%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN923+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:08:15 PM UTC 2025 % Result : Theorem 3.41s 3.57s % Output : Proof 3.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN923+1 : TPTP v9.2.0. Released v3.1.0. % 0.03/0.13 % Command : duper %s % 0.13/0.35 % Computer : n010.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 15:11:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.41/3.57 SZS status Theorem for theBenchmark.p % 3.41/3.57 SZS output start Proof for theBenchmark.p % 3.41/3.57 Clause #0 (by assumption #[]): Eq (Not (Or (∀ (X : Iota), p X) (∀ (X : Iota), q X) → ∀ (X : Iota), Or (p X) (q X))) True % 3.41/3.57 Clause #1 (by clausification #[0]): Eq (Or (∀ (X : Iota), p X) (∀ (X : Iota), q X) → ∀ (X : Iota), Or (p X) (q X)) False % 3.41/3.57 Clause #2 (by clausification #[1]): Eq (Or (∀ (X : Iota), p X) (∀ (X : Iota), q X)) True % 3.41/3.57 Clause #3 (by clausification #[1]): Eq (∀ (X : Iota), Or (p X) (q X)) False % 3.41/3.57 Clause #4 (by clausification #[2]): Or (Eq (∀ (X : Iota), p X) True) (Eq (∀ (X : Iota), q X) True) % 3.41/3.57 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), q X) True) (Eq (p a) True) % 3.41/3.57 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (q a_1) True) % 3.41/3.57 Clause #7 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Or (p (skS.0 0 a)) (q (skS.0 0 a)))) True % 3.41/3.57 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Or (p (skS.0 0 a)) (q (skS.0 0 a))) False % 3.41/3.57 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (q (skS.0 0 a)) False % 3.41/3.57 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (p (skS.0 0 a)) False % 3.41/3.57 Clause #11 (by superposition #[9, 6]): ∀ (a : Iota), Or (Eq (p a) True) (Eq False True) % 3.41/3.57 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (p a) True % 3.41/3.57 Clause #13 (by superposition #[10, 12]): Eq True False % 3.41/3.57 Clause #14 (by clausification #[13]): False % 3.41/3.57 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------