%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS067+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 5.11s 5.31s % Output : Proof 5.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.14 % Problem : KRS067+1 : TPTP v9.2.0. Released v3.1.0. % 0.10/0.15 % Command : duper %s % 0.13/0.36 % Computer : n026.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.37 % CPULimit : 300 % 0.13/0.37 % WCLimit : 300 % 0.13/0.37 % DateTime : Thu Oct 2 10:22:53 EDT 2025 % 0.13/0.37 % CPUTime : % 5.11/5.31 SZS status Theorem for theBenchmark.p % 5.11/5.31 SZS output start Proof for theBenchmark.p % 5.11/5.31 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (Or (Or (And (cc X) (cb X)) (And (cb X) (ca X))) (And (cc X) (ca X)))) True % 5.11/5.31 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), ca X → Not (Or (cc X) (cb X))) True % 5.11/5.31 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cb X → Not (cc X)) True % 5.11/5.31 Clause #5 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_1956) True % 5.11/5.31 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (cb a → Not (cc a)) True % 5.11/5.31 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (cb a) False) (Eq (Not (cc a)) True) % 5.11/5.31 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cb a) False) (Eq (cc a) False) % 5.11/5.31 Clause #20 (by clausification #[3]): ∀ (a : Iota), Eq (ca a → Not (Or (cc a) (cb a))) True % 5.11/5.31 Clause #21 (by clausification #[20]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (Not (Or (cc a) (cb a))) True) % 5.11/5.31 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (Or (cc a) (cb a)) False) % 5.11/5.31 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (cb a) False) % 5.11/5.31 Clause #24 (by clausification #[22]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (cc a) False) % 5.11/5.31 Clause #25 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (Or (Or (And (cc a) (cb a)) (And (cb a) (ca a))) (And (cc a) (ca a)))) True % 5.11/5.31 Clause #27 (by clausification #[25]): ∀ (a : Iota), % 5.11/5.31 Or (Eq (cUnsatisfiable a) False) (Eq (Or (Or (And (cc a) (cb a)) (And (cb a) (ca a))) (And (cc a) (ca a))) True) % 5.11/5.31 Clause #34 (by clausification #[27]): ∀ (a : Iota), % 5.11/5.31 Or (Eq (cUnsatisfiable a) False) % 5.11/5.31 (Or (Eq (Or (And (cc a) (cb a)) (And (cb a) (ca a))) True) (Eq (And (cc a) (ca a)) True)) % 5.11/5.31 Clause #35 (by clausification #[34]): ∀ (a : Iota), % 5.11/5.31 Or (Eq (cUnsatisfiable a) False) % 5.11/5.31 (Or (Eq (And (cc a) (ca a)) True) (Or (Eq (And (cc a) (cb a)) True) (Eq (And (cb a) (ca a)) True))) % 5.11/5.31 Clause #36 (by clausification #[35]): ∀ (a : Iota), % 5.11/5.31 Or (Eq (cUnsatisfiable a) False) % 5.11/5.31 (Or (Eq (And (cc a) (cb a)) True) (Or (Eq (And (cb a) (ca a)) True) (Eq (ca a) True))) % 5.11/5.31 Clause #37 (by clausification #[35]): ∀ (a : Iota), % 5.11/5.31 Or (Eq (cUnsatisfiable a) False) % 5.11/5.31 (Or (Eq (And (cc a) (cb a)) True) (Or (Eq (And (cb a) (ca a)) True) (Eq (cc a) True))) % 5.11/5.31 Clause #38 (by clausification #[36]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (cb a) (ca a)) True) (Or (Eq (ca a) True) (Eq (cb a) True))) % 5.11/5.31 Clause #39 (by clausification #[36]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (cb a) (ca a)) True) (Or (Eq (ca a) True) (Eq (cc a) True))) % 5.11/5.31 Clause #40 (by clausification #[38]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Or (Eq (cb a) True) (Eq (ca a) True))) % 5.11/5.31 Clause #42 (by eliminate duplicate literals #[40]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Eq (cb a) True)) % 5.11/5.31 Clause #43 (by superposition #[42, 5]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq False True)) % 5.11/5.31 Clause #44 (by clausification #[43]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Eq (cb i2003_11_14_17_18_1956) True) % 5.11/5.31 Clause #46 (by superposition #[44, 24]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Or (Eq True False) (Eq (cc i2003_11_14_17_18_1956) False)) % 5.11/5.31 Clause #47 (by clausification #[46]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq (cc i2003_11_14_17_18_1956) False) % 5.11/5.31 Clause #50 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (cb a) (ca a)) True) (Or (Eq (cc a) True) (Eq (cb a) True))) % 5.11/5.31 Clause #53 (by clausification #[50]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (cc a) True) (Or (Eq (cb a) True) (Eq (cb a) True))) % 5.11/5.31 Clause #54 (by eliminate duplicate literals #[53]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (cc a) True) (Eq (cb a) True)) % 5.11/5.31 Clause #55 (by superposition #[54, 5]): Or (Eq (cc i2003_11_14_17_18_1956) True) (Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq False True)) % 5.11/5.31 Clause #56 (by clausification #[55]): Or (Eq (cc i2003_11_14_17_18_1956) True) (Eq (cb i2003_11_14_17_18_1956) True) % 5.14/5.32 Clause #57 (by superposition #[56, 47]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq True False)) % 5.14/5.32 Clause #58 (by clausification #[57]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq (cb i2003_11_14_17_18_1956) True) % 5.14/5.32 Clause #59 (by eliminate duplicate literals #[58]): Eq (cb i2003_11_14_17_18_1956) True % 5.14/5.32 Clause #63 (by superposition #[59, 8]): Or (Eq True False) (Eq (cc i2003_11_14_17_18_1956) False) % 5.14/5.32 Clause #64 (by clausification #[63]): Eq (cc i2003_11_14_17_18_1956) False % 5.14/5.32 Clause #65 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Or (Eq (cc a) True) (Eq (ca a) True))) % 5.14/5.32 Clause #67 (by eliminate duplicate literals #[65]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Eq (cc a) True)) % 5.14/5.32 Clause #68 (by superposition #[67, 5]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Or (Eq (cc i2003_11_14_17_18_1956) True) (Eq False True)) % 5.14/5.32 Clause #69 (by clausification #[68]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Eq (cc i2003_11_14_17_18_1956) True) % 5.14/5.32 Clause #70 (by forward demodulation #[69, 64]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Eq False True) % 5.14/5.32 Clause #71 (by clausification #[70]): Eq (ca i2003_11_14_17_18_1956) True % 5.14/5.32 Clause #72 (by superposition #[71, 23]): Or (Eq True False) (Eq (cb i2003_11_14_17_18_1956) False) % 5.14/5.32 Clause #73 (by clausification #[72]): Eq (cb i2003_11_14_17_18_1956) False % 5.14/5.32 Clause #74 (by superposition #[73, 59]): Eq False True % 5.14/5.32 Clause #75 (by clausification #[74]): False % 5.14/5.32 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------