%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL460+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 11:35:59 AM UTC 2026 % Result : Theorem 8.67s 8.95s % Output : Proof 8.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL460+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.05 % Command : duper %s % 0.13/0.38 % Computer : n010.cluster.edu % 0.13/0.38 % Model : x86_64 x86_64 % 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.38 % Memory : 8046.5625MB % 0.13/0.38 % OS : Linux 6.8.0-71-generic % 0.13/0.38 % CPULimit : 300 % 0.13/0.38 % WCLimit : 300 % 0.13/0.38 % DateTime : Sat Sep 5 10:28:09 UTC 2026 % 0.13/0.38 % CPUTime : % 8.67/8.95 SZS status Theorem for theBenchmark.p % 8.67/8.95 SZS output start Proof for theBenchmark.p % 8.67/8.95 Clause #6 (by assumption #[]): Eq (Iff and_1 (∀ (X Y : Iota), is_a_theorem (implies (and X Y) X))) True % 8.67/8.95 Clause #16 (by assumption #[]): Eq (Iff kn2 (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P))) True % 8.67/8.95 Clause #39 (by assumption #[]): Eq and_1 True % 8.67/8.95 Clause #49 (by assumption #[]): Eq (Not kn2) True % 8.67/8.95 Clause #77 (by clausification #[49]): Eq kn2 False % 8.67/8.95 Clause #128 (by clausification #[6]): Or (Eq and_1 False) (Eq (∀ (X Y : Iota), is_a_theorem (implies (and X Y) X)) True) % 8.67/8.95 Clause #134 (by clausification #[128]): ∀ (a : Iota), Or (Eq and_1 False) (Eq (∀ (Y : Iota), is_a_theorem (implies (and a Y) a)) True) % 8.67/8.95 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota), Or (Eq and_1 False) (Eq (is_a_theorem (implies (and a a_1) a)) True) % 8.67/8.95 Clause #136 (by forward demodulation #[135, 39]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies (and a a_1) a)) True) % 8.67/8.95 Clause #137 (by clausification #[136]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and a a_1) a)) True % 8.67/8.95 Clause #148 (by clausification #[16]): Or (Eq kn2 True) (Eq (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P)) False) % 8.67/8.95 Clause #150 (by clausification #[148]): ∀ (a : Iota), Or (Eq kn2 True) (Eq (Not (∀ (Q : Iota), is_a_theorem (implies (and (skS.0 19 a) Q) (skS.0 19 a)))) True) % 8.67/8.95 Clause #151 (by clausification #[150]): ∀ (a : Iota), Or (Eq kn2 True) (Eq (∀ (Q : Iota), is_a_theorem (implies (and (skS.0 19 a) Q) (skS.0 19 a))) False) % 8.67/8.95 Clause #152 (by clausification #[151]): ∀ (a a_1 : Iota), % 8.67/8.95 Or (Eq kn2 True) (Eq (Not (is_a_theorem (implies (and (skS.0 19 a) (skS.0 20 a a_1)) (skS.0 19 a)))) True) % 8.67/8.95 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Or (Eq kn2 True) (Eq (is_a_theorem (implies (and (skS.0 19 a) (skS.0 20 a a_1)) (skS.0 19 a))) False) % 8.67/8.95 Clause #154 (by forward demodulation #[153, 77]): ∀ (a a_1 : Iota), % 8.67/8.95 Or (Eq False True) (Eq (is_a_theorem (implies (and (skS.0 19 a) (skS.0 20 a a_1)) (skS.0 19 a))) False) % 8.67/8.95 Clause #155 (by clausification #[154]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and (skS.0 19 a) (skS.0 20 a a_1)) (skS.0 19 a))) False % 8.67/8.95 Clause #156 (by superposition #[155, 137]): Eq False True % 8.67/8.95 Clause #157 (by clausification #[156]): False % 8.67/8.95 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------