%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO235+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 4.08s 4.24s % Output : Proof 4.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO235+3 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n004.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 11:39:53 EDT 2025 % 0.13/0.34 % CPUTime : % 4.08/4.24 SZS status Theorem for theBenchmark.p % 4.08/4.24 SZS output start Proof for theBenchmark.p % 4.08/4.24 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 4.08/4.24 Clause #36 (by assumption #[]): Eq (Not (∀ (A B L : Iota), And (left_apart_point A L) (right_apart_point B L) → distinct_points A B)) True % 4.08/4.24 Clause #74 (by clausification #[36]): Eq (∀ (A B L : Iota), And (left_apart_point A L) (right_apart_point B L) → distinct_points A B) False % 4.08/4.24 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 4.08/4.24 Eq % 4.08/4.24 (Not (∀ (B L : Iota), And (left_apart_point (skS.0 0 a) L) (right_apart_point B L) → distinct_points (skS.0 0 a) B)) % 4.08/4.24 True % 4.08/4.24 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 4.08/4.24 Eq (∀ (B L : Iota), And (left_apart_point (skS.0 0 a) L) (right_apart_point B L) → distinct_points (skS.0 0 a) B) % 4.08/4.24 False % 4.08/4.24 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 4.08/4.24 Eq % 4.08/4.24 (Not % 4.08/4.24 (∀ (L : Iota), % 4.08/4.24 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 1 a a_1) L) → % 4.08/4.24 distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 4.08/4.24 True % 4.08/4.24 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 4.08/4.24 Eq % 4.08/4.24 (∀ (L : Iota), % 4.08/4.24 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 1 a a_1) L) → % 4.08/4.24 distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 4.08/4.24 False % 4.08/4.24 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 4.08/4.24 Eq % 4.08/4.24 (Not % 4.08/4.24 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) (right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → % 4.08/4.24 distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 4.08/4.24 True % 4.08/4.24 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 4.08/4.24 Eq % 4.08/4.24 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) (right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → % 4.08/4.24 distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 4.08/4.24 False % 4.08/4.24 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 4.08/4.24 Eq (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) (right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 4.08/4.24 True % 4.08/4.24 Clause #84 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) True % 4.08/4.24 Clause #184 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 4.08/4.24 Clause #185 (by clausification #[184]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 4.08/4.24 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 4.08/4.24 Clause #188 (by clausification #[186]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 4.08/4.24 Clause #391 (by superposition #[84, 188]): Eq False True % 4.08/4.24 Clause #392 (by clausification #[391]): False % 4.08/4.24 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------