%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN404+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:07:36 PM UTC 2025 % Result : Theorem 3.52s 3.74s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYN404+1 : TPTP v9.2.0. Released v2.0.0. % 0.10/0.13 % Command : duper %s % 0.13/0.33 % Computer : n012.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Oct 2 15:39:53 EDT 2025 % 0.13/0.33 % CPUTime : % 3.52/3.74 SZS status Theorem for theBenchmark.p % 3.52/3.74 SZS output start Proof for theBenchmark.p % 3.52/3.74 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), f X) → Exists fun Y => f Y)) True % 3.52/3.74 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), f X) → Exists f)) True % 3.52/3.74 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), f X) → Exists f) False % 3.52/3.74 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), f X) True % 3.52/3.74 Clause #4 (by clausification #[2]): Eq (Exists f) False % 3.52/3.74 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (f a) True % 3.52/3.74 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (f a) False % 3.52/3.74 Clause #7 (by superposition #[6, 5]): Eq False True % 3.52/3.74 Clause #8 (by clausification #[7]): False % 3.52/3.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------