%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV397^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:03:08 PM UTC 2025 % Result : Theorem 3.67s 3.91s % Output : Proof 3.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEV397^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n022.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 : Fri Oct 3 01:41:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.67/3.91 SZS status Theorem for theBenchmark.p % 3.67/3.91 SZS output start Proof for theBenchmark.p % 3.67/3.91 Clause #0 (by assumption #[]): Eq (Not (∀ (Xx : a), Iff (Or (And (cX Xx) (cY Xx)) (cZ Xx)) (And (Or (cX Xx) (cZ Xx)) (Or (cY Xx) (cZ Xx))))) True % 3.67/3.91 Clause #1 (by clausification #[0]): Eq (∀ (Xx : a), Iff (Or (And (cX Xx) (cY Xx)) (cZ Xx)) (And (Or (cX Xx) (cZ Xx)) (Or (cY Xx) (cZ Xx)))) False % 3.67/3.91 Clause #2 (by clausification #[1]): ∀ (a_1 : a), % 3.67/3.91 Eq % 3.67/3.91 (Not % 3.67/3.91 (Iff (Or (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) (cZ (skS.0 0 a_1))) % 3.67/3.91 (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1)))))) % 3.67/3.91 True % 3.67/3.91 Clause #3 (by clausification #[2]): ∀ (a_1 : a), % 3.67/3.91 Eq % 3.67/3.91 (Iff (Or (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) (cZ (skS.0 0 a_1))) % 3.67/3.91 (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))))) % 3.67/3.91 False % 3.67/3.91 Clause #4 (by clausification #[3]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (Or (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) (cZ (skS.0 0 a_1))) False) % 3.67/3.91 (Eq (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1)))) False) % 3.67/3.91 Clause #5 (by clausification #[3]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (Or (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) (cZ (skS.0 0 a_1))) True) % 3.67/3.91 (Eq (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1)))) True) % 3.67/3.91 Clause #6 (by clausification #[4]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1)))) False) % 3.67/3.91 (Eq (cZ (skS.0 0 a_1)) False) % 3.67/3.91 Clause #7 (by clausification #[4]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1)))) False) % 3.67/3.91 (Eq (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) False) % 3.67/3.91 Clause #8 (by clausification #[6]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (cZ (skS.0 0 a_1)) False) % 3.67/3.91 (Or (Eq (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False) (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False)) % 3.67/3.91 Clause #9 (by clausification #[8]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (cZ (skS.0 0 a_1)) False) % 3.67/3.91 (Or (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False) (Eq (cZ (skS.0 0 a_1)) False)) % 3.67/3.91 Clause #11 (by clausification #[9]): ∀ (a_1 : a), Or (Eq (cZ (skS.0 0 a_1)) False) (Or (Eq (cZ (skS.0 0 a_1)) False) (Eq (cZ (skS.0 0 a_1)) False)) % 3.67/3.91 Clause #13 (by eliminate duplicate literals #[11]): ∀ (a_1 : a), Eq (cZ (skS.0 0 a_1)) False % 3.67/3.91 Clause #21 (by clausification #[7]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) False) % 3.67/3.91 (Or (Eq (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False) (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False)) % 3.67/3.91 Clause #22 (by clausification #[21]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False) % 3.67/3.91 (Or (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False) % 3.67/3.91 (Or (Eq (cX (skS.0 0 a_1)) False) (Eq (cY (skS.0 0 a_1)) False))) % 3.67/3.91 Clause #24 (by clausification #[22]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) False) % 3.67/3.91 (Or (Eq (cX (skS.0 0 a_1)) False) (Or (Eq (cY (skS.0 0 a_1)) False) (Eq (cX (skS.0 0 a_1)) False))) % 3.67/3.91 Clause #29 (by clausification #[5]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (And (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1)))) True) % 3.67/3.91 (Or (Eq (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) True) (Eq (cZ (skS.0 0 a_1)) True)) % 3.67/3.91 Clause #30 (by clausification #[29]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) True) % 3.67/3.91 (Or (Eq (cZ (skS.0 0 a_1)) True) (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) True)) % 3.67/3.91 Clause #31 (by clausification #[29]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (And (cX (skS.0 0 a_1)) (cY (skS.0 0 a_1))) True) % 3.67/3.91 (Or (Eq (cZ (skS.0 0 a_1)) True) (Eq (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) True)) % 3.67/3.91 Clause #32 (by clausification #[30]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (cZ (skS.0 0 a_1)) True) (Or (Eq (Or (cY (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) True) (Eq (cY (skS.0 0 a_1)) True)) % 3.67/3.91 Clause #34 (by clausification #[32]): ∀ (a_1 : a), % 3.67/3.91 Or (Eq (cZ (skS.0 0 a_1)) True) % 3.67/3.91 (Or (Eq (cY (skS.0 0 a_1)) True) (Or (Eq (cY (skS.0 0 a_1)) True) (Eq (cZ (skS.0 0 a_1)) True))) % 3.67/3.92 Clause #35 (by eliminate duplicate literals #[34]): ∀ (a_1 : a), Or (Eq (cZ (skS.0 0 a_1)) True) (Eq (cY (skS.0 0 a_1)) True) % 3.67/3.92 Clause #36 (by forward demodulation #[35, 13]): ∀ (a_1 : a), Or (Eq False True) (Eq (cY (skS.0 0 a_1)) True) % 3.67/3.92 Clause #37 (by clausification #[36]): ∀ (a_1 : a), Eq (cY (skS.0 0 a_1)) True % 3.67/3.92 Clause #43 (by clausification #[24]): ∀ (a_1 : a), % 3.67/3.92 Or (Eq (cX (skS.0 0 a_1)) False) % 3.67/3.92 (Or (Eq (cY (skS.0 0 a_1)) False) (Or (Eq (cX (skS.0 0 a_1)) False) (Eq (cY (skS.0 0 a_1)) False))) % 3.67/3.92 Clause #44 (by eliminate duplicate literals #[43]): ∀ (a_1 : a), Or (Eq (cX (skS.0 0 a_1)) False) (Eq (cY (skS.0 0 a_1)) False) % 3.67/3.92 Clause #46 (by clausification #[31]): ∀ (a_1 : a), % 3.67/3.92 Or (Eq (cZ (skS.0 0 a_1)) True) (Or (Eq (Or (cX (skS.0 0 a_1)) (cZ (skS.0 0 a_1))) True) (Eq (cX (skS.0 0 a_1)) True)) % 3.67/3.92 Clause #51 (by clausification #[46]): ∀ (a_1 : a), % 3.67/3.92 Or (Eq (cZ (skS.0 0 a_1)) True) % 3.67/3.92 (Or (Eq (cX (skS.0 0 a_1)) True) (Or (Eq (cX (skS.0 0 a_1)) True) (Eq (cZ (skS.0 0 a_1)) True))) % 3.67/3.92 Clause #52 (by eliminate duplicate literals #[51]): ∀ (a_1 : a), Or (Eq (cZ (skS.0 0 a_1)) True) (Eq (cX (skS.0 0 a_1)) True) % 3.67/3.92 Clause #53 (by forward demodulation #[52, 13]): ∀ (a_1 : a), Or (Eq False True) (Eq (cX (skS.0 0 a_1)) True) % 3.67/3.92 Clause #54 (by clausification #[53]): ∀ (a_1 : a), Eq (cX (skS.0 0 a_1)) True % 3.67/3.92 Clause #55 (by backward demodulation #[54, 44]): ∀ (a_1 : a), Or (Eq True False) (Eq (cY (skS.0 0 a_1)) False) % 3.67/3.92 Clause #56 (by clausification #[55]): ∀ (a_1 : a), Eq (cY (skS.0 0 a_1)) False % 3.67/3.92 Clause #57 (by superposition #[56, 37]): Eq False True % 3.67/3.92 Clause #58 (by clausification #[57]): False % 3.67/3.92 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------