%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO251+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 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 07:48:22 PM UTC 2025 % Result : Theorem 3.81s 3.97s % Output : Proof 3.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO251+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 11:41:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.81/3.97 SZS status Theorem for theBenchmark.p % 3.81/3.97 SZS output start Proof for theBenchmark.p % 3.81/3.97 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.81/3.97 Clause #31 (by assumption #[]): Eq % 3.81/3.97 (Not % 3.81/3.97 (∀ (A B L : Iota), % 3.81/3.97 left_apart_point B (reverse_line (parallel_through_point L A)) → left_apart_point A (parallel_through_point L B))) % 3.81/3.97 True % 3.81/3.97 Clause #74 (by clausification #[31]): Eq % 3.81/3.97 (∀ (A B L : Iota), % 3.81/3.97 left_apart_point B (reverse_line (parallel_through_point L A)) → left_apart_point A (parallel_through_point L B)) % 3.81/3.97 False % 3.81/3.97 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 3.81/3.97 Eq % 3.81/3.97 (Not % 3.81/3.97 (∀ (B L : Iota), % 3.81/3.97 left_apart_point B (reverse_line (parallel_through_point L (skS.0 0 a))) → % 3.81/3.97 left_apart_point (skS.0 0 a) (parallel_through_point L B))) % 3.81/3.97 True % 3.81/3.97 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 3.81/3.97 Eq % 3.81/3.97 (∀ (B L : Iota), % 3.81/3.97 left_apart_point B (reverse_line (parallel_through_point L (skS.0 0 a))) → % 3.81/3.97 left_apart_point (skS.0 0 a) (parallel_through_point L B)) % 3.81/3.97 False % 3.81/3.97 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 3.81/3.97 Eq % 3.81/3.97 (Not % 3.81/3.97 (∀ (L : Iota), % 3.81/3.97 left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point L (skS.0 0 a))) → % 3.81/3.97 left_apart_point (skS.0 0 a) (parallel_through_point L (skS.0 1 a a_1)))) % 3.81/3.97 True % 3.81/3.97 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 3.81/3.97 Eq % 3.81/3.97 (∀ (L : Iota), % 3.81/3.97 left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point L (skS.0 0 a))) → % 3.81/3.97 left_apart_point (skS.0 0 a) (parallel_through_point L (skS.0 1 a a_1))) % 3.81/3.97 False % 3.81/3.97 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 3.81/3.97 Eq % 3.81/3.97 (Not % 3.81/3.97 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) → % 3.81/3.97 left_apart_point (skS.0 0 a) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))) % 3.81/3.97 True % 3.81/3.97 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 3.81/3.97 Eq % 3.81/3.97 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) → % 3.81/3.98 left_apart_point (skS.0 0 a) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))) % 3.81/3.98 False % 3.81/3.98 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 3.81/3.98 Eq (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) True % 3.81/3.98 Clause #153 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.81/3.98 Clause #154 (by clausification #[153]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.81/3.98 Clause #155 (by clausification #[154]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.81/3.98 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (left_apart_point a (reverse_line a_1)) False % 3.81/3.98 Clause #160 (by superposition #[156, 81]): Eq False True % 3.81/3.98 Clause #161 (by clausification #[160]): False % 3.81/3.98 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------