%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NLP267_5 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 3.52s 3.68s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NLP267_5 : TPTP v9.2.0. Released v8.2.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n007.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 09:47:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.52/3.68 SZS status Theorem for theBenchmark.p % 3.52/3.68 SZS output start Proof for theBenchmark.p % 3.52/3.68 Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» W V) True % 3.52/3.68 Clause #2 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy) % 3.52/3.68 True % 3.52/3.68 Clause #5 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True % 3.52/3.68 Clause #6 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True % 3.52/3.68 Clause #7 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True % 3.52/3.68 Clause #8 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True % 3.52/3.68 Clause #9 (by clausification #[8]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True) % 3.52/3.68 Clause #10 (by clausification #[5]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True % 3.52/3.68 Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True) % 3.52/3.68 Clause #12 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» a V) True % 3.52/3.68 Clause #13 (by clausification #[12]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» a a_1) True % 3.52/3.68 Clause #14 (by backward demodulation #[13, 9]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class a second) True) % 3.52/3.68 Clause #15 (by backward demodulation #[13, 11]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest a paris) True) % 3.52/3.68 Clause #16 (by clausification #[15]): ∀ (a : «$ki_world»), Eq (dest a paris) True % 3.52/3.68 Clause #17 (by clausification #[14]): ∀ (a : «$ki_world»), Eq (class a second) True % 3.52/3.68 Clause #25 (by clausification #[2]): ∀ (a : «$ki_world»), % 3.52/3.68 Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True % 3.52/3.68 Clause #26 (by clausification #[25]): ∀ (a : «$ki_world»), % 3.52/3.68 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True) % 3.52/3.68 Clause #27 (by clausification #[26]): ∀ (a : «$ki_world»), % 3.52/3.68 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.68 (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True)) % 3.52/3.68 Clause #28 (by clausification #[27]): ∀ (a : «$ki_world»), % 3.52/3.68 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.68 (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 3.52/3.68 Clause #29 (by forward demodulation #[28, 13]): ∀ (a : «$ki_world»), % 3.52/3.68 Or (Eq True False) (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 3.52/3.68 Clause #30 (by clausification #[29]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)) % 3.52/3.68 Clause #31 (by forward demodulation #[30, 17]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq True False)) % 3.52/3.68 Clause #32 (by clausification #[31]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq (dest a paris) False) % 3.52/3.68 Clause #33 (by superposition #[32, 16]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq False True) % 3.52/3.68 Clause #34 (by clausification #[33]): ∀ (a : «$ki_world»), Eq (price a seventy) True % 3.52/3.68 Clause #36 (by clausification #[7]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False % 3.52/3.68 Clause #37 (by clausification #[36]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True % 3.52/3.68 Clause #38 (by clausification #[37]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False % 3.52/3.68 Clause #40 (by clausification #[38]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False % 3.52/3.68 Clause #41 (by superposition #[40, 34]): Eq False True % 3.52/3.68 Clause #51 (by clausification #[41]): False % 3.52/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------