%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO141^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 08:08:39 PM UTC 2025 % Result : Theorem 3.35s 3.52s % Output : Proof 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO141^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.14 % Command : duper %s % 0.14/0.34 % Computer : n001.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 : Fri Oct 3 14:17:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.35/3.52 SZS status Theorem for theBenchmark.p % 3.35/3.52 SZS output start Proof for theBenchmark.p % 3.35/3.52 Clause #0 (by assumption #[]): Eq (Not ((cP a → ∀ (Xx0 : Iota), cQ Xx0) → (∀ (Xx0 : Iota), cP Xx0) → cR x → cQ a)) True % 3.35/3.52 Clause #1 (by clausification #[0]): Eq ((cP a → ∀ (Xx0 : Iota), cQ Xx0) → (∀ (Xx0 : Iota), cP Xx0) → cR x → cQ a) False % 3.35/3.52 Clause #2 (by clausification #[1]): Eq (cP a → ∀ (Xx0 : Iota), cQ Xx0) True % 3.35/3.52 Clause #3 (by clausification #[1]): Eq ((∀ (Xx0 : Iota), cP Xx0) → cR x → cQ a) False % 3.35/3.52 Clause #4 (by clausification #[2]): Or (Eq (cP a) False) (Eq (∀ (Xx0 : Iota), cQ Xx0) True) % 3.35/3.52 Clause #5 (by clausification #[4]): ∀ (a_1 : Iota), Or (Eq (cP a) False) (Eq (cQ a_1) True) % 3.35/3.52 Clause #6 (by clausification #[3]): Eq (∀ (Xx0 : Iota), cP Xx0) True % 3.35/3.52 Clause #7 (by clausification #[3]): Eq (cR x → cQ a) False % 3.35/3.52 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (cP a) True % 3.35/3.52 Clause #9 (by backward demodulation #[8, 5]): ∀ (a : Iota), Or (Eq True False) (Eq (cQ a) True) % 3.35/3.52 Clause #11 (by clausification #[7]): Eq (cQ a) False % 3.35/3.52 Clause #12 (by clausification #[9]): ∀ (a : Iota), Eq (cQ a) True % 3.35/3.52 Clause #13 (by superposition #[12, 11]): Eq True False % 3.35/3.52 Clause #14 (by clausification #[13]): False % 3.35/3.52 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------