%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO236+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 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 07:48:19 PM UTC 2025 % Result : Theorem 3.67s 3.83s % Output : Proof 3.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO236+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n012.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 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 12:05:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.67/3.83 SZS status Theorem for theBenchmark.p % 3.67/3.83 SZS output start Proof for theBenchmark.p % 3.67/3.83 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.67/3.83 Clause #31 (by assumption #[]): Eq % 3.67/3.83 (Not % 3.67/3.83 (∀ (A L M : Iota), % 3.67/3.83 And (left_apart_point A L) (left_apart_point A (reverse_line M)) → % 3.67/3.83 Or (unequally_directed_lines L M) (distinct_lines L M))) % 3.67/3.83 True % 3.67/3.83 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 % 3.67/3.83 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 % 3.67/3.83 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 % 3.67/3.83 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.67/3.83 Clause #175 (by clausification #[31]): Eq % 3.67/3.83 (∀ (A L M : Iota), % 3.67/3.83 And (left_apart_point A L) (left_apart_point A (reverse_line M)) → % 3.67/3.83 Or (unequally_directed_lines L M) (distinct_lines L M)) % 3.67/3.83 False % 3.67/3.83 Clause #176 (by clausification #[175]): ∀ (a : Iota), % 3.67/3.83 Eq % 3.67/3.83 (Not % 3.67/3.83 (∀ (L M : Iota), % 3.67/3.83 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) (reverse_line M)) → % 3.67/3.83 Or (unequally_directed_lines L M) (distinct_lines L M))) % 3.67/3.83 True % 3.67/3.83 Clause #177 (by clausification #[176]): ∀ (a : Iota), % 3.67/3.83 Eq % 3.67/3.83 (∀ (L M : Iota), % 3.67/3.83 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) (reverse_line M)) → % 3.67/3.83 Or (unequally_directed_lines L M) (distinct_lines L M)) % 3.67/3.83 False % 3.67/3.83 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota), % 3.67/3.83 Eq % 3.67/3.83 (Not % 3.67/3.83 (∀ (M : Iota), % 3.67/3.83 And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (left_apart_point (skS.0 0 a) (reverse_line M)) → % 3.67/3.83 Or (unequally_directed_lines (skS.0 1 a a_1) M) (distinct_lines (skS.0 1 a a_1) M))) % 3.67/3.83 True % 3.67/3.83 Clause #179 (by clausification #[178]): ∀ (a a_1 : Iota), % 3.67/3.83 Eq % 3.67/3.83 (∀ (M : Iota), % 3.67/3.83 And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (left_apart_point (skS.0 0 a) (reverse_line M)) → % 3.67/3.83 Or (unequally_directed_lines (skS.0 1 a a_1) M) (distinct_lines (skS.0 1 a a_1) M)) % 3.67/3.83 False % 3.67/3.83 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota), % 3.67/3.83 Eq % 3.67/3.83 (Not % 3.67/3.83 (And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) % 3.67/3.83 (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) → % 3.67/3.83 Or (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.67/3.83 (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 3.67/3.83 True % 3.67/3.83 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 : Iota), % 3.67/3.83 Eq % 3.67/3.83 (And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) % 3.67/3.83 (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) → % 3.67/3.83 Or (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.67/3.83 (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 3.67/3.83 False % 3.67/3.83 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), % 3.67/3.83 Eq % 3.67/3.83 (And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) % 3.67/3.83 (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2)))) % 3.67/3.83 True % 3.67/3.83 Clause #184 (by clausification #[182]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) True % 3.67/3.83 Clause #186 (by superposition #[184, 83]): Eq True False % 3.67/3.83 Clause #187 (by clausification #[186]): False % 3.67/3.83 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------