%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO250+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 3.77s 3.96s % Output : Proof 3.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO250+3 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.14 % Command : duper %s % 0.15/0.35 % Computer : n001.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 11:54:38 EDT 2025 % 0.15/0.35 % CPUTime : % 3.77/3.96 SZS status Theorem for theBenchmark.p % 3.77/3.96 SZS output start Proof for theBenchmark.p % 3.77/3.96 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.77/3.96 Clause #36 (by assumption #[]): Eq % 3.77/3.96 (Not % 3.77/3.96 (∀ (A B L : Iota), % 3.77/3.96 left_apart_point B (parallel_through_point L A) → right_apart_point A (parallel_through_point L B))) % 3.77/3.96 True % 3.77/3.96 Clause #74 (by clausification #[36]): Eq % 3.77/3.96 (∀ (A B L : Iota), left_apart_point B (parallel_through_point L A) → right_apart_point A (parallel_through_point L B)) % 3.77/3.96 False % 3.77/3.96 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 3.77/3.96 Eq % 3.77/3.96 (Not % 3.77/3.96 (∀ (B L : Iota), % 3.77/3.96 left_apart_point B (parallel_through_point L (skS.0 0 a)) → % 3.77/3.96 right_apart_point (skS.0 0 a) (parallel_through_point L B))) % 3.77/3.96 True % 3.77/3.96 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 3.77/3.96 Eq % 3.77/3.96 (∀ (B L : Iota), % 3.77/3.96 left_apart_point B (parallel_through_point L (skS.0 0 a)) → % 3.77/3.96 right_apart_point (skS.0 0 a) (parallel_through_point L B)) % 3.77/3.96 False % 3.77/3.96 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 3.77/3.96 Eq % 3.77/3.96 (Not % 3.77/3.96 (∀ (L : Iota), % 3.77/3.96 left_apart_point (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a)) → % 3.77/3.96 right_apart_point (skS.0 0 a) (parallel_through_point L (skS.0 1 a a_1)))) % 3.77/3.96 True % 3.77/3.96 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 3.77/3.96 Eq % 3.77/3.96 (∀ (L : Iota), % 3.77/3.96 left_apart_point (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a)) → % 3.77/3.96 right_apart_point (skS.0 0 a) (parallel_through_point L (skS.0 1 a a_1))) % 3.77/3.96 False % 3.77/3.96 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 3.77/3.96 Eq % 3.77/3.96 (Not % 3.77/3.96 (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)) → % 3.77/3.96 right_apart_point (skS.0 0 a) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))) % 3.77/3.96 True % 3.77/3.96 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 3.77/3.96 Eq % 3.77/3.96 (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)) → % 3.77/3.96 right_apart_point (skS.0 0 a) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))) % 3.77/3.96 False % 3.77/3.96 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 3.77/3.96 Eq (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) True % 3.77/3.96 Clause #224 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.77/3.96 Clause #225 (by clausification #[224]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.77/3.96 Clause #226 (by clausification #[225]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.77/3.96 Clause #228 (by clausification #[226]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.77/3.96 Clause #231 (by superposition #[228, 81]): Eq False True % 3.77/3.96 Clause #232 (by clausification #[231]): False % 3.77/3.96 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------