%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET062+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:59:31 PM UTC 2025 % Result : Theorem 3.81s 4.02s % Output : Proof 3.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET062+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 0.12/0.14 % Command : duper %s % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 13:37:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.81/4.02 SZS status Theorem for theBenchmark.p % 3.81/4.02 SZS output start Proof for theBenchmark.p % 3.81/4.02 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (subclass X Y) (∀ (U : Iota), member U X → member U Y)) True % 3.81/4.02 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Not (member X null_class)) True % 3.81/4.02 Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), subclass null_class X)) True % 3.81/4.02 Clause #45 (by clausification #[43]): Eq (∀ (X : Iota), subclass null_class X) False % 3.81/4.02 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Not (subclass null_class (skS.0 0 a))) True % 3.81/4.02 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (subclass null_class (skS.0 0 a)) False % 3.81/4.02 Clause #48 (by clausification #[15]): ∀ (a : Iota), Eq (Not (member a null_class)) True % 3.81/4.02 Clause #49 (by clausification #[48]): ∀ (a : Iota), Eq (member a null_class) False % 3.81/4.02 Clause #50 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (subclass a Y) (∀ (U : Iota), member U a → member U Y)) True % 3.81/4.02 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (Iff (subclass a a_1) (∀ (U : Iota), member U a → member U a_1)) True % 3.81/4.02 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (subclass a a_1) True) (Eq (∀ (U : Iota), member U a → member U a_1) False) % 3.81/4.02 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), % 3.81/4.02 Or (Eq (subclass a a_1) True) (Eq (Not (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1)) True) % 3.81/4.02 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), % 3.81/4.02 Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1) False) % 3.81/4.02 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a) True) % 3.81/4.02 Clause #58 (by superposition #[56, 49]): ∀ (a : Iota), Or (Eq (subclass null_class a) True) (Eq True False) % 3.81/4.02 Clause #59 (by clausification #[58]): ∀ (a : Iota), Eq (subclass null_class a) True % 3.81/4.02 Clause #60 (by superposition #[59, 47]): Eq True False % 3.81/4.02 Clause #61 (by clausification #[60]): False % 3.81/4.02 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------