%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NLP267_2 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 07:56:00 PM UTC 2025 % Result : Theorem 4.92s 5.08s % Output : Proof 4.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NLP267_2 : TPTP v9.2.0. Released v8.2.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n006.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 09:47:38 EDT 2025 % 0.12/0.34 % CPUTime : % 4.92/5.08 SZS status Theorem for theBenchmark.p % 4.92/5.08 SZS output start Proof for theBenchmark.p % 4.92/5.08 Clause #2 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy) % 4.92/5.08 True % 4.92/5.08 Clause #5 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True % 4.92/5.08 Clause #6 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True % 4.92/5.08 Clause #7 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True % 4.92/5.08 Clause #9 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True % 4.92/5.08 Clause #10 (by clausification #[9]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True) % 4.92/5.08 Clause #13 (by clausification #[5]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True % 4.92/5.08 Clause #14 (by clausification #[13]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True) % 4.92/5.08 Clause #22 (by clausification #[2]): ∀ (a : «$ki_world»), % 4.92/5.08 Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True % 4.92/5.08 Clause #23 (by clausification #[22]): ∀ (a : «$ki_world»), % 4.92/5.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True) % 4.92/5.08 Clause #24 (by clausification #[23]): ∀ (a : «$ki_world»), % 4.92/5.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 4.92/5.08 (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True)) % 4.92/5.08 Clause #25 (by clausification #[24]): ∀ (a : «$ki_world»), % 4.92/5.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 4.92/5.08 (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 4.92/5.08 Clause #27 (by clausification #[7]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False % 4.92/5.08 Clause #28 (by clausification #[27]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True % 4.92/5.08 Clause #29 (by clausification #[28]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False % 4.92/5.08 Clause #30 (by clausification #[29]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True % 4.92/5.08 Clause #31 (by clausification #[29]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False % 4.92/5.08 Clause #32 (by superposition #[30, 10]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class (skS.0 0 a) second) True) % 4.92/5.08 Clause #33 (by superposition #[30, 14]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest (skS.0 0 a) paris) True) % 4.92/5.08 Clause #35 (by superposition #[30, 25]): ∀ (a : «$ki_world»), % 4.92/5.08 Or (Eq True False) % 4.92/5.08 (Or (Eq (price (skS.0 0 a) seventy) True) % 4.92/5.08 (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False))) % 4.92/5.08 Clause #52 (by clausification #[33]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) True % 4.92/5.08 Clause #53 (by clausification #[32]): ∀ (a : «$ki_world»), Eq (class (skS.0 0 a) second) True % 4.92/5.08 Clause #69 (by clausification #[35]): ∀ (a : «$ki_world»), % 4.92/5.08 Or (Eq (price (skS.0 0 a) seventy) True) % 4.92/5.08 (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)) % 4.92/5.08 Clause #70 (by forward demodulation #[69, 31]): ∀ (a : «$ki_world»), Or (Eq False True) (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)) % 4.92/5.08 Clause #71 (by clausification #[70]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False) % 4.92/5.08 Clause #72 (by forward demodulation #[71, 53]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq True False) % 4.92/5.08 Clause #73 (by clausification #[72]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) False % 4.92/5.08 Clause #74 (by superposition #[73, 52]): Eq False True % 4.92/5.08 Clause #77 (by clausification #[74]): False % 4.92/5.08 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------