%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NLP267_17 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 5.83s 6.06s % Output : Proof 5.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.11 % Problem : NLP267_17 : TPTP v9.2.0. Released v8.2.0. % 0.04/0.11 % Command : duper %s % 0.11/0.32 % Computer : n020.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Thu Oct 2 09:57:53 EDT 2025 % 0.11/0.32 % CPUTime : % 5.83/6.06 SZS status Theorem for theBenchmark.p % 5.83/6.06 SZS output start Proof for theBenchmark.p % 5.83/6.06 Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» #idx(b_s) W V) True % 5.83/6.06 Clause #3 (by assumption #[]): Eq % 5.83/6.06 (∀ (W : «$ki_world»), % 5.83/6.06 «$ki_accessible» #idx(b_s) «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy) % 5.83/6.06 True % 5.83/6.06 Clause #8 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» #idx(b_s) «$ki_local_world» W → And (dest W paris) (class W second)) True % 5.83/6.06 Clause #9 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» #idx(b_s) «$ki_local_world» W → price W seventy)) True % 5.83/6.06 Clause #10 (by clausification #[9]): Eq (∀ (W : «$ki_world»), «$ki_accessible» #idx(b_s) «$ki_local_world» W → price W seventy) False % 5.83/6.06 Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), % 5.83/6.06 Eq (Not («$ki_accessible» #idx(b_s) «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True % 5.83/6.06 Clause #12 (by clausification #[11]): ∀ (a : «$ki_world»), Eq («$ki_accessible» #idx(b_s) «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False % 5.83/6.06 Clause #14 (by clausification #[12]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False % 5.83/6.06 Clause #15 (by clausification #[3]): ∀ (a : «$ki_world»), % 5.83/6.06 Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True % 5.83/6.06 Clause #16 (by clausification #[15]): ∀ (a : «$ki_world»), % 5.83/6.06 Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) % 5.83/6.06 (Eq (And (dest a paris) (class a second) → price a seventy) True) % 5.83/6.06 Clause #17 (by clausification #[16]): ∀ (a : «$ki_world»), % 5.83/6.06 Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) % 5.83/6.06 (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True)) % 5.83/6.06 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world»), % 5.83/6.06 Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) % 5.83/6.06 (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 5.83/6.06 Clause #27 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» #idx(b_s) a V) True % 5.83/6.06 Clause #28 (by clausification #[27]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» #idx(b_s) a a_1) True % 5.83/6.06 Clause #29 (by superposition #[28, 18]): ∀ (a : «$ki_world»), % 5.83/6.06 Or (Eq True False) (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))) % 5.83/6.06 Clause #36 (by clausification #[8]): ∀ (a : «$ki_world»), Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a → And (dest a paris) (class a second)) True % 5.83/6.06 Clause #37 (by clausification #[36]): ∀ (a : «$ki_world»), % 5.83/6.06 Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second)) True) % 5.83/6.06 Clause #38 (by clausification #[37]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) (Eq (class a second) True) % 5.83/6.06 Clause #39 (by clausification #[37]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) (Eq (dest a paris) True) % 5.83/6.06 Clause #40 (by superposition #[38, 28]): ∀ (a : «$ki_world»), Or (Eq (class a second) True) (Eq False True) % 5.83/6.06 Clause #41 (by clausification #[40]): ∀ (a : «$ki_world»), Eq (class a second) True % 5.83/6.06 Clause #45 (by superposition #[39, 28]): ∀ (a : «$ki_world»), Or (Eq (dest a paris) True) (Eq False True) % 5.83/6.06 Clause #56 (by clausification #[45]): ∀ (a : «$ki_world»), Eq (dest a paris) True % 5.83/6.06 Clause #71 (by clausification #[29]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)) % 5.83/6.06 Clause #72 (by forward demodulation #[71, 41]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq True False)) % 5.83/6.06 Clause #73 (by clausification #[72]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq (dest a paris) False) % 5.83/6.06 Clause #74 (by superposition #[73, 56]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq False True) % 5.83/6.06 Clause #75 (by clausification #[74]): ∀ (a : «$ki_world»), Eq (price a seventy) True % 5.83/6.06 Clause #78 (by superposition #[75, 14]): Eq True False % 5.83/6.06 Clause #79 (by clausification #[78]): False % 5.83/6.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------