.63/3.85 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 3.63/3.85 Eq % 3.63/3.85 (And (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) % 3.63/3.85 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) → % 3.63/3.85 left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) % 3.63/3.85 False % 3.63/3.85 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 3.63/3.85 Eq % 3.63/3.85 (And (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) % 3.63/3.85 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))))) % 3.63/3.85 True % 3.63/3.85 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), % 3.63/3.85 Eq (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) True % 3.63/3.85 Clause #127 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.63/3.85 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.63/3.85 Clause #129 (by clausification #[128]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.63/3.85 Clause #130 (by clausification #[129]): ∀ (a a_1 : Iota), Eq (left_apart_point a (reverse_line a_1)) False % 3.63/3.85 Clause #133 (by superposition #[130, 83]): Eq False True % 3.63/3.85 Clause #151 (by clausification #[133]): False % 3.63/3.85 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------