%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO252+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 3.73s 3.93s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO252+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n027.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 12:07:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.73/3.93 SZS status Theorem for theBenchmark.p % 3.73/3.93 SZS output start Proof for theBenchmark.p % 3.73/3.93 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.73/3.93 Clause #31 (by assumption #[]): Eq % 3.73/3.93 (Not % 3.73/3.93 (∀ (A B L : Iota), % 3.73/3.93 And (left_apart_point A L) (left_apart_point B (reverse_line L)) → % 3.73/3.93 And (distinct_points A B) (left_convergent_lines (line_connecting A B) L))) % 3.73/3.93 True % 3.73/3.93 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 % 3.73/3.93 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 % 3.73/3.93 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 % 3.73/3.93 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.73/3.93 Clause #194 (by clausification #[31]): Eq % 3.73/3.93 (∀ (A B L : Iota), % 3.73/3.93 And (left_apart_point A L) (left_apart_point B (reverse_line L)) → % 3.73/3.93 And (distinct_points A B) (left_convergent_lines (line_connecting A B) L)) % 3.73/3.93 False % 3.73/3.93 Clause #195 (by clausification #[194]): ∀ (a : Iota), % 3.73/3.93 Eq % 3.73/3.93 (Not % 3.73/3.93 (∀ (B L : Iota), % 3.73/3.93 And (left_apart_point (skS.0 0 a) L) (left_apart_point B (reverse_line L)) → % 3.73/3.93 And (distinct_points (skS.0 0 a) B) (left_convergent_lines (line_connecting (skS.0 0 a) B) L))) % 3.73/3.93 True % 3.73/3.93 Clause #196 (by clausification #[195]): ∀ (a : Iota), % 3.73/3.93 Eq % 3.73/3.93 (∀ (B L : Iota), % 3.73/3.93 And (left_apart_point (skS.0 0 a) L) (left_apart_point B (reverse_line L)) → % 3.73/3.93 And (distinct_points (skS.0 0 a) B) (left_convergent_lines (line_connecting (skS.0 0 a) B) L)) % 3.73/3.93 False % 3.73/3.93 Clause #197 (by clausification #[196]): ∀ (a a_1 : Iota), % 3.73/3.93 Eq % 3.73/3.93 (Not % 3.73/3.93 (∀ (L : Iota), % 3.73/3.93 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 1 a a_1) (reverse_line L)) → % 3.73/3.93 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 3.73/3.93 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) L))) % 3.73/3.93 True % 3.73/3.93 Clause #198 (by clausification #[197]): ∀ (a a_1 : Iota), % 3.73/3.93 Eq % 3.73/3.93 (∀ (L : Iota), % 3.73/3.93 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 1 a a_1) (reverse_line L)) → % 3.73/3.93 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 3.73/3.93 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) L)) % 3.73/3.93 False % 3.73/3.93 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 : Iota), % 3.73/3.93 Eq % 3.73/3.93 (Not % 3.73/3.93 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.73/3.93 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) → % 3.73/3.93 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 3.73/3.93 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)))) % 3.73/3.93 True % 3.73/3.93 Clause #200 (by clausification #[199]): ∀ (a a_1 a_2 : Iota), % 3.73/3.93 Eq % 3.73/3.93 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.73/3.93 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) → % 3.73/3.93 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) % 3.73/3.93 (left_convergent_lines (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) % 3.73/3.93 False % 3.73/3.93 Clause #201 (by clausification #[200]): ∀ (a a_1 a_2 : Iota), % 3.73/3.93 Eq % 3.73/3.93 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.73/3.93 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2)))) % 3.73/3.93 True % 3.73/3.93 Clause #203 (by clausification #[201]): ∀ (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 % 3.73/3.93 Clause #205 (by superposition #[203, 83]): Eq True False % 3.73/3.93 Clause #206 (by clausification #[205]): False % 3.73/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------