%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO241+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 3.64s 3.87s % Output : Proof 3.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : GEO241+3 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.13 % Command : duper %s % 0.13/0.35 % Computer : n012.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 11:20:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.64/3.87 SZS status Theorem for theBenchmark.p % 3.64/3.87 SZS output start Proof for theBenchmark.p % 3.64/3.87 Clause #20 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True % 3.64/3.87 Clause #36 (by assumption #[]): Eq % 3.64/3.87 (Not % 3.64/3.87 (∀ (A B L : Iota), % 3.64/3.87 And (And (incident_point_and_line A L) (distinct_points A B)) (left_convergent_lines L (line_connecting A B)) → % 3.64/3.87 left_apart_point B L)) % 3.64/3.87 True % 3.64/3.87 Clause #74 (by clausification #[36]): Eq % 3.64/3.87 (∀ (A B L : Iota), % 3.64/3.87 And (And (incident_point_and_line A L) (distinct_points A B)) (left_convergent_lines L (line_connecting A B)) → % 3.64/3.87 left_apart_point B L) % 3.64/3.87 False % 3.64/3.87 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 3.64/3.87 Eq % 3.64/3.87 (Not % 3.64/3.87 (∀ (B L : Iota), % 3.64/3.87 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) B)) % 3.64/3.87 (left_convergent_lines L (line_connecting (skS.0 0 a) B)) → % 3.64/3.87 left_apart_point B L)) % 3.64/3.87 True % 3.64/3.87 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 3.64/3.87 Eq % 3.64/3.87 (∀ (B L : Iota), % 3.64/3.87 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) B)) % 3.64/3.87 (left_convergent_lines L (line_connecting (skS.0 0 a) B)) → % 3.64/3.87 left_apart_point B L) % 3.64/3.87 False % 3.64/3.87 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 3.64/3.87 Eq % 3.64/3.87 (Not % 3.64/3.87 (∀ (L : Iota), % 3.64/3.87 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 3.64/3.87 (left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.64/3.87 left_apart_point (skS.0 1 a a_1) L)) % 3.64/3.87 True % 3.64/3.87 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 3.64/3.87 Eq % 3.64/3.87 (∀ (L : Iota), % 3.64/3.87 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 3.64/3.87 (left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.64/3.87 left_apart_point (skS.0 1 a a_1) L) % 3.64/3.87 False % 3.64/3.87 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 3.64/3.87 Eq % 3.64/3.87 (Not % 3.64/3.87 (And (And (incident_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 3.64/3.87 (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.64/3.87 left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 3.64/3.87 True % 3.64/3.87 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 3.64/3.87 Eq % 3.64/3.87 (And (And (incident_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 3.64/3.87 (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.64/3.87 left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.64/3.87 False % 3.64/3.87 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 3.64/3.87 Eq % 3.64/3.87 (And (And (incident_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 3.64/3.87 (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 3.64/3.87 True % 3.64/3.87 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True % 3.64/3.87 Clause #171 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True % 3.64/3.87 Clause #172 (by clausification #[171]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True % 3.64/3.87 Clause #173 (by clausification #[172]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False % 3.64/3.87 Clause #175 (by clausification #[173]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False % 3.64/3.87 Clause #176 (by superposition #[175, 83]): Eq False True % 3.64/3.87 Clause #177 (by clausification #[176]): False % 3.64/3.87 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------