%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN955+1 : TPTP v9.2.0. Released v3.1.0. % 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 08:08:18 PM UTC 2025 % Result : Theorem 3.47s 3.65s % Output : Proof 3.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN955+1 : TPTP v9.2.0. Released v3.1.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n012.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 15:42:53 EDT 2025 % 0.14/0.34 % CPUTime : % 3.47/3.65 SZS status Theorem for theBenchmark.p % 3.47/3.65 SZS output start Proof for theBenchmark.p % 3.47/3.65 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), a X → b X) → (Exists fun X => a X) → Exists fun X => b X)) True % 3.47/3.65 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), a X → b X) → Exists a → Exists b)) True % 3.47/3.65 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), a X → b X) → Exists a → Exists b) False % 3.47/3.65 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), a X → b X) True % 3.47/3.65 Clause #4 (by clausification #[2]): Eq (Exists a → Exists b) False % 3.47/3.65 Clause #5 (by clausification #[3]): ∀ (a_1 : Iota), Eq (a a_1 → b a_1) True % 3.47/3.65 Clause #6 (by clausification #[5]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq (b a_1) True) % 3.47/3.65 Clause #7 (by clausification #[4]): Eq (Exists a) True % 3.47/3.65 Clause #8 (by clausification #[4]): Eq (Exists b) False % 3.47/3.65 Clause #9 (by clausification #[7]): ∀ (a_1 : Iota), Eq (a (skS.0 0 a_1)) True % 3.47/3.65 Clause #11 (by clausification #[8]): ∀ (a : Iota), Eq (b a) False % 3.47/3.65 Clause #12 (by backward demodulation #[11, 6]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq False True) % 3.47/3.65 Clause #13 (by clausification #[12]): ∀ (a_1 : Iota), Eq (a a_1) False % 3.47/3.65 Clause #14 (by superposition #[13, 9]): Eq False True % 3.47/3.65 Clause #15 (by clausification #[14]): False % 3.47/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------