%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO229+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:48:18 PM UTC 2025 % Result : Theorem 5.17s 5.34s % Output : Proof 5.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : GEO229+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.11/0.12 % Command : duper %s % 0.13/0.33 % Computer : n026.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Oct 3 11:56:38 EDT 2025 % 0.13/0.34 % CPUTime : % 5.17/5.34 SZS status Theorem for theBenchmark.p % 5.17/5.34 SZS output start Proof for theBenchmark.p % 5.17/5.34 Clause #31 (by assumption #[]): Eq % 5.17/5.34 (Not % 5.17/5.34 (∀ (L M : Iota), % 5.17/5.34 Not (unequally_directed_lines L (reverse_line M)) → Not (unequally_directed_lines L (reverse_line M)))) % 5.17/5.34 True % 5.17/5.34 Clause #74 (by clausification #[31]): Eq % 5.17/5.34 (∀ (L M : Iota), % 5.17/5.34 Not (unequally_directed_lines L (reverse_line M)) → Not (unequally_directed_lines L (reverse_line M))) % 5.17/5.34 False % 5.17/5.34 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 5.17/5.34 Eq % 5.17/5.34 (Not % 5.17/5.34 (∀ (M : Iota), % 5.17/5.34 Not (unequally_directed_lines (skS.0 0 a) (reverse_line M)) → % 5.17/5.34 Not (unequally_directed_lines (skS.0 0 a) (reverse_line M)))) % 5.17/5.34 True % 5.17/5.34 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 5.17/5.34 Eq % 5.17/5.34 (∀ (M : Iota), % 5.17/5.34 Not (unequally_directed_lines (skS.0 0 a) (reverse_line M)) → % 5.17/5.34 Not (unequally_directed_lines (skS.0 0 a) (reverse_line M))) % 5.17/5.34 False % 5.17/5.34 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 5.17/5.34 Eq % 5.17/5.34 (Not % 5.17/5.34 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) → % 5.17/5.34 Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))))) % 5.17/5.34 True % 5.17/5.34 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 5.17/5.34 Eq % 5.17/5.34 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) → % 5.17/5.34 Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))) % 5.17/5.34 False % 5.17/5.34 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Eq (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))) True % 5.17/5.34 Clause #80 (by clausification #[78]): ∀ (a a_1 : Iota), Eq (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))) False % 5.17/5.34 Clause #81 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) False % 5.17/5.34 Clause #211 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True % 5.17/5.34 Clause #212 (by superposition #[211, 81]): Eq True False % 5.17/5.34 Clause #219 (by clausification #[212]): False % 5.17/5.34 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------