%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO235+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 4.16s 4.38s % Output : Proof 4.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.14 % Problem : GEO235+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.07/0.15 % Command : duper %s % 0.16/0.37 % Computer : n029.cluster.edu % 0.16/0.37 % Model : x86_64 x86_64 % 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.37 % Memory : 8042.1875MB % 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.37 % CPULimit : 300 % 0.16/0.37 % WCLimit : 300 % 0.16/0.37 % DateTime : Fri Oct 3 11:20:53 EDT 2025 % 0.16/0.37 % CPUTime : % 4.16/4.38 SZS status Theorem for theBenchmark.p % 4.16/4.38 SZS output start Proof for theBenchmark.p % 4.16/4.38 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 4.16/4.38 Clause #31 (by assumption #[]): Eq (Not (∀ (A B L : Iota), And (left_apart_point A L) (left_apart_point B (reverse_line L)) → distinct_points A B)) True % 4.16/4.38 Clause #63 (by clausification #[31]): Eq (∀ (A B L : Iota), And (left_apart_point A L) (left_apart_point B (reverse_line L)) → distinct_points A B) False % 4.16/4.38 Clause #64 (by clausification #[63]): ∀ (a : Iota), % 4.16/4.38 Eq % 4.16/4.38 (Not % 4.16/4.38 (∀ (B L : Iota), % 4.16/4.38 And (left_apart_point (skS.0 0 a) L) (left_apart_point B (reverse_line L)) → distinct_points (skS.0 0 a) B)) % 4.16/4.38 True % 4.16/4.38 Clause #65 (by clausification #[64]): ∀ (a : Iota), % 4.16/4.38 Eq % 4.16/4.38 (∀ (B L : Iota), % 4.16/4.38 And (left_apart_point (skS.0 0 a) L) (left_apart_point B (reverse_line L)) → distinct_points (skS.0 0 a) B) % 4.16/4.38 False % 4.16/4.38 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), % 4.16/4.38 Eq % 4.16/4.38 (Not % 4.16/4.38 (∀ (L : Iota), % 4.16/4.38 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 1 a a_1) (reverse_line L)) → % 4.16/4.38 distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 4.16/4.38 True % 4.16/4.38 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), % 4.16/4.38 Eq % 4.16/4.38 (∀ (L : Iota), % 4.16/4.38 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 1 a a_1) (reverse_line L)) → % 4.16/4.38 distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 4.16/4.38 False % 4.16/4.38 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), % 4.16/4.38 Eq % 4.16/4.38 (Not % 4.16/4.38 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 4.16/4.38 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) → % 4.16/4.38 distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 4.16/4.38 True % 4.16/4.38 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), % 4.16/4.38 Eq % 4.16/4.38 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 4.16/4.38 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) → % 4.16/4.38 distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 4.16/4.38 False % 4.16/4.38 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 4.16/4.38 Eq % 4.16/4.38 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 4.16/4.38 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2)))) % 4.16/4.38 True % 4.16/4.38 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True % 4.16/4.38 Clause #92 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 4.16/4.38 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 4.16/4.38 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 4.16/4.38 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota), Eq (left_apart_point a (reverse_line a_1)) False % 4.16/4.38 Clause #97 (by superposition #[95, 72]): Eq False True % 4.16/4.38 Clause #107 (by clausification #[97]): False % 4.16/4.38 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------