%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS093+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 3.58s 3.76s % Output : Proof 3.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.12 % Problem : KRS093+1 : TPTP v9.2.0. Released v3.1.0. % 0.02/0.13 % Command : duper %s % 0.13/0.34 % Computer : n021.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 10:24:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.58/3.76 SZS status Theorem for theBenchmark.p % 3.58/3.76 SZS output start Proof for theBenchmark.p % 3.58/3.76 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (And (cf X) (ce3 X))) True % 3.58/3.76 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → Not (cd X)) True % 3.58/3.76 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), ce3 X → cc X) True % 3.58/3.76 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), cf X → cd X) True % 3.58/3.76 Clause #8 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_07201) True % 3.58/3.76 Clause #9 (by clausification #[7]): ∀ (a : Iota), Eq (cf a → cd a) True % 3.58/3.76 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (cf a) False) (Eq (cd a) True) % 3.58/3.76 Clause #11 (by clausification #[6]): ∀ (a : Iota), Eq (ce3 a → cc a) True % 3.58/3.76 Clause #12 (by clausification #[11]): ∀ (a : Iota), Or (Eq (ce3 a) False) (Eq (cc a) True) % 3.58/3.76 Clause #22 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → Not (cd a)) True % 3.58/3.76 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Not (cd a)) True) % 3.58/3.76 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False) % 3.58/3.76 Clause #32 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (And (cf a) (ce3 a))) True % 3.58/3.76 Clause #34 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (cf a) (ce3 a)) True) % 3.58/3.76 Clause #36 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (ce3 a) True) % 3.58/3.76 Clause #37 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cf a) True) % 3.58/3.76 Clause #38 (by superposition #[36, 8]): Or (Eq (ce3 i2003_11_14_17_20_07201) True) (Eq False True) % 3.58/3.76 Clause #39 (by clausification #[38]): Eq (ce3 i2003_11_14_17_20_07201) True % 3.58/3.76 Clause #40 (by superposition #[39, 12]): Or (Eq True False) (Eq (cc i2003_11_14_17_20_07201) True) % 3.58/3.76 Clause #41 (by clausification #[40]): Eq (cc i2003_11_14_17_20_07201) True % 3.58/3.76 Clause #42 (by superposition #[41, 24]): Or (Eq True False) (Eq (cd i2003_11_14_17_20_07201) False) % 3.58/3.76 Clause #43 (by clausification #[42]): Eq (cd i2003_11_14_17_20_07201) False % 3.58/3.76 Clause #44 (by superposition #[37, 8]): Or (Eq (cf i2003_11_14_17_20_07201) True) (Eq False True) % 3.58/3.76 Clause #45 (by clausification #[44]): Eq (cf i2003_11_14_17_20_07201) True % 3.58/3.76 Clause #46 (by superposition #[45, 10]): Or (Eq True False) (Eq (cd i2003_11_14_17_20_07201) True) % 3.58/3.76 Clause #48 (by clausification #[46]): Eq (cd i2003_11_14_17_20_07201) True % 3.58/3.76 Clause #49 (by superposition #[48, 43]): Eq True False % 3.58/3.76 Clause #50 (by clausification #[49]): False % 3.58/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------