%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS091+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 07:52:36 PM UTC 2025 % Result : Unsatisfiable 3.46s 3.69s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS091+1 : TPTP v9.2.0. Released v3.1.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.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 10:21:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.46/3.69 SZS status Theorem for theBenchmark.p % 3.46/3.69 SZS output start Proof for theBenchmark.p % 3.46/3.69 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (And (cd X) (cc X))) True % 3.46/3.69 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → Not (cd X)) True % 3.46/3.69 Clause #8 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_00819) True % 3.46/3.69 Clause #22 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → Not (cd a)) True % 3.46/3.69 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Not (cd a)) True) % 3.46/3.69 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False) % 3.46/3.69 Clause #30 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (And (cd a) (cc a))) True % 3.46/3.69 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (cd a) (cc a)) True) % 3.46/3.69 Clause #34 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc a) True) % 3.46/3.69 Clause #35 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd a) True) % 3.46/3.69 Clause #36 (by superposition #[34, 8]): Or (Eq (cc i2003_11_14_17_20_00819) True) (Eq False True) % 3.46/3.69 Clause #37 (by clausification #[36]): Eq (cc i2003_11_14_17_20_00819) True % 3.46/3.69 Clause #38 (by superposition #[37, 24]): Or (Eq True False) (Eq (cd i2003_11_14_17_20_00819) False) % 3.46/3.69 Clause #39 (by clausification #[38]): Eq (cd i2003_11_14_17_20_00819) False % 3.46/3.69 Clause #40 (by superposition #[35, 8]): Or (Eq (cd i2003_11_14_17_20_00819) True) (Eq False True) % 3.46/3.69 Clause #41 (by clausification #[40]): Eq (cd i2003_11_14_17_20_00819) True % 3.46/3.69 Clause #42 (by superposition #[41, 39]): Eq True False % 3.46/3.69 Clause #43 (by clausification #[42]): False % 3.46/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------