%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO252+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 07:48:22 PM UTC 2025 % Result : Theorem 20.97s 21.18s % Output : Proof 20.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : GEO252+3 : TPTP v9.2.0. Released v4.0.0. % 0.05/0.10 % Command : duper %s % 0.10/0.31 % Computer : n021.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Fri Oct 3 12:48:08 EDT 2025 % 0.10/0.31 % CPUTime : % 20.97/21.18 SZS status Theorem for theBenchmark.p % 20.97/21.18 SZS output start Proof for theBenchmark.p % 20.97/21.18 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 20.97/21.18 Clause #36 (by assumption #[]): Eq % 20.97/21.18 (Not % 20.97/21.18 (∀ (A B L : Iota), % 20.97/21.18 And (left_apart_point A L) (right_apart_point B L) → % 20.97/21.18 And (distinct_points A B) (left_convergent_lines (line_connecting A B) L))) % 20.97/21.18 True % 20.97/21.18 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 % 20.97/21.18 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 % 20.97/21.18 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 % 20.97/21.18 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 20.97/21.18 Clause #361 (by clausification #[36]): Eq % 20.97/21.18 (∀ (A B L : Iota), % 20.97/21.18 And (left_apart_point A L) (right_apart_point B L) → % 20.97/21.18 And (distinct_points A B) (left_convergent_lines (line_connecting A B) L)) % 20.97/21.18 False % 20.97/21.18 Clause #362 (by clausification #[361]): ∀ (a : Iota), % 20.97/21.18 Eq % 20.97/21.18 (Not % 20.97/21.18 (∀ (B L : Iota), % 20.97/21.18 And (left_apart_point (skS.0 0 a) L) (right_apart_point B L) → % 20.97/21.18 And (distinct_points (skS.0 0 a) B) (left_convergent_lines (line_connecting (skS.0 0 a) B) L))) % 20.97/21.18 True % 20.97/21.18 Clause #363 (by clausification #[362]): ∀ (a : Iota), % 20.97/21.18 Eq % 20.97/21.18 (∀ (B L : Iota), % 20.97/21.18 And (left_apart_point (skS.0 0 a) L) (right_apart_point B L) → % 20.97/21.18 And (distinct_points (skS.0 0 a) B) (left_convergent_lines (line_connecting (skS.0 0 a) B) L)) % 20.97/21.18 False % 20.97/21.18 Clause #364 (by clausification #[363]): ∀ (a a_1 : Iota), % 20.97/21.18 Eq % 20.97/21.18 (Not % 20.97/21.18 (∀ (L : Iota), % 20.97/21.18 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 1 a a_1) L) → % 20.97/21.18 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 20.97/21.18 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) L))) % 20.97/21.18 True % 20.97/21.18 Clause #365 (by clausification #[364]): ∀ (a a_1 : Iota), % 20.97/21.18 Eq % 20.97/21.18 (∀ (L : Iota), % 20.97/21.18 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 1 a a_1) L) → % 20.97/21.18 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 20.97/21.18 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) L)) % 20.97/21.18 False % 20.97/21.18 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 : Iota), % 20.97/21.18 Eq % 20.97/21.18 (Not % 20.97/21.18 (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)) → % 20.97/21.18 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 20.97/21.18 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)))) % 20.97/21.18 True % 20.97/21.18 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 : Iota), % 20.97/21.18 Eq % 20.97/21.18 (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)) → % 20.97/21.18 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 20.97/21.18 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) % 20.97/21.18 False % 20.97/21.18 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 : Iota), % 20.97/21.18 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))) % 20.97/21.18 True % 20.97/21.18 Clause #371 (by clausification #[368]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) True % 20.97/21.18 Clause #3349 (by superposition #[371, 167]): Eq True False % 20.97/21.18 Clause #3350 (by clausification #[3349]): False % 20.97/21.18 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------