%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV411^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:03:09 PM UTC 2025 % Result : Theorem 4.61s 4.81s % Output : Proof 4.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SEV411^5 : TPTP v9.2.0. Released v4.0.0. % 0.00/0.10 % Command : duper %s % 0.10/0.32 % Computer : n024.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Fri Oct 3 00:59:38 EDT 2025 % 0.10/0.32 % CPUTime : % 4.61/4.81 SZS status Theorem for theBenchmark.p % 4.61/4.81 SZS output start Proof for theBenchmark.p % 4.61/4.81 Clause #0 (by assumption #[]): Eq (Not (Or (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) → ∀ (Xx : Iota), cA Xx → cB Xx)) True % 4.61/4.81 Clause #1 (by clausification #[0]): Eq (Or (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) → ∀ (Xx : Iota), cA Xx → cB Xx) False % 4.61/4.81 Clause #2 (by clausification #[1]): Eq (Or (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx)) True % 4.61/4.81 Clause #3 (by clausification #[1]): Eq (∀ (Xx : Iota), cA Xx → cB Xx) False % 4.61/4.81 Clause #4 (by clausification #[2]): Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) True) (Eq (∀ (Xx : Iota), cA Xx → cB Xx) True) % 4.61/4.81 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) True) (Eq (cA a → cB a) True) % 4.61/4.81 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cA a → cB a) True) (Eq (cA a_1 → cB a_1) True) % 4.61/4.81 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (cA a → cB a) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True)) % 4.61/4.81 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cA a) False) (Or (Eq (cB a) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True))) % 4.61/4.81 Clause #9 (by clausification #[3]): ∀ (a : Iota), Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True % 4.61/4.81 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (cA (skS.0 0 a) → cB (skS.0 0 a)) False % 4.61/4.81 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (cA (skS.0 0 a)) True % 4.61/4.81 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) False % 4.61/4.81 Clause #13 (by superposition #[11, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True))) % 4.61/4.81 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True)) % 4.61/4.81 Clause #15 (by superposition #[14, 11]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq False True)) % 4.61/4.81 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq (cB (skS.0 0 a_1)) True) % 4.61/4.81 Clause #17 (by superposition #[16, 12]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq True False) % 4.61/4.81 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) True % 4.61/4.81 Clause #20 (by superposition #[19, 12]): Eq True False % 4.61/4.81 Clause #21 (by clausification #[20]): False % 4.61/4.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------