%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO520^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 08:09:14 PM UTC 2025 % Result : Unsatisfiable 4.18s 4.39s % Output : Proof 4.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO520^1 : TPTP v9.2.0. Released v4.1.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n015.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 13:53:53 EDT 2025 % 0.14/0.35 % CPUTime : % 4.18/4.39 SZS status Theorem for theBenchmark.p % 4.18/4.39 SZS output start Proof for theBenchmark.p % 4.18/4.39 Clause #0 (by assumption #[]): Eq (∀ (P : Iota → Prop), (Exists fun X => P X) → P (eps P)) True % 4.18/4.39 Clause #1 (by assumption #[]): Eq (p (eps fun X => Not (p X))) True % 4.18/4.39 Clause #2 (by assumption #[]): Eq (Not (p (eps p))) True % 4.18/4.39 Clause #3 (by clausification #[2]): Eq (p (eps p)) False % 4.18/4.39 Clause #4 (by betaEtaReduce #[0]): Eq (∀ (P : Iota → Prop), Exists P → P (eps P)) True % 4.18/4.39 Clause #5 (by clausification #[4]): ∀ (a : Iota → Prop), Eq (Exists a → a (eps a)) True % 4.18/4.39 Clause #6 (by clausification #[5]): ∀ (a : Iota → Prop), Or (Eq (Exists a) False) (Eq (a (eps a)) True) % 4.18/4.39 Clause #7 (by clausification #[6]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (a (eps a)) True) (Eq (a a_1) False) % 4.18/4.39 Clause #15 (by superposition #[1, 7]): Or (Eq ((fun x => p x) (eps fun x => p x)) True) (Eq False True) % 4.18/4.39 Clause #43 (by betaEtaReduce #[15]): Or (Eq (p (eps p)) True) (Eq False True) % 4.18/4.39 Clause #44 (by clausification #[43]): Eq (p (eps p)) True % 4.18/4.39 Clause #45 (by superposition #[44, 3]): Eq True False % 4.18/4.39 Clause #50 (by clausification #[45]): False % 4.18/4.39 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------