%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO246+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 07:48:21 PM UTC 2025 % Result : Theorem 3.93s 4.13s % Output : Proof 3.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO246+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n031.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 12:26:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.93/4.13 SZS status Theorem for theBenchmark.p % 3.93/4.13 SZS output start Proof for theBenchmark.p % 3.93/4.13 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.93/4.13 Clause #31 (by assumption #[]): Eq % 3.93/4.13 (Not % 3.93/4.13 (∀ (A B C : Iota), % 3.93/4.13 distinct_points A B → % 3.93/4.13 left_apart_point C (reverse_line (line_connecting A B)) → left_apart_point B (line_connecting A C))) % 3.93/4.13 True % 3.93/4.13 Clause #79 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.93/4.13 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.93/4.13 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.93/4.13 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.93/4.13 Clause #140 (by clausification #[31]): Eq % 3.93/4.13 (∀ (A B C : Iota), % 3.93/4.13 distinct_points A B → % 3.93/4.13 left_apart_point C (reverse_line (line_connecting A B)) → left_apart_point B (line_connecting A C)) % 3.93/4.13 False % 3.93/4.13 Clause #141 (by clausification #[140]): ∀ (a : Iota), % 3.93/4.13 Eq % 3.93/4.13 (Not % 3.93/4.13 (∀ (B C : Iota), % 3.93/4.13 distinct_points (skS.0 0 a) B → % 3.93/4.13 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) B)) → % 3.93/4.13 left_apart_point B (line_connecting (skS.0 0 a) C))) % 3.93/4.13 True % 3.93/4.13 Clause #142 (by clausification #[141]): ∀ (a : Iota), % 3.93/4.13 Eq % 3.93/4.13 (∀ (B C : Iota), % 3.93/4.13 distinct_points (skS.0 0 a) B → % 3.93/4.13 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) B)) → % 3.93/4.13 left_apart_point B (line_connecting (skS.0 0 a) C)) % 3.93/4.13 False % 3.93/4.13 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota), % 3.93/4.13 Eq % 3.93/4.13 (Not % 3.93/4.13 (∀ (C : Iota), % 3.93/4.13 distinct_points (skS.0 0 a) (skS.0 1 a a_1) → % 3.93/4.13 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.93/4.13 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) C))) % 3.93/4.13 True % 3.93/4.13 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota), % 3.93/4.13 Eq % 3.93/4.13 (∀ (C : Iota), % 3.93/4.13 distinct_points (skS.0 0 a) (skS.0 1 a a_1) → % 3.93/4.13 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.93/4.13 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) C)) % 3.93/4.13 False % 3.93/4.13 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 : Iota), % 3.93/4.13 Eq % 3.93/4.13 (Not % 3.93/4.13 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) → % 3.93/4.13 left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.93/4.13 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2)))) % 3.93/4.13 True % 3.93/4.13 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota), % 3.93/4.13 Eq % 3.93/4.13 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) → % 3.93/4.13 left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.93/4.13 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.93/4.13 False % 3.93/4.13 Clause #148 (by clausification #[146]): ∀ (a a_1 a_2 : Iota), % 3.93/4.13 Eq % 3.93/4.13 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 3.93/4.13 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.93/4.13 False % 3.93/4.13 Clause #305 (by clausification #[148]): ∀ (a a_1 a_2 : Iota), % 3.93/4.13 Eq (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True % 3.93/4.13 Clause #307 (by superposition #[305, 83]): Eq True False % 3.93/4.13 Clause #308 (by clausification #[307]): False % 3.93/4.13 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------