%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ131_1 : TPTP v9.2.0. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:58:24 PM UTC 2025 % Result : Theorem 3.54s 3.72s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : PUZ131_1 : TPTP v9.2.0. Released v5.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 20:49:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.54/3.72 SZS status Theorem for theBenchmark.p % 3.54/3.72 SZS output start Proof for theBenchmark.p % 3.54/3.72 Clause #4 (by assumption #[]): Eq (∀ (X : course), teaches (coordinatorof X) X) True % 3.54/3.72 Clause #5 (by assumption #[]): Eq (∀ (X : student) (Y : course), enrolled X Y → ∀ (Z : professor), teaches Z Y → taughtby X Z) True % 3.54/3.72 Clause #6 (by assumption #[]): Eq (enrolled michael csc410) True % 3.54/3.72 Clause #7 (by assumption #[]): Eq (Eq (coordinatorof csc410) victor) True % 3.54/3.72 Clause #8 (by assumption #[]): Eq (Not (taughtby michael victor)) True % 3.54/3.72 Clause #9 (by clausification #[8]): Eq (taughtby michael victor) False % 3.54/3.72 Clause #10 (by clausification #[7]): Eq (coordinatorof csc410) victor % 3.54/3.72 Clause #11 (by clausification #[4]): ∀ (a : course), Eq (teaches (coordinatorof a) a) True % 3.54/3.72 Clause #12 (by superposition #[11, 10]): Eq (teaches victor csc410) True % 3.54/3.72 Clause #23 (by clausification #[5]): ∀ (a : student), Eq (∀ (Y : course), enrolled a Y → ∀ (Z : professor), teaches Z Y → taughtby a Z) True % 3.54/3.72 Clause #24 (by clausification #[23]): ∀ (a : student) (a_1 : course), Eq (enrolled a a_1 → ∀ (Z : professor), teaches Z a_1 → taughtby a Z) True % 3.54/3.72 Clause #25 (by clausification #[24]): ∀ (a : student) (a_1 : course), % 3.54/3.72 Or (Eq (enrolled a a_1) False) (Eq (∀ (Z : professor), teaches Z a_1 → taughtby a Z) True) % 3.54/3.72 Clause #26 (by clausification #[25]): ∀ (a : student) (a_1 : course) (a_2 : professor), % 3.54/3.72 Or (Eq (enrolled a a_1) False) (Eq (teaches a_2 a_1 → taughtby a a_2) True) % 3.54/3.72 Clause #27 (by clausification #[26]): ∀ (a : student) (a_1 : course) (a_2 : professor), % 3.54/3.72 Or (Eq (enrolled a a_1) False) (Or (Eq (teaches a_2 a_1) False) (Eq (taughtby a a_2) True)) % 3.54/3.72 Clause #28 (by superposition #[27, 6]): ∀ (a : professor), Or (Eq (teaches a csc410) False) (Or (Eq (taughtby michael a) True) (Eq False True)) % 3.54/3.72 Clause #31 (by clausification #[28]): ∀ (a : professor), Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True) % 3.54/3.72 Clause #32 (by superposition #[31, 12]): Or (Eq (taughtby michael victor) True) (Eq False True) % 3.54/3.72 Clause #38 (by clausification #[32]): Eq (taughtby michael victor) True % 3.54/3.72 Clause #39 (by superposition #[38, 9]): Eq True False % 3.54/3.72 Clause #40 (by clausification #[39]): False % 3.54/3.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------