%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL954_19 : TPTP v9.3.1. 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:55 AM UTC 2026 % Result : Theorem 13.66s 14.01s % Output : Proof 13.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL954_19 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : duper %s % 0.10/0.37 % Computer : n007.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 14:47:39 UTC 2026 % 0.10/0.37 % CPUTime : % 13.66/14.01 SZS status Theorem for theBenchmark.p % 13.66/14.01 SZS output start Proof for theBenchmark.p % 13.66/14.01 Clause #136 (by assumption #[]): Eq % 13.66/14.01 (Not % 13.66/14.01 (∀ (W : «$ki_world»), % 13.66/14.01 «$ki_accessible» «$ki_local_world» W → % 13.66/14.01 (∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → true W0) → % 13.66/14.01 ∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → true W0)) % 13.66/14.01 True % 13.66/14.01 Clause #421 (by clausification #[136]): Eq % 13.66/14.01 (∀ (W : «$ki_world»), % 13.66/14.01 «$ki_accessible» «$ki_local_world» W → % 13.66/14.01 (∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → true W0) → ∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → true W0) % 13.66/14.01 False % 13.66/14.01 Clause #422 (by clausification #[421]): ∀ (a : «$ki_world»), % 13.66/14.01 Eq % 13.66/14.01 (Not % 13.66/14.01 («$ki_accessible» «$ki_local_world» (skS.0 9 a) → % 13.66/14.01 (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) → % 13.66/14.01 ∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0)) % 13.66/14.01 True % 13.66/14.01 Clause #423 (by clausification #[422]): ∀ (a : «$ki_world»), % 13.66/14.01 Eq % 13.66/14.01 («$ki_accessible» «$ki_local_world» (skS.0 9 a) → % 13.66/14.01 (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) → % 13.66/14.01 ∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) % 13.66/14.01 False % 13.66/14.01 Clause #425 (by clausification #[423]): ∀ (a : «$ki_world»), % 13.66/14.01 Eq % 13.66/14.01 ((∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) → % 13.66/14.01 ∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) % 13.66/14.01 False % 13.66/14.01 Clause #460 (by clausification #[425]): ∀ (a : «$ki_world»), Eq (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) True % 13.66/14.01 Clause #461 (by clausification #[425]): ∀ (a : «$ki_world»), Eq (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 9 a) W0 → true W0) False % 13.66/14.01 Clause #462 (by clausification #[460]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» (skS.0 9 a) a_1 → true a_1) True % 13.66/14.01 Clause #463 (by clausification #[462]): ∀ (a a_1 : «$ki_world»), Or (Eq («$ki_accessible» (skS.0 9 a) a_1) False) (Eq (true a_1) True) % 13.66/14.01 Clause #465 (by clausification #[461]): ∀ (a a_1 : «$ki_world»), Eq (Not («$ki_accessible» (skS.0 9 a) (skS.0 10 a a_1) → true (skS.0 10 a a_1))) True % 13.66/14.01 Clause #466 (by clausification #[465]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» (skS.0 9 a) (skS.0 10 a a_1) → true (skS.0 10 a a_1)) False % 13.66/14.01 Clause #467 (by clausification #[466]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» (skS.0 9 a) (skS.0 10 a a_1)) True % 13.66/14.01 Clause #468 (by clausification #[466]): ∀ (a a_1 : «$ki_world»), Eq (true (skS.0 10 a a_1)) False % 13.66/14.01 Clause #469 (by superposition #[467, 463]): ∀ (a a_1 : «$ki_world»), Or (Eq True False) (Eq (true (skS.0 10 a a_1)) True) % 13.66/14.01 Clause #691 (by clausification #[469]): ∀ (a a_1 : «$ki_world»), Eq (true (skS.0 10 a a_1)) True % 13.66/14.01 Clause #692 (by superposition #[691, 468]): Eq True False % 13.66/14.01 Clause #693 (by clausification #[692]): False % 13.66/14.01 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------