%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO895_9 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 08:09:43 PM UTC 2025 % Result : Theorem 3.66s 3.84s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO895_9 : TPTP v9.2.0. Released v8.2.0. % 0.12/0.13 % Command : duper %s % 0.13/0.35 % Computer : n018.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 12:53:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.66/3.84 SZS status Theorem for theBenchmark.p % 3.66/3.84 SZS output start Proof for theBenchmark.p % 3.66/3.84 Clause #1 (by assumption #[]): Eq % 3.66/3.84 (Not % 3.66/3.84 (And (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) % 3.66/3.84 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → q W) → % 3.66/3.84 ∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (p W) (q W))) % 3.66/3.84 True % 3.66/3.84 Clause #5 (by clausification #[1]): Eq % 3.66/3.84 (And (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) % 3.66/3.84 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → q W) → % 3.66/3.84 ∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (p W) (q W)) % 3.66/3.84 False % 3.66/3.84 Clause #6 (by clausification #[5]): Eq % 3.66/3.84 (And (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) % 3.66/3.84 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → q W)) % 3.66/3.84 True % 3.66/3.84 Clause #7 (by clausification #[5]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (p W) (q W)) False % 3.66/3.84 Clause #8 (by clausification #[6]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → q W) True % 3.66/3.84 Clause #9 (by clausification #[6]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) True % 3.66/3.84 Clause #10 (by clausification #[8]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → q a) True % 3.66/3.84 Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (q a) True) % 3.66/3.84 Clause #13 (by clausification #[9]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → p a) True % 3.66/3.84 Clause #14 (by clausification #[13]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (p a) True) % 3.66/3.84 Clause #16 (by clausification #[7]): ∀ (a : «$ki_world»), % 3.66/3.84 Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 1 a) → And (p (skS.0 1 a)) (q (skS.0 1 a)))) True % 3.66/3.84 Clause #17 (by clausification #[16]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 1 a) → And (p (skS.0 1 a)) (q (skS.0 1 a))) False % 3.66/3.84 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 1 a)) True % 3.66/3.84 Clause #19 (by clausification #[17]): ∀ (a : «$ki_world»), Eq (And (p (skS.0 1 a)) (q (skS.0 1 a))) False % 3.66/3.84 Clause #20 (by superposition #[18, 11]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (q (skS.0 1 a)) True) % 3.66/3.84 Clause #21 (by superposition #[18, 14]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (p (skS.0 1 a)) True) % 3.66/3.84 Clause #22 (by clausification #[21]): ∀ (a : «$ki_world»), Eq (p (skS.0 1 a)) True % 3.66/3.84 Clause #24 (by clausification #[20]): ∀ (a : «$ki_world»), Eq (q (skS.0 1 a)) True % 3.66/3.84 Clause #26 (by clausification #[19]): ∀ (a : «$ki_world»), Or (Eq (p (skS.0 1 a)) False) (Eq (q (skS.0 1 a)) False) % 3.66/3.84 Clause #27 (by forward demodulation #[26, 24]): ∀ (a : «$ki_world»), Or (Eq (p (skS.0 1 a)) False) (Eq True False) % 3.66/3.84 Clause #28 (by clausification #[27]): ∀ (a : «$ki_world»), Eq (p (skS.0 1 a)) False % 3.66/3.84 Clause #29 (by superposition #[28, 22]): Eq False True % 3.66/3.84 Clause #30 (by clausification #[29]): False % 3.66/3.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------