%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ131+1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 4.22s 4.39s % Output : Proof 4.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : PUZ131+1 : TPTP v9.2.0. Released v4.1.0. % 0.04/0.13 % Command : duper %s % 0.14/0.34 % Computer : n003.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 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 20:48:08 EDT 2025 % 0.14/0.35 % CPUTime : % 4.22/4.39 SZS status Theorem for theBenchmark.p % 4.22/4.39 SZS output start Proof for theBenchmark.p % 4.22/4.39 Clause #3 (by assumption #[]): Eq (student michael) True % 4.22/4.39 Clause #4 (by assumption #[]): Eq (professor victor) True % 4.22/4.39 Clause #5 (by assumption #[]): Eq (course csc410) True % 4.22/4.39 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), course X → teaches (coordinatorof X) X) True % 4.22/4.39 Clause #12 (by assumption #[]): Eq (∀ (X Y : Iota), And (student X) (course Y) → enrolled X Y → ∀ (Z : Iota), professor Z → teaches Z Y → taughtby X Z) % 4.22/4.39 True % 4.22/4.39 Clause #13 (by assumption #[]): Eq (enrolled michael csc410) True % 4.22/4.39 Clause #14 (by assumption #[]): Eq (Eq (coordinatorof csc410) victor) True % 4.22/4.39 Clause #15 (by assumption #[]): Eq (Not (taughtby michael victor)) True % 4.22/4.39 Clause #16 (by clausification #[15]): Eq (taughtby michael victor) False % 4.22/4.39 Clause #19 (by clausification #[14]): Eq (coordinatorof csc410) victor % 4.22/4.39 Clause #36 (by clausification #[11]): ∀ (a : Iota), Eq (course a → teaches (coordinatorof a) a) True % 4.22/4.39 Clause #37 (by clausification #[36]): ∀ (a : Iota), Or (Eq (course a) False) (Eq (teaches (coordinatorof a) a) True) % 4.22/4.39 Clause #38 (by superposition #[37, 5]): Or (Eq (teaches (coordinatorof csc410) csc410) True) (Eq False True) % 4.22/4.39 Clause #40 (by clausification #[38]): Eq (teaches (coordinatorof csc410) csc410) True % 4.22/4.39 Clause #41 (by forward demodulation #[40, 19]): Eq (teaches victor csc410) True % 4.22/4.39 Clause #43 (by clausification #[12]): ∀ (a : Iota), % 4.22/4.39 Eq (∀ (Y : Iota), And (student a) (course Y) → enrolled a Y → ∀ (Z : Iota), professor Z → teaches Z Y → taughtby a Z) % 4.22/4.39 True % 4.22/4.39 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 4.22/4.39 Eq (And (student a) (course a_1) → enrolled a a_1 → ∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True % 4.22/4.39 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), % 4.22/4.39 Or (Eq (And (student a) (course a_1)) False) % 4.22/4.39 (Eq (enrolled a a_1 → ∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True) % 4.22/4.39 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 4.22/4.39 Or (Eq (enrolled a a_1 → ∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True) % 4.22/4.39 (Or (Eq (student a) False) (Eq (course a_1) False)) % 4.22/4.39 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), % 4.22/4.39 Or (Eq (student a) False) % 4.22/4.39 (Or (Eq (course a_1) False) % 4.22/4.39 (Or (Eq (enrolled a a_1) False) (Eq (∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True))) % 4.22/4.39 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), % 4.22/4.39 Or (Eq (student a) False) % 4.22/4.39 (Or (Eq (course a_1) False) % 4.22/4.39 (Or (Eq (enrolled a a_1) False) (Eq (professor a_2 → teaches a_2 a_1 → taughtby a a_2) True))) % 4.22/4.39 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), % 4.22/4.39 Or (Eq (student a) False) % 4.22/4.39 (Or (Eq (course a_1) False) % 4.22/4.39 (Or (Eq (enrolled a a_1) False) (Or (Eq (professor a_2) False) (Eq (teaches a_2 a_1 → taughtby a a_2) True)))) % 4.22/4.39 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 4.22/4.39 Or (Eq (student a) False) % 4.22/4.39 (Or (Eq (course a_1) False) % 4.22/4.39 (Or (Eq (enrolled a a_1) False) % 4.22/4.39 (Or (Eq (professor a_2) False) (Or (Eq (teaches a_2 a_1) False) (Eq (taughtby a a_2) True))))) % 4.22/4.39 Clause #51 (by superposition #[50, 3]): ∀ (a a_1 : Iota), % 4.22/4.39 Or (Eq (course a) False) % 4.22/4.39 (Or (Eq (enrolled michael a) False) % 4.22/4.39 (Or (Eq (professor a_1) False) % 4.22/4.39 (Or (Eq (teaches a_1 a) False) (Or (Eq (taughtby michael a_1) True) (Eq False True))))) % 4.22/4.39 Clause #148 (by clausification #[51]): ∀ (a a_1 : Iota), % 4.22/4.39 Or (Eq (course a) False) % 4.22/4.39 (Or (Eq (enrolled michael a) False) % 4.22/4.39 (Or (Eq (professor a_1) False) (Or (Eq (teaches a_1 a) False) (Eq (taughtby michael a_1) True)))) % 4.22/4.39 Clause #149 (by superposition #[148, 5]): ∀ (a : Iota), % 4.22/4.39 Or (Eq (enrolled michael csc410) False) % 4.22/4.39 (Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Or (Eq (taughtby michael a) True) (Eq False True)))) % 4.22/4.39 Clause #156 (by clausification #[149]): ∀ (a : Iota), % 4.22/4.39 Or (Eq (enrolled michael csc410) False) % 4.22/4.39 (Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True))) % 4.22/4.39 Clause #157 (by forward demodulation #[156, 13]): ∀ (a : Iota), % 4.22/4.39 Or (Eq True False) (Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True))) % 4.22/4.39 Clause #158 (by clausification #[157]): ∀ (a : Iota), Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True)) % 4.22/4.39 Clause #159 (by superposition #[158, 4]): Or (Eq (teaches victor csc410) False) (Or (Eq (taughtby michael victor) True) (Eq False True)) % 4.22/4.39 Clause #167 (by clausification #[159]): Or (Eq (teaches victor csc410) False) (Eq (taughtby michael victor) True) % 4.22/4.39 Clause #168 (by forward demodulation #[167, 41]): Or (Eq True False) (Eq (taughtby michael victor) True) % 4.22/4.39 Clause #169 (by clausification #[168]): Eq (taughtby michael victor) True % 4.22/4.39 Clause #170 (by superposition #[169, 16]): Eq True False % 4.22/4.39 Clause #171 (by clausification #[170]): False % 4.22/4.39 SZS output end Proof for theBenchmark.p 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