%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT333_3 : TPTP v9.2.0. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 3.98s 4.15s % Output : Proof 3.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : DAT333_3 : TPTP v9.2.0. Released v8.2.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n008.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 21:50:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.98/4.15 SZS status Theorem for theBenchmark.p % 3.98/4.15 SZS output start Proof for theBenchmark.p % 3.98/4.15 Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world») (X : Iota), «$ki_exists_in_world_$i» W X) True % 3.98/4.15 Clause #3 (by assumption #[]): Eq % 3.98/4.15 (∀ (W : «$ki_world»), % 3.98/4.15 «$ki_accessible» «$ki_local_world» W → % 3.98/4.15 And % 3.98/4.15 (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))) % 3.98/4.15 (teach W mary psych)) % 3.98/4.15 (teach W sue psych)) % 3.98/4.15 True % 3.98/4.15 Clause #4 (by assumption #[]): Eq % 3.98/4.15 (Not % 3.98/4.15 (Exists fun X => % 3.98/4.15 And («$ki_exists_in_world_$i» «$ki_local_world» X) % 3.98/4.15 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john X))) % 3.98/4.15 True % 3.98/4.15 Clause #5 (by clausification #[1]): ∀ (a : «$ki_world»), Eq (∀ (X : Iota), «$ki_exists_in_world_$i» a X) True % 3.98/4.15 Clause #6 (by clausification #[5]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» a a_1) True % 3.98/4.15 Clause #13 (by clausification #[4]): Eq % 3.98/4.15 (Exists fun X => % 3.98/4.15 And («$ki_exists_in_world_$i» «$ki_local_world» X) % 3.98/4.15 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john X)) % 3.98/4.15 False % 3.98/4.15 Clause #14 (by clausification #[13]): ∀ (a : Iota), % 3.98/4.15 Eq % 3.98/4.15 (And («$ki_exists_in_world_$i» «$ki_local_world» a) % 3.98/4.15 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john a)) % 3.98/4.15 False % 3.98/4.15 Clause #15 (by clausification #[14]): ∀ (a : Iota), % 3.98/4.15 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False) % 3.98/4.15 (Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john a) False) % 3.98/4.15 Clause #16 (by clausification #[15]): ∀ (a : Iota) (a_1 : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False) % 3.98/4.15 (Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1) → teach (skS.0 2 a a_1) john a)) True) % 3.98/4.15 Clause #17 (by clausification #[16]): ∀ (a : Iota) (a_1 : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False) % 3.98/4.15 (Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1) → teach (skS.0 2 a a_1) john a) False) % 3.98/4.15 Clause #18 (by clausification #[17]): ∀ (a : Iota) (a_1 : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False) % 3.98/4.15 (Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1)) True) % 3.98/4.15 Clause #19 (by clausification #[17]): ∀ (a : Iota) (a_1 : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False) (Eq (teach (skS.0 2 a a_1) john a) False) % 3.98/4.15 Clause #20 (by forward demodulation #[18, 6]): ∀ (a : Iota) (a_1 : «$ki_world»), Or (Eq True False) (Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1)) True) % 3.98/4.15 Clause #21 (by clausification #[20]): ∀ (a : Iota) (a_1 : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1)) True % 3.98/4.15 Clause #22 (by forward demodulation #[19, 6]): ∀ (a : Iota) (a_1 : «$ki_world»), Or (Eq True False) (Eq (teach (skS.0 2 a a_1) john a) False) % 3.98/4.15 Clause #23 (by clausification #[22]): ∀ (a : Iota) (a_1 : «$ki_world»), Eq (teach (skS.0 2 a a_1) john a) False % 3.98/4.15 Clause #24 (by clausification #[3]): ∀ (a : «$ki_world»), % 3.98/4.15 Eq % 3.98/4.15 («$ki_accessible» «$ki_local_world» a → % 3.98/4.15 And % 3.98/4.15 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.98/4.15 (teach a mary psych)) % 3.98/4.15 (teach a sue psych)) % 3.98/4.15 True % 3.98/4.15 Clause #25 (by clausification #[24]): ∀ (a : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.98/4.15 (Eq % 3.98/4.15 (And % 3.98/4.15 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.98/4.15 (teach a mary psych)) % 3.98/4.15 (teach a sue psych)) % 3.98/4.15 True) % 3.98/4.15 Clause #27 (by clausification #[25]): ∀ (a : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.98/4.15 (Eq % 3.98/4.15 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) % 3.98/4.15 (teach a mary psych)) % 3.98/4.15 True) % 3.98/4.15 Clause #33 (by clausification #[27]): ∀ (a : «$ki_world»), % 3.98/4.15 Or (Eq («$ki_accessible» «$ki_local_world» a) False) % 3.98/4.15 (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True) % 3.98/4.15 Clause #39 (by clausification #[33]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a john math) True) % 3.98/4.15 Clause #45 (by superposition #[39, 21]): ∀ (a : Iota) (a_1 : «$ki_world»), Or (Eq (teach (skS.0 2 a a_1) john math) True) (Eq False True) % 3.98/4.15 Clause #48 (by clausification #[45]): ∀ (a : Iota) (a_1 : «$ki_world»), Eq (teach (skS.0 2 a a_1) john math) True % 3.98/4.15 Clause #49 (by superposition #[48, 23]): Eq True False % 3.98/4.15 Clause #50 (by clausification #[49]): False % 3.98/4.15 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------