%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS068+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 07:52:34 PM UTC 2025 % Result : Unsatisfiable 4.24s 4.54s % Output : Proof 4.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.18 % Problem : KRS068+1 : TPTP v9.2.0. Released v3.1.0. % 0.12/0.19 % Command : duper %s % 0.14/0.44 % Computer : n005.cluster.edu % 0.14/0.44 % Model : x86_64 x86_64 % 0.14/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.44 % Memory : 8042.1875MB % 0.14/0.44 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.44 % CPULimit : 300 % 0.14/0.44 % WCLimit : 300 % 0.14/0.44 % DateTime : Thu Oct 2 10:23:08 EDT 2025 % 0.14/0.45 % CPUTime : % 4.24/4.54 SZS status Theorem for theBenchmark.p % 4.24/4.54 SZS output start Proof for theBenchmark.p % 4.24/4.54 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → cc X) True % 4.24/4.54 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → Not (cd X)) True % 4.24/4.54 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cc X → ∀ (Y : Iota), rr X Y → cc Y) True % 4.24/4.54 Clause #5 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_23845) True % 4.24/4.54 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), (∀ (Y : Iota), rr X Y → cc Y) → cd X) True % 4.24/4.54 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq ((∀ (Y : Iota), rr a Y → cc Y) → cd a) True % 4.24/4.54 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (∀ (Y : Iota), rr a Y → cc Y) False) (Eq (cd a) True) % 4.24/4.54 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (Not (rr a (skS.0 0 a a_1) → cc (skS.0 0 a a_1))) True) % 4.24/4.54 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (rr a (skS.0 0 a a_1) → cc (skS.0 0 a a_1)) False) % 4.24/4.54 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (rr a (skS.0 0 a a_1)) True) % 4.24/4.54 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (cc (skS.0 0 a a_1)) False) % 4.24/4.54 Clause #13 (by clausification #[2]): ∀ (a : Iota), Eq (cUnsatisfiable a → cc a) True % 4.24/4.54 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc a) True) % 4.24/4.54 Clause #15 (by superposition #[14, 5]): Or (Eq (cc i2003_11_14_17_18_23845) True) (Eq False True) % 4.24/4.54 Clause #16 (by clausification #[15]): Eq (cc i2003_11_14_17_18_23845) True % 4.24/4.54 Clause #17 (by clausification #[3]): ∀ (a : Iota), Eq (cUnsatisfiable a → Not (cd a)) True % 4.24/4.54 Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Not (cd a)) True) % 4.24/4.54 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd a) False) % 4.24/4.54 Clause #20 (by superposition #[19, 5]): Or (Eq (cd i2003_11_14_17_18_23845) False) (Eq False True) % 4.24/4.54 Clause #25 (by clausification #[20]): Eq (cd i2003_11_14_17_18_23845) False % 4.24/4.54 Clause #26 (by clausification #[4]): ∀ (a : Iota), Eq (cc a → ∀ (Y : Iota), rr a Y → cc Y) True % 4.24/4.54 Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (∀ (Y : Iota), rr a Y → cc Y) True) % 4.24/4.54 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Eq (rr a a_1 → cc a_1) True) % 4.24/4.54 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Or (Eq (rr a a_1) False) (Eq (cc a_1) True)) % 4.24/4.54 Clause #30 (by superposition #[29, 16]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_23845 a) False) (Or (Eq (cc a) True) (Eq False True)) % 4.24/4.54 Clause #38 (by clausification #[30]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_23845 a) False) (Eq (cc a) True) % 4.24/4.54 Clause #39 (by superposition #[38, 11]): ∀ (a : Iota), % 4.24/4.54 Or (Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True) (Or (Eq (cd i2003_11_14_17_18_23845) True) (Eq False True)) % 4.24/4.54 Clause #40 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True) (Eq (cd i2003_11_14_17_18_23845) True) % 4.24/4.54 Clause #41 (by forward demodulation #[40, 25]): ∀ (a : Iota), Or (Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True) (Eq False True) % 4.24/4.54 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True % 4.24/4.54 Clause #43 (by superposition #[42, 12]): Or (Eq (cd i2003_11_14_17_18_23845) True) (Eq True False) % 4.24/4.54 Clause #45 (by clausification #[43]): Eq (cd i2003_11_14_17_18_23845) True % 4.24/4.54 Clause #46 (by superposition #[45, 25]): Eq True False % 4.24/4.54 Clause #47 (by clausification #[46]): False % 4.24/4.54 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------