%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO188^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 4.55s 4.77s % Output : Proof 4.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYO188^5 : TPTP v9.2.0. Released v4.0.0. % 0.00/0.09 % Command : duper %s % 0.09/0.30 % Computer : n009.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 300 % 0.09/0.30 % DateTime : Fri Oct 3 13:29:53 EDT 2025 % 0.09/0.30 % CPUTime : % 4.55/4.77 SZS status Theorem for theBenchmark.p % 4.55/4.77 SZS output start Proof for theBenchmark.p % 4.55/4.77 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xq => ∀ (Xp : Prop → Prop), Xq Xp)) True % 4.55/4.77 Clause #1 (by clausification #[0]): Eq (Exists fun Xq => ∀ (Xp : Prop → Prop), Xq Xp) False % 4.55/4.77 Clause #2 (by clausification #[1]): ∀ (a : (Prop → Prop) → Prop), Eq (∀ (Xp : Prop → Prop), a Xp) False % 4.55/4.77 Clause #3 (by clausification #[2]): ∀ (a : (Prop → Prop) → Prop) (a_1 : Prop → Prop), Eq (Not (a (skS.0 0 a a_1))) True % 4.55/4.77 Clause #4 (by clausification #[3]): ∀ (a : (Prop → Prop) → Prop) (a_1 : Prop → Prop), Eq (a (skS.0 0 a a_1)) False % 4.55/4.77 Clause #8 (by fluidSup #[4, 4]): ∀ (a : Prop), Eq ((fun _ => a) False) False % 4.55/4.77 Clause #13 (by betaEtaReduce #[8]): ∀ (a : Prop), Eq a False % 4.55/4.77 Clause #14 (by falseElim #[13]): False % 4.55/4.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------