%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT334_23 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 3.52s 3.69s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : DAT334_23 : TPTP v9.2.0. Released v8.2.0. % 0.08/0.14 % Command : duper %s % 0.14/0.35 % Computer : n031.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 21:56:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.52/3.69 SZS status Theorem for theBenchmark.p % 3.52/3.69 SZS output start Proof for theBenchmark.p % 3.52/3.69 Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» W V) True % 3.52/3.69 Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world») (X : Iota), «$ki_exists_in_world_$i» W X) True % 3.52/3.69 Clause #3 (by assumption #[]): Eq % 3.52/3.69 (∀ (W : «$ki_world»), % 3.52/3.69 «$ki_accessible» «$ki_local_world» W → % 3.52/3.69 And % 3.52/3.69 (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.52/3.69 (teach W mary psych)) % 3.52/3.69 (teach W sue psych)) % 3.52/3.69 True % 3.52/3.69 Clause #4 (by assumption #[]): Eq % 3.52/3.69 (Not % 3.52/3.69 (∀ (W : «$ki_world»), % 3.52/3.69 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.52/3.69 True % 3.52/3.69 Clause #5 (by clausification #[1]): ∀ (a : «$ki_world»), Eq (∀ (X : Iota), «$ki_exists_in_world_$i» a X) True % 3.52/3.69 Clause #6 (by clausification #[5]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» a a_1) True % 3.52/3.69 Clause #7 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» a V) True % 3.52/3.69 Clause #8 (by clausification #[7]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» a a_1) True % 3.52/3.69 Clause #12 (by clausification #[4]): Eq % 3.52/3.69 (∀ (W : «$ki_world»), % 3.52/3.69 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)) % 3.52/3.69 False % 3.52/3.69 Clause #13 (by clausification #[12]): ∀ (a : «$ki_world»), % 3.52/3.69 Eq % 3.52/3.69 (Not % 3.52/3.69 («$ki_accessible» «$ki_local_world» (skS.0 1 a) → % 3.52/3.69 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs))) % 3.52/3.69 True % 3.52/3.69 Clause #14 (by clausification #[13]): ∀ (a : «$ki_world»), % 3.52/3.69 Eq % 3.52/3.69 («$ki_accessible» «$ki_local_world» (skS.0 1 a) → % 3.52/3.69 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs)) % 3.52/3.69 False % 3.52/3.69 Clause #16 (by clausification #[14]): ∀ (a : «$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 % 3.52/3.69 Clause #17 (by clausification #[16]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (And («$ki_exists_in_world_$i» (skS.0 1 a) a_1) (teach (skS.0 1 a) a_1 cs)) False % 3.52/3.69 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.52/3.69 Or (Eq («$ki_exists_in_world_$i» (skS.0 1 a) a_1) False) (Eq (teach (skS.0 1 a) a_1 cs) False) % 3.52/3.69 Clause #19 (by forward demodulation #[18, 6]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach (skS.0 1 a) a_1 cs) False) % 3.52/3.69 Clause #20 (by clausification #[19]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 1 a) a_1 cs) False % 3.52/3.69 Clause #21 (by clausification #[3]): ∀ (a : «$ki_world»), % 3.52/3.69 Eq % 3.52/3.69 («$ki_accessible» «$ki_local_world» a → % 3.52/3.69 And % 3.52/3.69 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.52/3.69 (teach a mary psych)) % 3.52/3.69 (teach a sue psych)) % 3.52/3.69 True % 3.52/3.69 Clause #22 (by clausification #[21]): ∀ (a : «$ki_world»), % 3.52/3.69 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.69 (Eq % 3.52/3.69 (And % 3.52/3.69 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.52/3.69 (teach a mary psych)) % 3.52/3.69 (teach a sue psych)) % 3.52/3.69 True) % 3.52/3.69 Clause #24 (by clausification #[22]): ∀ (a : «$ki_world»), % 3.52/3.69 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.69 (Eq % 3.52/3.69 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.52/3.69 (teach a mary psych)) % 3.52/3.69 True) % 3.52/3.69 Clause #28 (by clausification #[24]): ∀ (a : «$ki_world»), % 3.52/3.69 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.69 (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True) % 3.52/3.69 Clause #31 (by clausification #[28]): ∀ (a : «$ki_world»), % 3.52/3.69 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.69 (Eq (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)) True) % 3.52/3.69 Clause #33 (by clausification #[31]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.52/3.69 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.52/3.70 (Eq (And («$ki_exists_in_world_$i» a (skS.0 2 a a_1)) (teach a (skS.0 2 a a_1) cs)) True) % 3.52/3.70 Clause #34 (by clausification #[33]): ∀ (a : «$ki_world») (a_1 : Iota), % 3.52/3.70 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a (skS.0 2 a a_1) cs) True) % 3.52/3.70 Clause #36 (by forward demodulation #[34, 8]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach a (skS.0 2 a a_1) cs) True) % 3.52/3.70 Clause #37 (by clausification #[36]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach a (skS.0 2 a a_1) cs) True % 3.52/3.70 Clause #38 (by superposition #[37, 20]): Eq True False % 3.52/3.70 Clause #39 (by clausification #[38]): False % 3.52/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------