%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO264+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 07:48:24 PM UTC 2025 % Result : Theorem 3.72s 3.93s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO264+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.10/0.12 % Command : duper %s % 0.12/0.32 % Computer : n005.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Oct 3 12:49:23 EDT 2025 % 0.12/0.32 % CPUTime : % 3.72/3.93 SZS status Theorem for theBenchmark.p % 3.72/3.93 SZS output start Proof for theBenchmark.p % 3.72/3.93 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.72/3.93 Clause #31 (by assumption #[]): Eq % 3.72/3.93 (Not % 3.72/3.93 (∀ (A B C D : Iota), % 3.72/3.93 left_apart_point C (line_connecting A B) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting B C))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting C A))) → % 3.72/3.93 left_apart_point D (line_connecting A B))) % 3.72/3.93 True % 3.72/3.93 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 % 3.72/3.93 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 % 3.72/3.93 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 % 3.72/3.93 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.72/3.93 Clause #175 (by clausification #[31]): Eq % 3.72/3.93 (∀ (A B C D : Iota), % 3.72/3.93 left_apart_point C (line_connecting A B) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting B C))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting C A))) → % 3.72/3.93 left_apart_point D (line_connecting A B)) % 3.72/3.93 False % 3.72/3.93 Clause #176 (by clausification #[175]): ∀ (a : Iota), % 3.72/3.93 Eq % 3.72/3.93 (Not % 3.72/3.93 (∀ (B C D : Iota), % 3.72/3.93 left_apart_point C (line_connecting (skS.0 0 a) B) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting B C))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting C (skS.0 0 a)))) → % 3.72/3.93 left_apart_point D (line_connecting (skS.0 0 a) B))) % 3.72/3.93 True % 3.72/3.93 Clause #177 (by clausification #[176]): ∀ (a : Iota), % 3.72/3.93 Eq % 3.72/3.93 (∀ (B C D : Iota), % 3.72/3.93 left_apart_point C (line_connecting (skS.0 0 a) B) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting B C))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting C (skS.0 0 a)))) → % 3.72/3.93 left_apart_point D (line_connecting (skS.0 0 a) B)) % 3.72/3.93 False % 3.72/3.93 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota), % 3.72/3.93 Eq % 3.72/3.93 (Not % 3.72/3.93 (∀ (C D : Iota), % 3.72/3.93 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting (skS.0 1 a a_1) C))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting C (skS.0 0 a)))) → % 3.72/3.93 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 3.72/3.93 True % 3.72/3.93 Clause #179 (by clausification #[178]): ∀ (a a_1 : Iota), % 3.72/3.93 Eq % 3.72/3.93 (∀ (C D : Iota), % 3.72/3.93 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting (skS.0 1 a a_1) C))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting C (skS.0 0 a)))) → % 3.72/3.93 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) % 3.72/3.93 False % 3.72/3.93 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota), % 3.72/3.93 Eq % 3.72/3.93 (Not % 3.72/3.93 (∀ (D : Iota), % 3.72/3.93 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a)))) → % 3.72/3.93 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 3.72/3.93 True % 3.72/3.93 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 : Iota), % 3.72/3.93 Eq % 3.72/3.93 (∀ (D : Iota), % 3.72/3.93 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) → % 3.72/3.93 And (left_apart_point D (reverse_line (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 3.72/3.93 (left_apart_point D (reverse_line (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a)))) → % 3.72/3.93 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) % 3.72/3.93 False % 3.72/3.93 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 a_3 : Iota), % 3.72/3.93 Eq % 3.72/3.93 (Not % 3.72/3.93 (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) → % 3.72/3.93 And % 3.72/3.93 (left_apart_point (skS.0 3 a a_1 a_2 a_3) % 3.72/3.93 (reverse_line (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 3.72/3.93 (left_apart_point (skS.0 3 a a_1 a_2 a_3) % 3.72/3.93 (reverse_line (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a)))) → % 3.72/3.93 left_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 3.72/3.93 True % 3.72/3.93 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota), % 3.72/3.93 Eq % 3.72/3.93 (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) → % 3.72/3.93 And % 3.72/3.93 (left_apart_point (skS.0 3 a a_1 a_2 a_3) % 3.72/3.93 (reverse_line (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 3.72/3.93 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a)))) → % 3.72/3.93 left_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) % 3.72/3.93 False % 3.72/3.93 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True % 3.72/3.93 Clause #186 (by superposition #[184, 83]): Eq True False % 3.72/3.93 Clause #187 (by clausification #[186]): False % 3.72/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------