%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN733+1 : TPTP v9.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 08:08:04 PM UTC 2025 % Result : Theorem 3.55s 3.79s % Output : Proof 3.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN733+1 : TPTP v9.2.0. Released v2.5.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n023.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 15:37:23 EDT 2025 % 0.12/0.34 % CPUTime : % 3.55/3.79 SZS status Theorem for theBenchmark.p % 3.55/3.79 SZS output start Proof for theBenchmark.p % 3.55/3.79 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), Exists fun Y => And (p X) (Or (q Y) (q X))) → Exists fun Z => And (p Z) (q Z))) True % 3.55/3.79 Clause #1 (by clausification #[0]): Eq ((∀ (X : Iota), Exists fun Y => And (p X) (Or (q Y) (q X))) → Exists fun Z => And (p Z) (q Z)) False % 3.55/3.79 Clause #2 (by clausification #[1]): Eq (∀ (X : Iota), Exists fun Y => And (p X) (Or (q Y) (q X))) True % 3.55/3.79 Clause #3 (by clausification #[1]): Eq (Exists fun Z => And (p Z) (q Z)) False % 3.55/3.79 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (Exists fun Y => And (p a) (Or (q Y) (q a))) True % 3.55/3.79 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (And (p a) (Or (q (skS.0 0 a a_1)) (q a))) True % 3.55/3.79 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (Or (q (skS.0 0 a a_1)) (q a)) True % 3.55/3.79 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (p a) True % 3.55/3.79 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (q (skS.0 0 a a_1)) True) (Eq (q a) True) % 3.55/3.79 Clause #9 (by clausification #[3]): ∀ (a : Iota), Eq (And (p a) (q a)) False % 3.55/3.79 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (p a) False) (Eq (q a) False) % 3.55/3.79 Clause #11 (by superposition #[10, 7]): ∀ (a : Iota), Or (Eq (q a) False) (Eq False True) % 3.55/3.79 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (q a) False % 3.55/3.79 Clause #13 (by backward demodulation #[12, 8]): ∀ (a a_1 : Iota), Or (Eq (q (skS.0 0 a a_1)) True) (Eq False True) % 3.55/3.79 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (q (skS.0 0 a a_1)) True % 3.55/3.79 Clause #16 (by superposition #[15, 12]): Eq True False % 3.55/3.79 Clause #17 (by clausification #[16]): False % 3.55/3.79 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------