%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN355^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:07:28 PM UTC 2025 % Result : Theorem 3.43s 3.59s % Output : Proof 3.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN355^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.15/0.35 % Computer : n010.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Oct 2 15:19:23 EDT 2025 % 0.15/0.35 % CPUTime : % 3.43/3.59 SZS status Theorem for theBenchmark.p % 3.43/3.59 SZS output start Proof for theBenchmark.p % 3.43/3.59 Clause #0 (by assumption #[]): Eq (Not (And (∀ (Xx : Iota), cR Xx → cP Xx) (∀ (Xx : Iota), Not (cQ Xx) → cR Xx) → ∀ (Xx : Iota), Or (cP Xx) (cQ Xx))) % 3.43/3.59 True % 3.43/3.59 Clause #1 (by clausification #[0]): Eq (And (∀ (Xx : Iota), cR Xx → cP Xx) (∀ (Xx : Iota), Not (cQ Xx) → cR Xx) → ∀ (Xx : Iota), Or (cP Xx) (cQ Xx)) False % 3.43/3.59 Clause #2 (by clausification #[1]): Eq (And (∀ (Xx : Iota), cR Xx → cP Xx) (∀ (Xx : Iota), Not (cQ Xx) → cR Xx)) True % 3.43/3.59 Clause #3 (by clausification #[1]): Eq (∀ (Xx : Iota), Or (cP Xx) (cQ Xx)) False % 3.43/3.59 Clause #4 (by clausification #[2]): Eq (∀ (Xx : Iota), Not (cQ Xx) → cR Xx) True % 3.43/3.59 Clause #5 (by clausification #[2]): Eq (∀ (Xx : Iota), cR Xx → cP Xx) True % 3.43/3.59 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Not (cQ a) → cR a) True % 3.43/3.59 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (Not (cQ a)) False) (Eq (cR a) True) % 3.43/3.59 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cR a) True) (Eq (cQ a) True) % 3.43/3.59 Clause #9 (by clausification #[5]): ∀ (a : Iota), Eq (cR a → cP a) True % 3.43/3.59 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (cR a) False) (Eq (cP a) True) % 3.43/3.59 Clause #11 (by superposition #[10, 8]): ∀ (a : Iota), Or (Eq (cP a) True) (Or (Eq False True) (Eq (cQ a) True)) % 3.43/3.59 Clause #12 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Or (cP (skS.0 0 a)) (cQ (skS.0 0 a)))) True % 3.43/3.59 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Or (cP (skS.0 0 a)) (cQ (skS.0 0 a))) False % 3.43/3.59 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (cQ (skS.0 0 a)) False % 3.43/3.59 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cP (skS.0 0 a)) False % 3.43/3.59 Clause #16 (by clausification #[11]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq (cQ a) True) % 3.43/3.59 Clause #17 (by superposition #[16, 15]): ∀ (a : Iota), Or (Eq (cQ (skS.0 0 a)) True) (Eq True False) % 3.43/3.59 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (cQ (skS.0 0 a)) True % 3.43/3.59 Clause #19 (by superposition #[18, 14]): Eq True False % 3.43/3.59 Clause #20 (by clausification #[19]): False % 3.43/3.59 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------