%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 11:36:03 AM UTC 2026 % Result : Theorem 8.80s 9.05s % Output : Proof 8.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.05 % Command : duper %s % 0.09/0.35 % Computer : n026.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 22:29:55 UTC 2026 % 0.09/0.36 % CPUTime : % 8.80/9.05 SZS status Theorem for theBenchmark.p % 8.80/9.05 SZS output start Proof for theBenchmark.p % 8.80/9.05 Clause #6 (by assumption #[]): Eq (Iff and_1 (∀ (X Y : Iota), is_a_theorem (implies (and X Y) X))) True % 8.80/9.05 Clause #16 (by assumption #[]): Eq (Iff kn2 (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P))) True % 8.80/9.05 Clause #36 (by assumption #[]): Eq kn2 True % 8.80/9.05 Clause #39 (by assumption #[]): Eq (Not and_1) True % 8.80/9.05 Clause #51 (by clausification #[39]): Eq and_1 False % 8.80/9.05 Clause #102 (by clausification #[6]): Or (Eq and_1 True) (Eq (∀ (X Y : Iota), is_a_theorem (implies (and X Y) X)) False) % 8.80/9.05 Clause #104 (by clausification #[102]): ∀ (a : Iota), % 8.80/9.05 Or (Eq and_1 True) (Eq (Not (∀ (Y : Iota), is_a_theorem (implies (and (skS.0 10 a) Y) (skS.0 10 a)))) True) % 8.80/9.05 Clause #105 (by clausification #[104]): ∀ (a : Iota), Or (Eq and_1 True) (Eq (∀ (Y : Iota), is_a_theorem (implies (and (skS.0 10 a) Y) (skS.0 10 a))) False) % 8.80/9.05 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota), % 8.80/9.05 Or (Eq and_1 True) (Eq (Not (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a)))) True) % 8.80/9.05 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota), % 8.80/9.05 Or (Eq and_1 True) (Eq (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a))) False) % 8.80/9.05 Clause #108 (by forward demodulation #[107, 51]): ∀ (a a_1 : Iota), % 8.80/9.05 Or (Eq False True) (Eq (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a))) False) % 8.80/9.05 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a))) False % 8.80/9.05 Clause #144 (by clausification #[16]): Or (Eq kn2 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P)) True) % 8.80/9.05 Clause #150 (by clausification #[144]): ∀ (a : Iota), Or (Eq kn2 False) (Eq (∀ (Q : Iota), is_a_theorem (implies (and a Q) a)) True) % 8.80/9.05 Clause #151 (by clausification #[150]): ∀ (a a_1 : Iota), Or (Eq kn2 False) (Eq (is_a_theorem (implies (and a a_1) a)) True) % 8.80/9.05 Clause #152 (by forward demodulation #[151, 36]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies (and a a_1) a)) True) % 8.80/9.05 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and a a_1) a)) True % 8.80/9.05 Clause #154 (by superposition #[153, 109]): Eq True False % 8.80/9.05 Clause #156 (by clausification #[154]): False % 8.80/9.05 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------