%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT334_8 : 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 07:47:25 PM UTC 2025 % Result : Theorem 3.62s 3.86s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : DAT334_8 : TPTP v9.2.0. Released v8.2.0. % 0.12/0.13 % 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 21:42:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.62/3.86 SZS status Theorem for theBenchmark.p % 3.62/3.86 SZS output start Proof for theBenchmark.p % 3.62/3.86 Clause #2 (by assumption #[]): Eq % 3.62/3.86 (∀ (W : «$ki_world»), % 3.62/3.86 «$ki_accessible» «$ki_local_world» W → % 3.62/3.86 And % 3.62/3.86 (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.62/3.86 (teach W mary psych)) % 3.62/3.86 (teach W sue psych)) % 3.62/3.86 True % 3.62/3.86 Clause #3 (by assumption #[]): Eq % 3.62/3.86 (Not % 3.62/3.86 (∀ (W : «$ki_world»), % 3.62/3.86 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.62/3.86 True % 3.62/3.86 Clause #8 (by clausification #[3]): Eq % 3.62/3.86 (∀ (W : «$ki_world»), % 3.62/3.86 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)) % 3.62/3.86 False % 3.62/3.86 Clause #9 (by clausification #[8]): ∀ (a : «$ki_world»), % 3.62/3.86 Eq % 3.62/3.86 (Not % 3.62/3.86 («$ki_accessible» «$ki_local_world» (skS.0 1 a) → % 3.62/3.86 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs))) % 3.62/3.86 True % 3.62/3.86 Clause #10 (by clausification #[9]): ∀ (a : «$ki_world»), % 3.62/3.86 Eq % 3.62/3.86 («$ki_accessible» «$ki_local_world» (skS.0 1 a) → % 3.62/3.86 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs)) % 3.62/3.86 False % 3.62/3.86 Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 1 a)) True % 3.62/3.86 Clause #12 (by clausification #[10]): ∀ (a : «$ki_world»), Eq (Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs)) False % 3.62/3.86 Clause #13 (by clausification #[12]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (And («$ki_exists_in_world_$i» (skS.0 1 a) a_1) (teach (skS.0 1 a) a_1 cs)) False % 3.62/3.86 Clause #14 (by clausification #[13]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.62/3.86 Or (Eq («$ki_exists_in_world_$i» (skS.0 1 a) a_1) False) (Eq (teach (skS.0 1 a) a_1 cs) False) % 3.62/3.86 Clause #17 (by clausification #[2]): ∀ (a : «$ki_world»), % 3.62/3.86 Eq % 3.62/3.86 («$ki_accessible» «$ki_local_world» a → % 3.62/3.86 And % 3.62/3.86 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.62/3.86 (teach a mary psych)) % 3.62/3.86 (teach a sue psych)) % 3.62/3.86 True % 3.62/3.86 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world»), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.86 (Eq % 3.62/3.86 (And % 3.62/3.86 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.62/3.86 (teach a mary psych)) % 3.62/3.86 (teach a sue psych)) % 3.62/3.86 True) % 3.62/3.86 Clause #20 (by clausification #[18]): ∀ (a : «$ki_world»), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.86 (Eq % 3.62/3.86 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.62/3.86 (teach a mary psych)) % 3.62/3.86 True) % 3.62/3.86 Clause #26 (by clausification #[20]): ∀ (a : «$ki_world»), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.86 (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True) % 3.62/3.86 Clause #31 (by clausification #[26]): ∀ (a : «$ki_world»), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.86 (Eq (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)) True) % 3.62/3.86 Clause #33 (by clausification #[31]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.62/3.86 (Eq (And («$ki_exists_in_world_$i» a (skS.0 2 a a_1)) (teach a (skS.0 2 a a_1) cs)) True) % 3.62/3.86 Clause #34 (by clausification #[33]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a (skS.0 2 a a_1) cs) True) % 3.62/3.86 Clause #35 (by clausification #[33]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.62/3.86 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq («$ki_exists_in_world_$i» a (skS.0 2 a a_1)) True) % 3.62/3.86 Clause #36 (by superposition #[34, 11]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) True) (Eq False True) % 3.62/3.86 Clause #43 (by superposition #[35, 11]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.62/3.86 Or (Eq («$ki_exists_in_world_$i» (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1)) True) (Eq False True) % 3.62/3.86 Clause #45 (by clausification #[36]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) True % 3.62/3.86 Clause #47 (by clausification #[43]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1)) True % 3.62/3.86 Clause #48 (by superposition #[47, 14]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) False) % 3.62/3.86 Clause #49 (by clausification #[48]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) False % 3.62/3.86 Clause #50 (by superposition #[49, 45]): Eq False True % 3.62/3.86 Clause #51 (by clausification #[50]): False % 3.62/3.86 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------