%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 11:35:58 AM UTC 2026 % Result : Theorem 8.78s 9.10s % Output : Proof 8.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.05 % Command : duper %s % 0.11/0.38 % Computer : n016.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 : Sat Sep 5 06:34:29 UTC 2026 % 0.11/0.38 % CPUTime : % 8.78/9.10 SZS status Theorem for theBenchmark.p % 8.78/9.10 SZS output start Proof for theBenchmark.p % 8.78/9.10 Clause #10 (by assumption #[]): Eq (Iff or_2 (∀ (X Y : Iota), is_a_theorem (implies Y (or X Y)))) True % 8.78/9.10 Clause #22 (by assumption #[]): Eq (Iff r2 (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q)))) True % 8.78/9.10 Clause #43 (by assumption #[]): Eq or_2 True % 8.78/9.10 Clause #51 (by assumption #[]): Eq (Not r2) True % 8.78/9.10 Clause #86 (by clausification #[51]): Eq r2 False % 8.78/9.10 Clause #123 (by clausification #[10]): Or (Eq or_2 False) (Eq (∀ (X Y : Iota), is_a_theorem (implies Y (or X Y))) True) % 8.78/9.10 Clause #138 (by clausification #[123]): ∀ (a : Iota), Or (Eq or_2 False) (Eq (∀ (Y : Iota), is_a_theorem (implies Y (or a Y))) True) % 8.78/9.10 Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota), Or (Eq or_2 False) (Eq (is_a_theorem (implies a (or a_1 a))) True) % 8.78/9.10 Clause #140 (by forward demodulation #[139, 43]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies a (or a_1 a))) True) % 8.78/9.10 Clause #141 (by clausification #[140]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (or a_1 a))) True % 8.78/9.10 Clause #178 (by clausification #[22]): Or (Eq r2 True) (Eq (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q))) False) % 8.78/9.10 Clause #180 (by clausification #[178]): ∀ (a : Iota), Or (Eq r2 True) (Eq (Not (∀ (Q : Iota), is_a_theorem (implies Q (or (skS.0 23 a) Q)))) True) % 8.78/9.10 Clause #181 (by clausification #[180]): ∀ (a : Iota), Or (Eq r2 True) (Eq (∀ (Q : Iota), is_a_theorem (implies Q (or (skS.0 23 a) Q))) False) % 8.78/9.10 Clause #182 (by clausification #[181]): ∀ (a a_1 : Iota), % 8.78/9.10 Or (Eq r2 True) (Eq (Not (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1))))) True) % 8.78/9.10 Clause #183 (by clausification #[182]): ∀ (a a_1 : Iota), % 8.78/9.10 Or (Eq r2 True) (Eq (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1)))) False) % 8.78/9.10 Clause #184 (by forward demodulation #[183, 86]): ∀ (a a_1 : Iota), % 8.78/9.10 Or (Eq False True) (Eq (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1)))) False) % 8.78/9.10 Clause #185 (by clausification #[184]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1)))) False % 8.78/9.10 Clause #186 (by superposition #[185, 141]): Eq False True % 8.78/9.10 Clause #187 (by clausification #[186]): False % 8.78/9.10 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------