%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NLP267_4 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 3.62s 3.80s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NLP267_4 : TPTP v9.2.0. Released v8.2.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n014.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 09:58:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.62/3.80 SZS status Theorem for theBenchmark.p % 3.62/3.80 SZS output start Proof for theBenchmark.p % 3.62/3.80 Clause #3 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy) % 3.62/3.80 True % 3.62/3.80 Clause #6 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True % 3.62/3.80 Clause #7 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True % 3.62/3.80 Clause #8 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True % 3.62/3.80 Clause #10 (by clausification #[7]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True % 3.62/3.80 Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True) % 3.62/3.80 Clause #14 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True % 3.62/3.80 Clause #15 (by clausification #[14]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True) % 3.62/3.80 Clause #24 (by clausification #[3]): ∀ (a : «$ki_world»), % 3.62/3.80 Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True % 3.62/3.80 Clause #25 (by clausification #[24]): ∀ (a : «$ki_world»), % 3.62/3.80 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True) % 3.62/3.80 Clause #26 (by clausification #[25]): ∀ (a : «$ki_world»), % 3.62/3.80 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.80 (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True)) % 3.62/3.80 Clause #27 (by clausification #[26]): ∀ (a : «$ki_world»), % 3.62/3.80 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.80 (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 3.62/3.80 Clause #34 (by clausification #[8]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False % 3.62/3.80 Clause #35 (by clausification #[34]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True % 3.62/3.80 Clause #36 (by clausification #[35]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False % 3.62/3.80 Clause #37 (by clausification #[36]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True % 3.62/3.80 Clause #38 (by clausification #[36]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False % 3.62/3.80 Clause #39 (by superposition #[37, 11]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class (skS.0 0 a) second) True) % 3.62/3.80 Clause #40 (by superposition #[37, 15]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest (skS.0 0 a) paris) True) % 3.62/3.80 Clause #41 (by superposition #[37, 27]): ∀ (a : «$ki_world»), % 3.62/3.80 Or (Eq True False) % 3.62/3.80 (Or (Eq (price (skS.0 0 a) seventy) True) % 3.62/3.80 (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False))) % 3.62/3.80 Clause #54 (by clausification #[40]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) True % 3.62/3.80 Clause #55 (by clausification #[39]): ∀ (a : «$ki_world»), Eq (class (skS.0 0 a) second) True % 3.62/3.80 Clause #77 (by clausification #[41]): ∀ (a : «$ki_world»), % 3.62/3.80 Or (Eq (price (skS.0 0 a) seventy) True) % 3.62/3.80 (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)) % 3.62/3.80 Clause #78 (by forward demodulation #[77, 38]): ∀ (a : «$ki_world»), Or (Eq False True) (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)) % 3.62/3.80 Clause #79 (by clausification #[78]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False) % 3.62/3.80 Clause #80 (by forward demodulation #[79, 55]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq True False) % 3.62/3.80 Clause #81 (by clausification #[80]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) False % 3.62/3.80 Clause #82 (by superposition #[81, 54]): Eq False True % 3.62/3.80 Clause #83 (by clausification #[82]): False % 3.62/3.80 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------