%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO232+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 5.52s 5.73s % Output : Proof 5.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : GEO232+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.04/0.15 % Command : duper %s % 0.15/0.36 % Computer : n011.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 12:15:08 EDT 2025 % 0.15/0.36 % CPUTime : % 5.52/5.73 SZS status Theorem for theBenchmark.p % 5.52/5.73 SZS output start Proof for theBenchmark.p % 5.52/5.73 Clause #9 (by assumption #[]): Eq (∀ (L : Iota), Not (unequally_directed_lines L L)) True % 5.52/5.73 Clause #12 (by assumption #[]): Eq % 5.52/5.73 (∀ (L M : Iota), % 5.52/5.73 And (line L) (line M) → Or (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M))) % 5.52/5.73 True % 5.52/5.73 Clause #31 (by assumption #[]): Eq (Not (∀ (L : Iota), line L → unequally_directed_lines L (reverse_line L))) True % 5.52/5.73 Clause #34 (by clausification #[9]): ∀ (a : Iota), Eq (Not (unequally_directed_lines a a)) True % 5.52/5.73 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (unequally_directed_lines a a) False % 5.52/5.73 Clause #52 (by clausification #[31]): Eq (∀ (L : Iota), line L → unequally_directed_lines L (reverse_line L)) False % 5.52/5.73 Clause #53 (by clausification #[52]): ∀ (a : Iota), Eq (Not (line (skS.0 0 a) → unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a)))) True % 5.52/5.73 Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (line (skS.0 0 a) → unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a))) False % 5.52/5.73 Clause #55 (by clausification #[54]): ∀ (a : Iota), Eq (line (skS.0 0 a)) True % 5.52/5.73 Clause #56 (by clausification #[54]): ∀ (a : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a))) False % 5.52/5.73 Clause #156 (by clausification #[12]): ∀ (a : Iota), % 5.52/5.73 Eq % 5.52/5.73 (∀ (M : Iota), % 5.52/5.73 And (line a) (line M) → Or (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M))) % 5.52/5.73 True % 5.52/5.73 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota), % 5.52/5.73 Eq (And (line a) (line a_1) → Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) % 5.52/5.73 True % 5.52/5.73 Clause #158 (by clausification #[157]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (And (line a) (line a_1)) False) % 5.52/5.73 (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True) % 5.52/5.73 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True) % 5.52/5.73 (Or (Eq (line a) False) (Eq (line a_1) False)) % 5.52/5.73 Clause #160 (by clausification #[159]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (line a) False) % 5.52/5.73 (Or (Eq (line a_1) False) % 5.52/5.73 (Or (Eq (unequally_directed_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) True))) % 5.52/5.73 Clause #161 (by superposition #[160, 55]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (line a) False) % 5.52/5.73 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True) % 5.52/5.73 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True) (Eq False True))) % 5.52/5.73 Clause #298 (by clausification #[161]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (line a) False) % 5.52/5.73 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True) % 5.52/5.73 (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True)) % 5.52/5.73 Clause #299 (by superposition #[298, 55]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a_1)) True) % 5.52/5.73 (Or (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a_1))) True) (Eq False True)) % 5.52/5.73 Clause #429 (by clausification #[299]): ∀ (a a_1 : Iota), % 5.52/5.73 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a_1)) True) % 5.52/5.73 (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a_1))) True) % 5.52/5.73 Clause #430 (by superposition #[429, 56]): ∀ (a : Iota), Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False) % 5.52/5.73 Clause #462 (by clausification #[430]): ∀ (a : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a)) True % 5.52/5.73 Clause #463 (by superposition #[462, 35]): Eq True False % 5.52/5.73 Clause #470 (by clausification #[463]): False % 5.52/5.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------