%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO239+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 07:48:20 PM UTC 2025 % Result : Theorem 3.56s 3.80s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO239+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 12:31:23 EDT 2025 % 0.12/0.34 % CPUTime : % 3.56/3.80 SZS status Theorem for theBenchmark.p % 3.56/3.80 SZS output start Proof for theBenchmark.p % 3.56/3.80 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.56/3.80 Clause #31 (by assumption #[]): Eq % 3.56/3.80 (Not % 3.56/3.80 (∀ (A B L : Iota), % 3.56/3.80 And (Not (apart_point_and_line A L)) (left_apart_point B L) → left_convergent_lines L (line_connecting A B))) % 3.56/3.80 True % 3.56/3.80 Clause #74 (by clausification #[31]): Eq % 3.56/3.80 (∀ (A B L : Iota), % 3.56/3.80 And (Not (apart_point_and_line A L)) (left_apart_point B L) → left_convergent_lines L (line_connecting A B)) % 3.56/3.80 False % 3.56/3.80 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 3.56/3.80 Eq % 3.56/3.80 (Not % 3.56/3.80 (∀ (B L : Iota), % 3.56/3.80 And (Not (apart_point_and_line (skS.0 0 a) L)) (left_apart_point B L) → % 3.56/3.80 left_convergent_lines L (line_connecting (skS.0 0 a) B))) % 3.56/3.80 True % 3.56/3.80 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 3.56/3.80 Eq % 3.56/3.80 (∀ (B L : Iota), % 3.56/3.80 And (Not (apart_point_and_line (skS.0 0 a) L)) (left_apart_point B L) → % 3.56/3.80 left_convergent_lines L (line_connecting (skS.0 0 a) B)) % 3.56/3.80 False % 3.56/3.80 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 3.56/3.80 Eq % 3.56/3.80 (Not % 3.56/3.80 (∀ (L : Iota), % 3.56/3.80 And (Not (apart_point_and_line (skS.0 0 a) L)) (left_apart_point (skS.0 1 a a_1) L) → % 3.56/3.80 left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 3.56/3.80 True % 3.56/3.80 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 3.56/3.80 Eq % 3.56/3.80 (∀ (L : Iota), % 3.56/3.80 And (Not (apart_point_and_line (skS.0 0 a) L)) (left_apart_point (skS.0 1 a a_1) L) → % 3.56/3.80 left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) % 3.56/3.80 False % 3.56/3.80 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 3.56/3.80 Eq % 3.56/3.80 (Not % 3.56/3.80 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.56/3.80 (left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → % 3.56/3.80 left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 3.56/3.80 True % 3.56/3.80 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 3.56/3.80 Eq % 3.56/3.80 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.56/3.80 (left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → % 3.56/3.80 left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) % 3.56/3.80 False % 3.56/3.80 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 3.56/3.80 Eq % 3.56/3.80 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.56/3.80 (left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 3.56/3.80 True % 3.56/3.80 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True % 3.56/3.80 Clause #125 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.56/3.80 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.56/3.80 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.56/3.80 Clause #129 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.56/3.80 Clause #150 (by superposition #[129, 83]): Eq False True % 3.56/3.80 Clause #151 (by clausification #[150]): False % 3.56/3.80 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------