%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO238+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 23.61s 23.78s % Output : Proof 23.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO238+3 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.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 12:37:23 EDT 2025 % 0.13/0.34 % CPUTime : % 23.61/23.78 SZS status Theorem for theBenchmark.p % 23.61/23.78 SZS output start Proof for theBenchmark.p % 23.61/23.78 Clause #7 (by assumption #[]): Eq % 23.61/23.78 (∀ (A B L : Iota), % 23.61/23.78 Iff (divides_points L A B) % 23.61/23.78 (Or (And (left_apart_point A L) (right_apart_point B L)) (And (right_apart_point A L) (left_apart_point B L)))) % 23.61/23.78 True % 23.61/23.78 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 23.61/23.78 Clause #36 (by assumption #[]): Eq (Not (∀ (A B C L : Iota), And (divides_points L A B) (divides_points L A C) → Not (divides_points L B C))) True % 23.61/23.78 Clause #132 (by clausification #[7]): ∀ (a : Iota), % 23.61/23.78 Eq % 23.61/23.78 (∀ (B L : Iota), % 23.61/23.78 Iff (divides_points L a B) % 23.61/23.78 (Or (And (left_apart_point a L) (right_apart_point B L)) (And (right_apart_point a L) (left_apart_point B L)))) % 23.61/23.78 True % 23.61/23.78 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (∀ (L : Iota), % 23.61/23.78 Iff (divides_points L a a_1) % 23.61/23.78 (Or (And (left_apart_point a L) (right_apart_point a_1 L)) % 23.61/23.78 (And (right_apart_point a L) (left_apart_point a_1 L)))) % 23.61/23.78 True % 23.61/23.78 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (Iff (divides_points a a_1 a_2) % 23.61/23.78 (Or (And (left_apart_point a_1 a) (right_apart_point a_2 a)) % 23.61/23.78 (And (right_apart_point a_1 a) (left_apart_point a_2 a)))) % 23.61/23.78 True % 23.61/23.78 Clause #136 (by clausification #[134]): ∀ (a a_1 a_2 : Iota), % 23.61/23.78 Or (Eq (divides_points a a_1 a_2) False) % 23.61/23.78 (Eq % 23.61/23.78 (Or (And (left_apart_point a_1 a) (right_apart_point a_2 a)) % 23.61/23.78 (And (right_apart_point a_1 a) (left_apart_point a_2 a))) % 23.61/23.78 True) % 23.61/23.78 Clause #163 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 23.61/23.78 Clause #164 (by clausification #[163]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 23.61/23.78 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 23.61/23.78 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 23.61/23.78 Clause #258 (by clausification #[36]): Eq (∀ (A B C L : Iota), And (divides_points L A B) (divides_points L A C) → Not (divides_points L B C)) False % 23.61/23.78 Clause #259 (by clausification #[258]): ∀ (a : Iota), % 23.61/23.78 Eq % 23.61/23.78 (Not % 23.61/23.78 (∀ (B C L : Iota), % 23.61/23.78 And (divides_points L (skS.0 0 a) B) (divides_points L (skS.0 0 a) C) → Not (divides_points L B C))) % 23.61/23.78 True % 23.61/23.78 Clause #260 (by clausification #[259]): ∀ (a : Iota), % 23.61/23.78 Eq % 23.61/23.78 (∀ (B C L : Iota), % 23.61/23.78 And (divides_points L (skS.0 0 a) B) (divides_points L (skS.0 0 a) C) → Not (divides_points L B C)) % 23.61/23.78 False % 23.61/23.78 Clause #261 (by clausification #[260]): ∀ (a a_1 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (Not % 23.61/23.78 (∀ (C L : Iota), % 23.61/23.78 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) C) → % 23.61/23.78 Not (divides_points L (skS.0 1 a a_1) C))) % 23.61/23.78 True % 23.61/23.78 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (∀ (C L : Iota), % 23.61/23.78 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) C) → % 23.61/23.78 Not (divides_points L (skS.0 1 a a_1) C)) % 23.61/23.78 False % 23.61/23.78 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (Not % 23.61/23.78 (∀ (L : Iota), % 23.61/23.78 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 23.61/23.78 Not (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 23.61/23.78 True % 23.61/23.78 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (∀ (L : Iota), % 23.61/23.78 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 23.61/23.78 Not (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 23.61/23.78 False % 23.61/23.78 Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota), % 23.61/23.78 Eq % 23.61/23.78 (Not % 23.61/23.78 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) % 23.61/23.78 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 23.61/23.78 Not (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 23.65/23.84 True % 23.65/23.84 Clause #266 (by clausification #[265]): ∀ (a a_1 a_2 a_3 : Iota), % 23.65/23.84 Eq % 23.65/23.84 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) % 23.65/23.84 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 23.65/23.84 Not (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 23.65/23.84 False % 23.65/23.84 Clause #267 (by clausification #[266]): ∀ (a a_1 a_2 a_3 : Iota), % 23.65/23.84 Eq % 23.65/23.84 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) % 23.65/23.84 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 23.65/23.84 True % 23.65/23.84 Clause #269 (by clausification #[267]): ∀ (a a_1 a_2 a_3 : Iota), Eq (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) True % 23.65/23.84 Clause #460 (by clausification #[136]): ∀ (a a_1 a_2 : Iota), % 23.65/23.84 Or (Eq (divides_points a a_1 a_2) False) % 23.65/23.84 (Or (Eq (And (left_apart_point a_1 a) (right_apart_point a_2 a)) True) % 23.65/23.84 (Eq (And (right_apart_point a_1 a) (left_apart_point a_2 a)) True)) % 23.65/23.84 Clause #462 (by clausification #[460]): ∀ (a a_1 a_2 : Iota), % 23.65/23.84 Or (Eq (divides_points a a_1 a_2) False) % 23.65/23.84 (Or (Eq (And (right_apart_point a_1 a) (left_apart_point a_2 a)) True) (Eq (left_apart_point a_1 a) True)) % 23.65/23.84 Clause #7438 (by clausification #[462]): ∀ (a a_1 a_2 : Iota), % 23.65/23.84 Or (Eq (divides_points a a_1 a_2) False) (Or (Eq (left_apart_point a_1 a) True) (Eq (left_apart_point a_2 a) True)) % 23.65/23.84 Clause #7440 (by forward demodulation #[7438, 167]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Or (Eq False True) (Eq (left_apart_point a_2 a) True)) % 23.65/23.84 Clause #7441 (by clausification #[7440]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq (left_apart_point a_2 a) True) % 23.65/23.84 Clause #7442 (by forward demodulation #[7441, 167]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq False True) % 23.65/23.84 Clause #7443 (by clausification #[7442]): ∀ (a a_1 a_2 : Iota), Eq (divides_points a a_1 a_2) False % 23.65/23.84 Clause #7444 (by superposition #[7443, 269]): Eq False True % 23.65/23.84 Clause #7445 (by clausification #[7444]): False % 23.65/23.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------