%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL491+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:01 AM UTC 2026 % Result : Theorem 8.89s 9.13s % Output : Proof 8.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL491+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.05 % Command : duper %s % 0.11/0.38 % Computer : n017.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Fri Sep 4 14:05:05 UTC 2026 % 0.11/0.39 % CPUTime : % 8.89/9.13 SZS status Theorem for theBenchmark.p % 8.89/9.13 SZS output start Proof for theBenchmark.p % 8.89/9.13 Clause #10 (by assumption #[]): Eq (Iff or_2 (∀ (X Y : Iota), is_a_theorem (implies Y (or X Y)))) True % 8.89/9.13 Clause #22 (by assumption #[]): Eq (Iff r2 (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q)))) True % 8.89/9.13 Clause #36 (by assumption #[]): Eq r2 True % 8.89/9.13 Clause #43 (by assumption #[]): Eq (Not or_2) True % 8.89/9.13 Clause #64 (by clausification #[43]): Eq or_2 False % 8.89/9.13 Clause #104 (by clausification #[10]): Or (Eq or_2 True) (Eq (∀ (X Y : Iota), is_a_theorem (implies Y (or X Y))) False) % 8.89/9.13 Clause #106 (by clausification #[104]): ∀ (a : Iota), Or (Eq or_2 True) (Eq (Not (∀ (Y : Iota), is_a_theorem (implies Y (or (skS.0 10 a) Y)))) True) % 8.89/9.13 Clause #107 (by clausification #[106]): ∀ (a : Iota), Or (Eq or_2 True) (Eq (∀ (Y : Iota), is_a_theorem (implies Y (or (skS.0 10 a) Y))) False) % 8.89/9.13 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), % 8.89/9.13 Or (Eq or_2 True) (Eq (Not (is_a_theorem (implies (skS.0 11 a a_1) (or (skS.0 10 a) (skS.0 11 a a_1))))) True) % 8.89/9.13 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), % 8.89/9.13 Or (Eq or_2 True) (Eq (is_a_theorem (implies (skS.0 11 a a_1) (or (skS.0 10 a) (skS.0 11 a a_1)))) False) % 8.89/9.13 Clause #110 (by forward demodulation #[109, 64]): ∀ (a a_1 : Iota), % 8.89/9.13 Or (Eq False True) (Eq (is_a_theorem (implies (skS.0 11 a a_1) (or (skS.0 10 a) (skS.0 11 a a_1)))) False) % 8.89/9.13 Clause #111 (by clausification #[110]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 11 a a_1) (or (skS.0 10 a) (skS.0 11 a a_1)))) False % 8.89/9.13 Clause #124 (by clausification #[22]): Or (Eq r2 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q))) True) % 8.89/9.13 Clause #136 (by clausification #[124]): ∀ (a : Iota), Or (Eq r2 False) (Eq (∀ (Q : Iota), is_a_theorem (implies Q (or a Q))) True) % 8.89/9.13 Clause #137 (by clausification #[136]): ∀ (a a_1 : Iota), Or (Eq r2 False) (Eq (is_a_theorem (implies a (or a_1 a))) True) % 8.89/9.13 Clause #138 (by forward demodulation #[137, 36]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies a (or a_1 a))) True) % 8.89/9.13 Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (or a_1 a))) True % 8.89/9.13 Clause #140 (by superposition #[139, 111]): Eq True False % 8.89/9.13 Clause #142 (by clausification #[140]): False % 8.89/9.13 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------