%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO193^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 08:08:43 PM UTC 2025 % Result : Theorem 3.33s 3.50s % Output : Proof 3.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO193^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.12 % Command : duper %s % 0.13/0.32 % Computer : n002.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 300 % 0.13/0.32 % DateTime : Fri Oct 3 14:03:38 EDT 2025 % 0.13/0.32 % CPUTime : % 3.33/3.50 SZS status Theorem for theBenchmark.p % 3.33/3.50 SZS output start Proof for theBenchmark.p % 3.33/3.50 Clause #0 (by assumption #[]): Eq (Not (Not (∀ (Xq : (Prop → Prop) → Prop), Not (Exists fun Xp => Xq Xp)))) True % 3.33/3.50 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Not (∀ (Xq : (Prop → Prop) → Prop), Not (Exists Xq)))) True % 3.33/3.50 Clause #2 (by clausification #[1]): Eq (Not (∀ (Xq : (Prop → Prop) → Prop), Not (Exists Xq))) False % 3.33/3.50 Clause #3 (by clausification #[2]): Eq (∀ (Xq : (Prop → Prop) → Prop), Not (Exists Xq)) True % 3.33/3.50 Clause #4 (by clausification #[3]): ∀ (a : (Prop → Prop) → Prop), Eq (Not (Exists a)) True % 3.33/3.50 Clause #5 (by clausification #[4]): ∀ (a : (Prop → Prop) → Prop), Eq (Exists a) False % 3.33/3.50 Clause #6 (by clausification #[5]): ∀ (a : (Prop → Prop) → Prop) (a_1 : Prop → Prop), Eq (a a_1) False % 3.33/3.50 Clause #10 (by fluidSup #[6, 6]): ∀ (a : Prop), Eq ((fun _ => a) False) False % 3.33/3.50 Clause #18 (by betaEtaReduce #[10]): ∀ (a : Prop), Eq a False % 3.33/3.50 Clause #19 (by falseElim #[18]): False % 3.33/3.50 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------