%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS094+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 07:52:37 PM UTC 2025 % Result : Unsatisfiable 4.12s 4.30s % Output : Proof 4.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.15 % Problem : KRS094+1 : TPTP v9.2.0. Released v3.1.0. % 0.12/0.16 % Command : duper %s % 0.14/0.39 % Computer : n022.cluster.edu % 0.14/0.39 % Model : x86_64 x86_64 % 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.39 % Memory : 8042.1875MB % 0.14/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.39 % CPULimit : 300 % 0.14/0.39 % WCLimit : 300 % 0.14/0.39 % DateTime : Thu Oct 2 10:19:23 EDT 2025 % 0.14/0.39 % CPUTime : % 4.12/4.30 SZS status Theorem for theBenchmark.p % 4.12/4.30 SZS output start Proof for theBenchmark.p % 4.12/4.30 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (cc1 X)) True % 4.12/4.30 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cc1 X → Not (cd1 X)) True % 4.12/4.30 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), cc1 X → cd1 X) True % 4.12/4.30 Clause #8 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_11330) True % 4.12/4.30 Clause #13 (by clausification #[5]): ∀ (a : Iota), Eq (cc1 a → cd1 a) True % 4.12/4.30 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cc1 a) False) (Eq (cd1 a) True) % 4.12/4.30 Clause #15 (by clausification #[4]): ∀ (a : Iota), Eq (cc1 a → Not (cd1 a)) True % 4.12/4.30 Clause #16 (by clausification #[15]): ∀ (a : Iota), Or (Eq (cc1 a) False) (Eq (Not (cd1 a)) True) % 4.12/4.30 Clause #17 (by clausification #[16]): ∀ (a : Iota), Or (Eq (cc1 a) False) (Eq (cd1 a) False) % 4.12/4.30 Clause #25 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (cc1 a)) True % 4.12/4.30 Clause #27 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc1 a) True) % 4.12/4.30 Clause #28 (by superposition #[27, 8]): Or (Eq (cc1 i2003_11_14_17_20_11330) True) (Eq False True) % 4.12/4.30 Clause #29 (by clausification #[28]): Eq (cc1 i2003_11_14_17_20_11330) True % 4.12/4.30 Clause #30 (by superposition #[29, 14]): Or (Eq True False) (Eq (cd1 i2003_11_14_17_20_11330) True) % 4.12/4.30 Clause #31 (by superposition #[29, 17]): Or (Eq True False) (Eq (cd1 i2003_11_14_17_20_11330) False) % 4.12/4.30 Clause #37 (by clausification #[30]): Eq (cd1 i2003_11_14_17_20_11330) True % 4.12/4.30 Clause #38 (by clausification #[31]): Eq (cd1 i2003_11_14_17_20_11330) False % 4.12/4.30 Clause #39 (by superposition #[38, 37]): Eq False True % 4.12/4.30 Clause #40 (by clausification #[39]): False % 4.12/4.30 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------