%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 9.46s 9.72s % Output : Proof 9.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.05 % Command : duper %s % 0.12/0.37 % Computer : n006.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 5 09:43:31 UTC 2026 % 0.12/0.38 % CPUTime : % 9.46/9.72 SZS status Theorem for theBenchmark.p % 9.46/9.72 SZS output start Proof for theBenchmark.p % 9.46/9.72 Clause #3 (by assumption #[]): Eq (Iff implies_1 (∀ (X Y : Iota), is_a_theorem (implies X (implies Y X)))) True % 9.46/9.72 Clause #22 (by assumption #[]): Eq (Iff r2 (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q)))) True % 9.46/9.72 Clause #29 (by assumption #[]): Eq (op_implies_or → ∀ (X Y : Iota), Eq (implies X Y) (or (not X) Y)) True % 9.46/9.72 Clause #31 (by assumption #[]): Eq op_implies_or True % 9.46/9.72 Clause #36 (by assumption #[]): Eq r2 True % 9.46/9.72 Clause #43 (by assumption #[]): Eq (Not implies_1) True % 9.46/9.72 Clause #64 (by clausification #[43]): Eq implies_1 False % 9.46/9.72 Clause #98 (by clausification #[3]): Or (Eq implies_1 True) (Eq (∀ (X Y : Iota), is_a_theorem (implies X (implies Y X))) False) % 9.46/9.72 Clause #100 (by clausification #[98]): ∀ (a : Iota), % 9.46/9.72 Or (Eq implies_1 True) (Eq (Not (∀ (Y : Iota), is_a_theorem (implies (skS.0 8 a) (implies Y (skS.0 8 a))))) True) % 9.46/9.72 Clause #101 (by clausification #[100]): ∀ (a : Iota), % 9.46/9.72 Or (Eq implies_1 True) (Eq (∀ (Y : Iota), is_a_theorem (implies (skS.0 8 a) (implies Y (skS.0 8 a)))) False) % 9.46/9.72 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota), % 9.46/9.72 Or (Eq implies_1 True) (Eq (Not (is_a_theorem (implies (skS.0 8 a) (implies (skS.0 9 a a_1) (skS.0 8 a))))) True) % 9.46/9.72 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), % 9.46/9.72 Or (Eq implies_1 True) (Eq (is_a_theorem (implies (skS.0 8 a) (implies (skS.0 9 a a_1) (skS.0 8 a)))) False) % 9.46/9.72 Clause #104 (by forward demodulation #[103, 64]): ∀ (a a_1 : Iota), % 9.46/9.72 Or (Eq False True) (Eq (is_a_theorem (implies (skS.0 8 a) (implies (skS.0 9 a a_1) (skS.0 8 a)))) False) % 9.46/9.72 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 8 a) (implies (skS.0 9 a a_1) (skS.0 8 a)))) False % 9.46/9.72 Clause #123 (by clausification #[22]): Or (Eq r2 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q))) True) % 9.46/9.72 Clause #135 (by clausification #[123]): ∀ (a : Iota), Or (Eq r2 False) (Eq (∀ (Q : Iota), is_a_theorem (implies Q (or a Q))) True) % 9.46/9.72 Clause #136 (by clausification #[135]): ∀ (a a_1 : Iota), Or (Eq r2 False) (Eq (is_a_theorem (implies a (or a_1 a))) True) % 9.46/9.72 Clause #137 (by forward demodulation #[136, 36]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies a (or a_1 a))) True) % 9.46/9.72 Clause #138 (by clausification #[137]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (or a_1 a))) True % 9.46/9.72 Clause #224 (by clausification #[29]): Or (Eq op_implies_or False) (Eq (∀ (X Y : Iota), Eq (implies X Y) (or (not X) Y)) True) % 9.46/9.72 Clause #225 (by clausification #[224]): ∀ (a : Iota), Or (Eq op_implies_or False) (Eq (∀ (Y : Iota), Eq (implies a Y) (or (not a) Y)) True) % 9.46/9.72 Clause #226 (by clausification #[225]): ∀ (a a_1 : Iota), Or (Eq op_implies_or False) (Eq (Eq (implies a a_1) (or (not a) a_1)) True) % 9.46/9.72 Clause #227 (by clausification #[226]): ∀ (a a_1 : Iota), Or (Eq op_implies_or False) (Eq (implies a a_1) (or (not a) a_1)) % 9.46/9.72 Clause #228 (by forward demodulation #[227, 31]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (implies a a_1) (or (not a) a_1)) % 9.46/9.72 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota), Eq (implies a a_1) (or (not a) a_1) % 9.46/9.72 Clause #231 (by superposition #[229, 138]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (implies a_1 a))) True % 9.46/9.72 Clause #238 (by superposition #[231, 105]): Eq True False % 9.46/9.72 Clause #240 (by clausification #[238]): False % 9.46/9.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------