%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO227+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 47.69s 47.85s % Output : Proof 47.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO227+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.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 12:00:23 EDT 2025 % 0.13/0.34 % CPUTime : % 47.69/47.85 SZS status Theorem for theBenchmark.p % 47.69/47.85 SZS output start Proof for theBenchmark.p % 47.69/47.85 Clause #12 (by assumption #[]): Eq % 47.69/47.85 (∀ (L M : Iota), % 47.69/47.85 And (line L) (line M) → Or (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M))) % 47.69/47.85 True % 47.69/47.85 Clause #31 (by assumption #[]): Eq % 47.69/47.85 (Not % 47.69/47.85 (∀ (L M : Iota), % 47.69/47.85 And (line L) (line M) → % 47.69/47.85 Not (And (Not (unequally_directed_lines L M)) (Not (unequally_directed_lines L (reverse_line M)))))) % 47.69/47.85 True % 47.69/47.85 Clause #104 (by clausification #[12]): ∀ (a : Iota), % 47.69/47.85 Eq % 47.69/47.85 (∀ (M : Iota), % 47.69/47.85 And (line a) (line M) → Or (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M))) % 47.69/47.85 True % 47.69/47.85 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), % 47.69/47.85 Eq (And (line a) (line a_1) → Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) % 47.69/47.85 True % 47.69/47.85 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota), % 47.69/47.85 Or (Eq (And (line a) (line a_1)) False) % 47.69/47.85 (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True) % 47.69/47.85 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota), % 47.69/47.85 Or (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True) % 47.69/47.85 (Or (Eq (line a) False) (Eq (line a_1) False)) % 47.69/47.85 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), % 47.69/47.85 Or (Eq (line a) False) % 47.69/47.85 (Or (Eq (line a_1) False) % 47.69/47.85 (Or (Eq (unequally_directed_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) True))) % 47.69/47.85 Clause #195 (by clausification #[31]): Eq % 47.69/47.85 (∀ (L M : Iota), % 47.69/47.85 And (line L) (line M) → % 47.69/47.85 Not (And (Not (unequally_directed_lines L M)) (Not (unequally_directed_lines L (reverse_line M))))) % 47.69/47.85 False % 47.69/47.85 Clause #196 (by clausification #[195]): ∀ (a : Iota), % 47.69/47.85 Eq % 47.69/47.85 (Not % 47.69/47.85 (∀ (M : Iota), % 47.69/47.85 And (line (skS.0 0 a)) (line M) → % 47.69/47.85 Not % 47.69/47.85 (And (Not (unequally_directed_lines (skS.0 0 a) M)) % 47.69/47.85 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line M)))))) % 47.69/47.85 True % 47.69/47.85 Clause #197 (by clausification #[196]): ∀ (a : Iota), % 47.69/47.85 Eq % 47.69/47.85 (∀ (M : Iota), % 47.69/47.85 And (line (skS.0 0 a)) (line M) → % 47.69/47.85 Not % 47.69/47.85 (And (Not (unequally_directed_lines (skS.0 0 a) M)) % 47.69/47.85 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line M))))) % 47.69/47.85 False % 47.69/47.85 Clause #198 (by clausification #[197]): ∀ (a a_1 : Iota), % 47.69/47.85 Eq % 47.69/47.85 (Not % 47.69/47.85 (And (line (skS.0 0 a)) (line (skS.0 1 a a_1)) → % 47.69/47.85 Not % 47.69/47.85 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1))) % 47.69/47.85 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))))))) % 47.69/47.85 True % 47.69/47.85 Clause #199 (by clausification #[198]): ∀ (a a_1 : Iota), % 47.69/47.85 Eq % 47.69/47.85 (And (line (skS.0 0 a)) (line (skS.0 1 a a_1)) → % 47.69/47.85 Not % 47.69/47.85 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1))) % 47.69/47.85 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))))) % 47.69/47.85 False % 47.69/47.85 Clause #200 (by clausification #[199]): ∀ (a a_1 : Iota), Eq (And (line (skS.0 0 a)) (line (skS.0 1 a a_1))) True % 47.69/47.85 Clause #201 (by clausification #[199]): ∀ (a a_1 : Iota), % 47.69/47.85 Eq % 47.69/47.85 (Not % 47.69/47.85 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1))) % 47.69/47.85 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))))) % 47.69/47.85 False % 47.69/47.85 Clause #202 (by clausification #[200]): ∀ (a a_1 : Iota), Eq (line (skS.0 1 a a_1)) True % 47.69/47.85 Clause #203 (by clausification #[200]): ∀ (a : Iota), Eq (line (skS.0 0 a)) True % 47.69/47.85 Clause #207 (by superposition #[203, 108]): ∀ (a a_1 : Iota), % 47.69/47.85 Or (Eq True False) % 47.69/47.85 (Or (Eq (line a) False) % 47.69/47.85 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True) % 47.69/47.85 (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True))) % 47.69/47.85 Clause #332 (by clausification #[201]): ∀ (a a_1 : Iota), % 47.69/47.85 Eq % 47.69/47.85 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1))) % 47.69/47.85 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))))) % 47.69/47.85 True % 47.69/47.85 Clause #333 (by clausification #[332]): ∀ (a a_1 : Iota), Eq (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))) True % 47.69/47.85 Clause #334 (by clausification #[332]): ∀ (a a_1 : Iota), Eq (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1))) True % 47.71/47.91 Clause #335 (by clausification #[333]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) False % 47.71/47.91 Clause #336 (by clausification #[334]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) False % 47.71/47.91 Clause #377 (by clausification #[207]): ∀ (a a_1 : Iota), % 47.71/47.91 Or (Eq (line a) False) % 47.71/47.91 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True) % 47.71/47.91 (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True)) % 47.71/47.91 Clause #378 (by superposition #[377, 202]): ∀ (a a_1 a_2 : Iota), % 47.71/47.91 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a_1 a_2)) True) % 47.71/47.91 (Or (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a_1 a_2))) True) (Eq False True)) % 47.71/47.91 Clause #4187 (by clausification #[378]): ∀ (a a_1 a_2 : Iota), % 47.71/47.91 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a_1 a_2)) True) % 47.71/47.91 (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a_1 a_2))) True) % 47.71/47.91 Clause #4188 (by superposition #[4187, 335]): ∀ (a a_1 : Iota), Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False) % 47.71/47.91 Clause #4197 (by clausification #[4188]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) True % 47.71/47.91 Clause #4198 (by superposition #[4197, 336]): Eq True False % 47.71/47.91 Clause #4206 (by clausification #[4198]): False % 47.71/47.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------