%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT334_21 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 07:47:24 PM UTC 2025 % Result : Theorem 3.92s 4.08s % Output : Proof 3.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : DAT334_21 : TPTP v9.2.0. Released v8.2.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n019.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 21:48:53 EDT 2025 % 0.14/0.34 % CPUTime : % 3.92/4.08 SZS status Theorem for theBenchmark.p % 3.92/4.08 SZS output start Proof for theBenchmark.p % 3.92/4.08 Clause #3 (by assumption #[]): Eq % 3.92/4.08 (∀ (W : «$ki_world»), % 3.92/4.08 «$ki_accessible» «$ki_local_world» W → % 3.92/4.08 And % 3.92/4.08 (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.92/4.08 (teach W mary psych)) % 3.92/4.08 (teach W sue psych)) % 3.92/4.08 True % 3.92/4.08 Clause #4 (by assumption #[]): Eq % 3.92/4.08 (Not % 3.92/4.08 (∀ (W : «$ki_world»), % 3.92/4.08 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.92/4.08 True % 3.92/4.08 Clause #17 (by clausification #[4]): Eq % 3.92/4.08 (∀ (W : «$ki_world»), % 3.92/4.08 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)) % 3.92/4.08 False % 3.92/4.08 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world»), % 3.92/4.08 Eq % 3.92/4.08 (Not % 3.92/4.08 («$ki_accessible» «$ki_local_world» (skS.0 2 a) → % 3.92/4.08 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 2 a) X) (teach (skS.0 2 a) X cs))) % 3.92/4.08 True % 3.92/4.08 Clause #19 (by clausification #[18]): ∀ (a : «$ki_world»), % 3.92/4.08 Eq % 3.92/4.08 («$ki_accessible» «$ki_local_world» (skS.0 2 a) → % 3.92/4.08 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 2 a) X) (teach (skS.0 2 a) X cs)) % 3.92/4.08 False % 3.92/4.08 Clause #20 (by clausification #[19]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a)) True % 3.92/4.08 Clause #21 (by clausification #[19]): ∀ (a : «$ki_world»), Eq (Exists fun X => And («$ki_exists_in_world_$i» (skS.0 2 a) X) (teach (skS.0 2 a) X cs)) False % 3.92/4.08 Clause #25 (by clausification #[3]): ∀ (a : «$ki_world»), % 3.92/4.08 Eq % 3.92/4.08 («$ki_accessible» «$ki_local_world» a → % 3.92/4.08 And % 3.92/4.08 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.92/4.08 (teach a mary psych)) % 3.92/4.08 (teach a sue psych)) % 3.92/4.08 True % 3.92/4.08 Clause #26 (by clausification #[25]): ∀ (a : «$ki_world»), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.92/4.08 (Eq % 3.92/4.08 (And % 3.92/4.08 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.92/4.08 (teach a mary psych)) % 3.92/4.08 (teach a sue psych)) % 3.92/4.08 True) % 3.92/4.08 Clause #28 (by clausification #[26]): ∀ (a : «$ki_world»), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.92/4.08 (Eq % 3.92/4.08 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.92/4.08 (teach a mary psych)) % 3.92/4.08 True) % 3.92/4.08 Clause #38 (by clausification #[21]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (And («$ki_exists_in_world_$i» (skS.0 2 a) a_1) (teach (skS.0 2 a) a_1 cs)) False % 3.92/4.08 Clause #39 (by clausification #[38]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.92/4.08 Or (Eq («$ki_exists_in_world_$i» (skS.0 2 a) a_1) False) (Eq (teach (skS.0 2 a) a_1 cs) False) % 3.92/4.08 Clause #49 (by clausification #[28]): ∀ (a : «$ki_world»), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.92/4.08 (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True) % 3.92/4.08 Clause #55 (by clausification #[49]): ∀ (a : «$ki_world»), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.92/4.08 (Eq (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)) True) % 3.92/4.08 Clause #57 (by clausification #[55]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.92/4.08 (Eq (And («$ki_exists_in_world_$i» a (skS.0 3 a a_1)) (teach a (skS.0 3 a a_1) cs)) True) % 3.92/4.08 Clause #58 (by clausification #[57]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a (skS.0 3 a a_1) cs) True) % 3.92/4.08 Clause #59 (by clausification #[57]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.92/4.08 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq («$ki_exists_in_world_$i» a (skS.0 3 a a_1)) True) % 3.92/4.08 Clause #60 (by superposition #[58, 20]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq (teach (skS.0 2 a) (skS.0 3 (skS.0 2 a) a_1) cs) True) (Eq False True) % 3.92/4.08 Clause #69 (by superposition #[59, 20]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.92/4.08 Or (Eq («$ki_exists_in_world_$i» (skS.0 2 a) (skS.0 3 (skS.0 2 a) a_1)) True) (Eq False True) % 3.92/4.08 Clause #71 (by clausification #[69]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» (skS.0 2 a) (skS.0 3 (skS.0 2 a) a_1)) True % 3.92/4.08 Clause #72 (by superposition #[71, 39]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach (skS.0 2 a) (skS.0 3 (skS.0 2 a) a_1) cs) False) % 3.92/4.08 Clause #74 (by clausification #[72]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 2 a) (skS.0 3 (skS.0 2 a) a_1) cs) False % 3.92/4.08 Clause #75 (by clausification #[60]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 2 a) (skS.0 3 (skS.0 2 a) a_1) cs) True % 3.92/4.08 Clause #76 (by superposition #[75, 74]): Eq True False % 3.92/4.08 Clause #77 (by clausification #[76]): False % 3.92/4.08 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------