%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO242+3 : TPTP v9.2.0. Released v4.0.0. % 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 07:48:20 PM UTC 2025 % Result : Theorem 5.33s 5.53s % Output : Proof 5.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.10 % Problem : GEO242+3 : TPTP v9.2.0. Released v4.0.0. % 0.02/0.11 % Command : duper %s % 0.11/0.31 % Computer : n002.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Fri Oct 3 12:47:38 EDT 2025 % 0.11/0.31 % CPUTime : % 5.33/5.53 SZS status Theorem for theBenchmark.p % 5.33/5.53 SZS output start Proof for theBenchmark.p % 5.33/5.53 Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (right_convergent_lines X Y) (left_convergent_lines X (reverse_line Y))) True % 5.33/5.53 Clause #20 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True % 5.33/5.53 Clause #36 (by assumption #[]): Eq % 5.33/5.53 (Not % 5.33/5.53 (∀ (A B L : Iota), % 5.33/5.53 And (And (incident_point_and_line A L) (distinct_points A B)) (right_convergent_lines L (line_connecting A B)) → % 5.33/5.53 right_apart_point B L)) % 5.33/5.53 True % 5.33/5.53 Clause #74 (by clausification #[36]): Eq % 5.33/5.53 (∀ (A B L : Iota), % 5.33/5.53 And (And (incident_point_and_line A L) (distinct_points A B)) (right_convergent_lines L (line_connecting A B)) → % 5.33/5.53 right_apart_point B L) % 5.33/5.53 False % 5.33/5.53 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 5.33/5.53 Eq % 5.33/5.53 (Not % 5.33/5.53 (∀ (B L : Iota), % 5.33/5.53 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) B)) % 5.33/5.53 (right_convergent_lines L (line_connecting (skS.0 0 a) B)) → % 5.33/5.53 right_apart_point B L)) % 5.33/5.53 True % 5.33/5.53 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 5.33/5.53 Eq % 5.33/5.53 (∀ (B L : Iota), % 5.33/5.53 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) B)) % 5.33/5.53 (right_convergent_lines L (line_connecting (skS.0 0 a) B)) → % 5.33/5.53 right_apart_point B L) % 5.33/5.53 False % 5.33/5.53 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 5.33/5.53 Eq % 5.33/5.53 (Not % 5.33/5.53 (∀ (L : Iota), % 5.33/5.53 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.33/5.53 (right_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.33/5.53 right_apart_point (skS.0 1 a a_1) L)) % 5.33/5.53 True % 5.33/5.53 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 5.33/5.53 Eq % 5.33/5.53 (∀ (L : Iota), % 5.33/5.53 And (And (incident_point_and_line (skS.0 0 a) L) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.33/5.53 (right_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.33/5.53 right_apart_point (skS.0 1 a a_1) L) % 5.33/5.53 False % 5.33/5.53 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 5.33/5.53 Eq % 5.33/5.53 (Not % 5.33/5.53 (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))) % 5.33/5.53 (right_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.33/5.53 right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 5.33/5.53 True % 5.33/5.53 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 5.33/5.53 Eq % 5.33/5.53 (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))) % 5.33/5.53 (right_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.33/5.53 right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 5.33/5.53 False % 5.33/5.53 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 5.33/5.53 Eq % 5.33/5.53 (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))) % 5.33/5.53 (right_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 5.33/5.53 True % 5.33/5.53 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (right_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True % 5.33/5.53 Clause #92 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (right_convergent_lines a Y) (left_convergent_lines a (reverse_line Y))) True % 5.33/5.53 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Eq (Iff (right_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True % 5.33/5.53 Clause #95 (by clausification #[93]): ∀ (a a_1 : Iota), Or (Eq (right_convergent_lines a a_1) False) (Eq (left_convergent_lines a (reverse_line a_1)) True) % 5.33/5.53 Clause #96 (by superposition #[95, 83]): ∀ (a a_1 a_2 : Iota), % 5.33/5.53 Or (Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True) % 5.33/5.53 (Eq False True) % 5.33/5.53 Clause #159 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True % 5.33/5.53 Clause #160 (by clausification #[159]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True % 5.35/5.53 Clause #161 (by clausification #[160]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False % 5.35/5.53 Clause #163 (by clausification #[161]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False % 5.35/5.53 Clause #440 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), % 5.35/5.53 Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True % 5.35/5.53 Clause #441 (by superposition #[440, 163]): Eq True False % 5.35/5.53 Clause #442 (by clausification #[441]): False % 5.35/5.53 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------