%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO238+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 3.86s 4.13s % Output : Proof 3.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO238+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.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 11:35:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.86/4.13 SZS status Theorem for theBenchmark.p % 3.86/4.13 SZS output start Proof for theBenchmark.p % 3.86/4.13 Clause #2 (by assumption #[]): Eq % 3.86/4.13 (∀ (A B L : Iota), % 3.86/4.13 Iff (divides_points L A B) % 3.86/4.13 (Or (And (left_apart_point A L) (left_apart_point B (reverse_line L))) % 3.86/4.13 (And (left_apart_point A (reverse_line L)) (left_apart_point B L)))) % 3.86/4.13 True % 3.86/4.13 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.86/4.13 Clause #31 (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 % 3.86/4.13 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 % 3.86/4.13 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 % 3.86/4.13 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 % 3.86/4.13 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.86/4.13 Clause #85 (by clausification #[2]): ∀ (a : Iota), % 3.86/4.13 Eq % 3.86/4.13 (∀ (B L : Iota), % 3.86/4.13 Iff (divides_points L a B) % 3.86/4.13 (Or (And (left_apart_point a L) (left_apart_point B (reverse_line L))) % 3.86/4.13 (And (left_apart_point a (reverse_line L)) (left_apart_point B L)))) % 3.86/4.13 True % 3.86/4.13 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (∀ (L : Iota), % 3.86/4.13 Iff (divides_points L a a_1) % 3.86/4.13 (Or (And (left_apart_point a L) (left_apart_point a_1 (reverse_line L))) % 3.86/4.13 (And (left_apart_point a (reverse_line L)) (left_apart_point a_1 L)))) % 3.86/4.13 True % 3.86/4.13 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (Iff (divides_points a a_1 a_2) % 3.86/4.13 (Or (And (left_apart_point a_1 a) (left_apart_point a_2 (reverse_line a))) % 3.86/4.13 (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a)))) % 3.86/4.13 True % 3.86/4.13 Clause #89 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), % 3.86/4.13 Or (Eq (divides_points a a_1 a_2) False) % 3.86/4.13 (Eq % 3.86/4.13 (Or (And (left_apart_point a_1 a) (left_apart_point a_2 (reverse_line a))) % 3.86/4.13 (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a))) % 3.86/4.13 True) % 3.86/4.13 Clause #140 (by clausification #[31]): Eq (∀ (A B C L : Iota), And (divides_points L A B) (divides_points L A C) → Not (divides_points L B C)) False % 3.86/4.13 Clause #141 (by clausification #[140]): ∀ (a : Iota), % 3.86/4.13 Eq % 3.86/4.13 (Not % 3.86/4.13 (∀ (B C L : Iota), % 3.86/4.13 And (divides_points L (skS.0 0 a) B) (divides_points L (skS.0 0 a) C) → Not (divides_points L B C))) % 3.86/4.13 True % 3.86/4.13 Clause #142 (by clausification #[141]): ∀ (a : Iota), % 3.86/4.13 Eq % 3.86/4.13 (∀ (B C L : Iota), % 3.86/4.13 And (divides_points L (skS.0 0 a) B) (divides_points L (skS.0 0 a) C) → Not (divides_points L B C)) % 3.86/4.13 False % 3.86/4.13 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (Not % 3.86/4.13 (∀ (C L : Iota), % 3.86/4.13 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) C) → % 3.86/4.13 Not (divides_points L (skS.0 1 a a_1) C))) % 3.86/4.13 True % 3.86/4.13 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (∀ (C L : Iota), % 3.86/4.13 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) C) → % 3.86/4.13 Not (divides_points L (skS.0 1 a a_1) C)) % 3.86/4.13 False % 3.86/4.13 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (Not % 3.86/4.13 (∀ (L : Iota), % 3.86/4.13 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)) → % 3.86/4.13 Not (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 3.86/4.13 True % 3.86/4.13 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (∀ (L : Iota), % 3.86/4.13 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)) → % 3.86/4.13 Not (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 3.86/4.13 False % 3.86/4.13 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.13 Eq % 3.86/4.13 (Not % 3.86/4.13 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) % 3.86/4.13 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 3.86/4.14 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)))) % 3.86/4.14 True % 3.86/4.14 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.14 Eq % 3.86/4.14 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) % 3.86/4.14 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 3.86/4.14 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))) % 3.86/4.14 False % 3.86/4.14 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.14 Eq % 3.86/4.14 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) % 3.86/4.14 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.86/4.14 True % 3.86/4.14 Clause #151 (by clausification #[149]): ∀ (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 % 3.86/4.14 Clause #246 (by clausification #[89]): ∀ (a a_1 a_2 : Iota), % 3.86/4.14 Or (Eq (divides_points a a_1 a_2) False) % 3.86/4.14 (Or (Eq (And (left_apart_point a_1 a) (left_apart_point a_2 (reverse_line a))) True) % 3.86/4.14 (Eq (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a)) True)) % 3.86/4.14 Clause #247 (by clausification #[246]): ∀ (a a_1 a_2 : Iota), % 3.86/4.14 Or (Eq (divides_points a a_1 a_2) False) % 3.86/4.14 (Or (Eq (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a)) True) % 3.86/4.14 (Eq (left_apart_point a_2 (reverse_line a)) True)) % 3.86/4.14 Clause #249 (by clausification #[247]): ∀ (a a_1 a_2 : Iota), % 3.86/4.14 Or (Eq (divides_points a a_1 a_2) False) % 3.86/4.14 (Or (Eq (left_apart_point a_2 (reverse_line a)) True) (Eq (left_apart_point a_2 a) True)) % 3.86/4.14 Clause #251 (by forward demodulation #[249, 83]): ∀ (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)) % 3.86/4.14 Clause #252 (by clausification #[251]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq (left_apart_point a_2 a) True) % 3.86/4.14 Clause #253 (by forward demodulation #[252, 83]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq False True) % 3.86/4.14 Clause #254 (by clausification #[253]): ∀ (a a_1 a_2 : Iota), Eq (divides_points a a_1 a_2) False % 3.86/4.14 Clause #255 (by superposition #[254, 151]): Eq False True % 3.86/4.14 Clause #259 (by clausification #[255]): False % 3.86/4.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------