%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM395+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 07:56:25 PM UTC 2025 % Result : Theorem 3.76s 3.93s % Output : Proof 3.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM395+1 : TPTP v9.2.0. Released v3.2.0. % 0.12/0.14 % Command : duper %s % 0.14/0.35 % Computer : n013.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 07:51:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.76/3.93 SZS status Theorem for theBenchmark.p % 3.76/3.93 SZS output start Proof for theBenchmark.p % 3.76/3.93 Clause #10 (by assumption #[]): Eq (∀ (A : Iota), And (epsilon_transitive A) (epsilon_connected A) → ordinal A) True % 3.76/3.93 Clause #26 (by assumption #[]): Eq (Not (ordinal empty_set)) True % 3.76/3.93 Clause #28 (by assumption #[]): Eq (And (epsilon_transitive empty_set) (epsilon_connected empty_set)) True % 3.76/3.93 Clause #29 (by clausification #[26]): Eq (ordinal empty_set) False % 3.76/3.93 Clause #30 (by clausification #[10]): ∀ (a : Iota), Eq (And (epsilon_transitive a) (epsilon_connected a) → ordinal a) True % 3.76/3.93 Clause #31 (by clausification #[30]): ∀ (a : Iota), Or (Eq (And (epsilon_transitive a) (epsilon_connected a)) False) (Eq (ordinal a) True) % 3.76/3.93 Clause #32 (by clausification #[31]): ∀ (a : Iota), Or (Eq (ordinal a) True) (Or (Eq (epsilon_transitive a) False) (Eq (epsilon_connected a) False)) % 3.76/3.93 Clause #47 (by clausification #[28]): Eq (epsilon_connected empty_set) True % 3.76/3.93 Clause #48 (by clausification #[28]): Eq (epsilon_transitive empty_set) True % 3.76/3.93 Clause #54 (by superposition #[48, 32]): Or (Eq (ordinal empty_set) True) (Or (Eq True False) (Eq (epsilon_connected empty_set) False)) % 3.76/3.93 Clause #70 (by clausification #[54]): Or (Eq (ordinal empty_set) True) (Eq (epsilon_connected empty_set) False) % 3.76/3.93 Clause #71 (by forward demodulation #[70, 29]): Or (Eq False True) (Eq (epsilon_connected empty_set) False) % 3.76/3.93 Clause #72 (by clausification #[71]): Eq (epsilon_connected empty_set) False % 3.76/3.93 Clause #73 (by superposition #[72, 47]): Eq False True % 3.76/3.93 Clause #74 (by clausification #[73]): False % 3.76/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------