%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ128+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 07:58:23 PM UTC 2025 % Result : Theorem 3.64s 3.81s % Output : Proof 3.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : PUZ128+1 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.15/0.36 % Computer : n006.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 20:44:53 EDT 2025 % 0.15/0.36 % CPUTime : % 3.64/3.81 SZS status Theorem for theBenchmark.p % 3.64/3.81 SZS output start Proof for theBenchmark.p % 3.64/3.81 Clause #0 (by assumption #[]): Eq (parent_of iokaste oedipus) True % 3.64/3.81 Clause #1 (by assumption #[]): Eq (parent_of iokaste polyneikes) True % 3.64/3.81 Clause #2 (by assumption #[]): Eq (parent_of oedipus polyneikes) True % 3.64/3.81 Clause #3 (by assumption #[]): Eq (parent_of polyneikes thersandros) True % 3.64/3.81 Clause #4 (by assumption #[]): Eq (patricide oedipus) True % 3.64/3.81 Clause #5 (by assumption #[]): Eq (Not (patricide thersandros)) True % 3.64/3.81 Clause #6 (by assumption #[]): Eq % 3.64/3.81 (Not % 3.64/3.81 (Exists fun P => % 3.64/3.81 Exists fun NP => And (And (And (parent_of iokaste P) (patricide P)) (parent_of P NP)) (Not (patricide NP)))) % 3.64/3.81 True % 3.64/3.81 Clause #7 (by clausification #[5]): Eq (patricide thersandros) False % 3.64/3.81 Clause #8 (by clausification #[6]): Eq % 3.64/3.81 (Exists fun P => % 3.64/3.81 Exists fun NP => And (And (And (parent_of iokaste P) (patricide P)) (parent_of P NP)) (Not (patricide NP))) % 3.64/3.81 False % 3.64/3.81 Clause #9 (by clausification #[8]): ∀ (a : Iota), % 3.64/3.81 Eq (Exists fun NP => And (And (And (parent_of iokaste a) (patricide a)) (parent_of a NP)) (Not (patricide NP))) False % 3.64/3.81 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (And (And (And (parent_of iokaste a) (patricide a)) (parent_of a a_1)) (Not (patricide a_1))) False % 3.64/3.81 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), % 3.64/3.81 Or (Eq (And (And (parent_of iokaste a) (patricide a)) (parent_of a a_1)) False) (Eq (Not (patricide a_1)) False) % 3.64/3.81 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), % 3.64/3.81 Or (Eq (Not (patricide a)) False) % 3.64/3.81 (Or (Eq (And (parent_of iokaste a_1) (patricide a_1)) False) (Eq (parent_of a_1 a) False)) % 3.64/3.81 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), % 3.64/3.81 Or (Eq (And (parent_of iokaste a) (patricide a)) False) (Or (Eq (parent_of a a_1) False) (Eq (patricide a_1) True)) % 3.64/3.81 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), % 3.64/3.81 Or (Eq (parent_of a a_1) False) % 3.64/3.81 (Or (Eq (patricide a_1) True) (Or (Eq (parent_of iokaste a) False) (Eq (patricide a) False))) % 3.64/3.81 Clause #15 (by superposition #[14, 3]): Or (Eq (patricide thersandros) True) % 3.64/3.81 (Or (Eq (parent_of iokaste polyneikes) False) (Or (Eq (patricide polyneikes) False) (Eq False True))) % 3.64/3.81 Clause #18 (by superposition #[14, 2]): Or (Eq (patricide polyneikes) True) % 3.64/3.81 (Or (Eq (parent_of iokaste oedipus) False) (Or (Eq (patricide oedipus) False) (Eq False True))) % 3.64/3.81 Clause #19 (by clausification #[18]): Or (Eq (patricide polyneikes) True) (Or (Eq (parent_of iokaste oedipus) False) (Eq (patricide oedipus) False)) % 3.64/3.81 Clause #20 (by forward demodulation #[19, 4]): Or (Eq (patricide polyneikes) True) (Or (Eq (parent_of iokaste oedipus) False) (Eq True False)) % 3.64/3.81 Clause #21 (by clausification #[20]): Or (Eq (patricide polyneikes) True) (Eq (parent_of iokaste oedipus) False) % 3.64/3.81 Clause #22 (by superposition #[21, 0]): Or (Eq (patricide polyneikes) True) (Eq False True) % 3.64/3.81 Clause #23 (by clausification #[22]): Eq (patricide polyneikes) True % 3.64/3.81 Clause #27 (by clausification #[15]): Or (Eq (patricide thersandros) True) (Or (Eq (parent_of iokaste polyneikes) False) (Eq (patricide polyneikes) False)) % 3.64/3.81 Clause #28 (by forward demodulation #[27, 7]): Or (Eq False True) (Or (Eq (parent_of iokaste polyneikes) False) (Eq (patricide polyneikes) False)) % 3.64/3.81 Clause #29 (by clausification #[28]): Or (Eq (parent_of iokaste polyneikes) False) (Eq (patricide polyneikes) False) % 3.64/3.81 Clause #30 (by forward demodulation #[29, 23]): Or (Eq (parent_of iokaste polyneikes) False) (Eq True False) % 3.64/3.81 Clause #31 (by clausification #[30]): Eq (parent_of iokaste polyneikes) False % 3.64/3.81 Clause #32 (by superposition #[31, 1]): Eq False True % 3.64/3.81 Clause #33 (by clausification #[32]): False % 3.64/3.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------