%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NLP267_1 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 07:55:59 PM UTC 2025 % Result : Theorem 3.51s 3.72s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NLP267_1 : TPTP v9.2.0. Released v8.2.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n012.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 09:49:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.51/3.72 SZS status Theorem for theBenchmark.p % 3.51/3.72 SZS output start Proof for theBenchmark.p % 3.51/3.72 Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy) % 3.51/3.72 True % 3.51/3.72 Clause #4 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True % 3.51/3.72 Clause #5 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True % 3.51/3.72 Clause #6 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True % 3.51/3.72 Clause #7 (by clausification #[5]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True % 3.51/3.72 Clause #8 (by clausification #[7]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True) % 3.51/3.72 Clause #9 (by clausification #[4]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True % 3.51/3.72 Clause #10 (by clausification #[9]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True) % 3.51/3.72 Clause #11 (by clausification #[6]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False % 3.51/3.72 Clause #12 (by clausification #[11]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True % 3.51/3.72 Clause #13 (by clausification #[12]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False % 3.51/3.72 Clause #14 (by clausification #[13]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True % 3.51/3.72 Clause #15 (by clausification #[13]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False % 3.51/3.72 Clause #16 (by superposition #[14, 8]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class (skS.0 0 a) second) True) % 3.51/3.72 Clause #17 (by superposition #[14, 10]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest (skS.0 0 a) paris) True) % 3.51/3.72 Clause #18 (by clausification #[1]): ∀ (a : «$ki_world»), % 3.51/3.72 Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True % 3.51/3.72 Clause #19 (by clausification #[18]): ∀ (a : «$ki_world»), % 3.51/3.72 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True) % 3.51/3.72 Clause #20 (by clausification #[19]): ∀ (a : «$ki_world»), % 3.51/3.72 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.51/3.72 (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True)) % 3.51/3.72 Clause #21 (by clausification #[20]): ∀ (a : «$ki_world»), % 3.51/3.72 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.51/3.72 (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 3.51/3.72 Clause #22 (by superposition #[21, 14]): ∀ (a : «$ki_world»), % 3.51/3.72 Or (Eq (price (skS.0 0 a) seventy) True) % 3.51/3.72 (Or (Eq (dest (skS.0 0 a) paris) False) (Or (Eq (class (skS.0 0 a) second) False) (Eq False True))) % 3.51/3.72 Clause #33 (by clausification #[17]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) True % 3.51/3.72 Clause #34 (by clausification #[16]): ∀ (a : «$ki_world»), Eq (class (skS.0 0 a) second) True % 3.51/3.72 Clause #43 (by clausification #[22]): ∀ (a : «$ki_world»), % 3.51/3.72 Or (Eq (price (skS.0 0 a) seventy) True) % 3.51/3.72 (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)) % 3.51/3.72 Clause #44 (by forward demodulation #[43, 15]): ∀ (a : «$ki_world»), Or (Eq False True) (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)) % 3.51/3.72 Clause #45 (by clausification #[44]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False) % 3.51/3.72 Clause #46 (by forward demodulation #[45, 34]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq True False) % 3.51/3.72 Clause #47 (by clausification #[46]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) False % 3.51/3.72 Clause #48 (by superposition #[47, 33]): Eq False True % 3.51/3.72 Clause #49 (by clausification #[48]): False % 3.51/3.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------