%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB030+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:03:29 PM UTC 2025 % Result : Unsatisfiable 4.31s 4.55s % Output : Proof 4.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWB030+2 : TPTP v9.2.0. Released v5.2.0. % 0.08/0.14 % Command : duper %s % 0.13/0.36 % Computer : n028.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Thu Oct 2 11:52:08 EDT 2025 % 0.13/0.36 % CPUTime : % 4.31/4.55 SZS status Theorem for theBenchmark.p % 4.31/4.55 SZS output start Proof for theBenchmark.p % 4.31/4.55 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 4.31/4.55 Clause #1 (by assumption #[]): Eq % 4.31/4.55 (∀ (Z P V : Iota), % 4.31/4.55 And (iext uri_owl_hasSelf Z V) (iext uri_owl_onProperty Z P) → ∀ (X : Iota), Iff (icext Z X) (iext P X X)) % 4.31/4.55 True % 4.31/4.55 Clause #2 (by assumption #[]): Eq % 4.31/4.55 (∀ (Z C : Iota), % 4.31/4.55 iext uri_owl_complementOf Z C → And (And (ic Z) (ic C)) (∀ (X : Iota), Iff (icext Z X) (Not (icext C X)))) % 4.31/4.55 True % 4.31/4.55 Clause #3 (by assumption #[]): Eq % 4.31/4.55 (Exists fun BNODE_x => % 4.31/4.55 And % 4.31/4.55 (And % 4.31/4.55 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c BNODE_x)) % 4.31/4.55 (iext uri_rdf_type BNODE_x uri_owl_Restriction)) % 4.31/4.55 (iext uri_owl_onProperty BNODE_x uri_rdf_type)) % 4.31/4.55 (iext uri_owl_hasSelf BNODE_x (literal_typed dat_str_true uri_xsd_boolean))) % 4.31/4.55 True % 4.31/4.55 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 4.31/4.55 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 4.31/4.55 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False) % 4.31/4.55 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True) % 4.31/4.55 Clause #8 (by clausification #[1]): ∀ (a : Iota), % 4.31/4.55 Eq % 4.31/4.55 (∀ (P V : Iota), % 4.31/4.55 And (iext uri_owl_hasSelf a V) (iext uri_owl_onProperty a P) → ∀ (X : Iota), Iff (icext a X) (iext P X X)) % 4.31/4.55 True % 4.31/4.55 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), % 4.31/4.55 Eq % 4.31/4.55 (∀ (V : Iota), % 4.31/4.55 And (iext uri_owl_hasSelf a V) (iext uri_owl_onProperty a a_1) → ∀ (X : Iota), Iff (icext a X) (iext a_1 X X)) % 4.31/4.55 True % 4.31/4.55 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), % 4.31/4.55 Eq (And (iext uri_owl_hasSelf a a_1) (iext uri_owl_onProperty a a_2) → ∀ (X : Iota), Iff (icext a X) (iext a_2 X X)) % 4.31/4.55 True % 4.31/4.55 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), % 4.31/4.55 Or (Eq (And (iext uri_owl_hasSelf a a_1) (iext uri_owl_onProperty a a_2)) False) % 4.31/4.55 (Eq (∀ (X : Iota), Iff (icext a X) (iext a_2 X X)) True) % 4.31/4.55 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), % 4.31/4.55 Or (Eq (∀ (X : Iota), Iff (icext a X) (iext a_1 X X)) True) % 4.31/4.55 (Or (Eq (iext uri_owl_hasSelf a a_2) False) (Eq (iext uri_owl_onProperty a a_1) False)) % 4.31/4.55 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_hasSelf a a_1) False) % 4.31/4.55 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Eq (Iff (icext a a_3) (iext a_2 a_3 a_3)) True)) % 4.31/4.55 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_hasSelf a a_1) False) % 4.31/4.55 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Or (Eq (icext a a_3) True) (Eq (iext a_2 a_3 a_3) False))) % 4.31/4.55 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_hasSelf a a_1) False) % 4.31/4.55 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Or (Eq (icext a a_3) False) (Eq (iext a_2 a_3 a_3) True))) % 4.31/4.55 Clause #16 (by clausification #[2]): ∀ (a : Iota), % 4.31/4.55 Eq % 4.31/4.55 (∀ (C : Iota), % 4.31/4.55 iext uri_owl_complementOf a C → And (And (ic a) (ic C)) (∀ (X : Iota), Iff (icext a X) (Not (icext C X)))) % 4.31/4.55 True % 4.31/4.55 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), % 4.31/4.55 Eq (iext uri_owl_complementOf a a_1 → And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (Not (icext a_1 X)))) % 4.31/4.55 True % 4.31/4.55 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_complementOf a a_1) False) % 4.31/4.55 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (Not (icext a_1 X)))) True) % 4.31/4.55 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_complementOf a a_1) False) (Eq (∀ (X : Iota), Iff (icext a X) (Not (icext a_1 X))) True) % 4.31/4.55 Clause #21 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_complementOf a a_1) False) (Eq (Iff (icext a a_2) (Not (icext a_1 a_2))) True) % 4.31/4.55 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 4.31/4.55 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) True) (Eq (Not (icext a_1 a_2)) False)) % 4.41/4.58 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (Not (icext a_1 a_2)) True)) % 4.41/4.58 Clause #24 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) True) (Eq (icext a_1 a_2) True)) % 4.41/4.58 Clause #25 (by clausification #[3]): ∀ (a : Iota), % 4.41/4.58 Eq % 4.41/4.58 (And % 4.41/4.58 (And % 4.41/4.58 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a))) % 4.41/4.58 (iext uri_rdf_type (skS.0 0 a) uri_owl_Restriction)) % 4.41/4.58 (iext uri_owl_onProperty (skS.0 0 a) uri_rdf_type)) % 4.41/4.58 (iext uri_owl_hasSelf (skS.0 0 a) (literal_typed dat_str_true uri_xsd_boolean))) % 4.41/4.58 True % 4.41/4.58 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (iext uri_owl_hasSelf (skS.0 0 a) (literal_typed dat_str_true uri_xsd_boolean)) True % 4.41/4.58 Clause #27 (by clausification #[25]): ∀ (a : Iota), % 4.41/4.58 Eq % 4.41/4.58 (And % 4.41/4.58 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a))) % 4.41/4.58 (iext uri_rdf_type (skS.0 0 a) uri_owl_Restriction)) % 4.41/4.58 (iext uri_owl_onProperty (skS.0 0 a) uri_rdf_type)) % 4.41/4.58 True % 4.41/4.58 Clause #28 (by superposition #[26, 14]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq True False) % 4.41/4.58 (Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False) % 4.41/4.58 (Or (Eq (icext (skS.0 0 a) a_2) True) (Eq (iext a_1 a_2 a_2) False))) % 4.41/4.58 Clause #29 (by superposition #[26, 15]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq True False) % 4.41/4.58 (Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False) % 4.41/4.58 (Or (Eq (icext (skS.0 0 a) a_2) False) (Eq (iext a_1 a_2 a_2) True))) % 4.41/4.58 Clause #32 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) False)) % 4.41/4.58 Clause #33 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False) % 4.41/4.58 (Or (Eq (icext (skS.0 0 a) a_2) True) (Eq (iext a_1 a_2 a_2) False)) % 4.41/4.58 Clause #34 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), % 4.41/4.58 Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False) % 4.41/4.58 (Or (Eq (icext (skS.0 0 a) a_2) False) (Eq (iext a_1 a_2 a_2) True)) % 4.41/4.58 Clause #35 (by clausification #[27]): ∀ (a : Iota), Eq (iext uri_owl_onProperty (skS.0 0 a) uri_rdf_type) True % 4.41/4.58 Clause #36 (by clausification #[27]): ∀ (a : Iota), % 4.41/4.58 Eq % 4.41/4.58 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a))) % 4.41/4.58 (iext uri_rdf_type (skS.0 0 a) uri_owl_Restriction)) % 4.41/4.58 True % 4.41/4.58 Clause #37 (by superposition #[35, 33]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext (skS.0 0 a) a_1) True) (Eq (iext uri_rdf_type a_1 a_1) False)) % 4.41/4.58 Clause #38 (by superposition #[35, 34]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext (skS.0 0 a) a_1) False) (Eq (iext uri_rdf_type a_1 a_1) True)) % 4.41/4.58 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (icext (skS.0 0 a) a_1) False) (Eq (iext uri_rdf_type a_1 a_1) True) % 4.41/4.58 Clause #40 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (icext (skS.0 0 a) a_1) True) (Eq (iext uri_rdf_type a_1 a_1) False) % 4.41/4.58 Clause #42 (by clausification #[36]): ∀ (a : Iota), Eq (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a))) True % 4.41/4.58 Clause #46 (by clausification #[42]): ∀ (a : Iota), Eq (iext uri_owl_complementOf uri_ex_c (skS.0 0 a)) True % 4.41/4.58 Clause #48 (by superposition #[46, 24]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_ex_c a) True) (Eq (icext (skS.0 0 a_1) a) True)) % 4.41/4.58 Clause #51 (by superposition #[46, 32]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_ex_c a) False) (Eq (icext (skS.0 0 a_1) a) False)) % 4.41/4.58 Clause #57 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_c a) True) (Eq (icext (skS.0 0 a_1) a) True) % 4.41/4.58 Clause #58 (by superposition #[57, 39]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Or (Eq True False) (Eq (iext uri_rdf_type a a) True)) % 4.41/4.58 Clause #60 (by clausification #[58]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Eq (iext uri_rdf_type a a) True) % 4.41/4.59 Clause #61 (by superposition #[60, 7]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Or (Eq True False) (Eq (icext a a) True)) % 4.41/4.59 Clause #63 (by clausification #[61]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Eq (icext a a) True) % 4.41/4.59 Clause #67 (by equality factoring #[63]): Or (Ne True True) (Eq (icext uri_ex_c uri_ex_c) True) % 4.41/4.59 Clause #68 (by clausification #[67]): Or (Eq (icext uri_ex_c uri_ex_c) True) (Or (Eq True False) (Eq True False)) % 4.41/4.59 Clause #70 (by clausification #[68]): Or (Eq (icext uri_ex_c uri_ex_c) True) (Eq True False) % 4.41/4.59 Clause #71 (by clausification #[70]): Eq (icext uri_ex_c uri_ex_c) True % 4.41/4.59 Clause #72 (by superposition #[71, 6]): Or (Eq (iext uri_rdf_type uri_ex_c uri_ex_c) True) (Eq True False) % 4.41/4.59 Clause #73 (by clausification #[72]): Eq (iext uri_rdf_type uri_ex_c uri_ex_c) True % 4.41/4.59 Clause #75 (by superposition #[73, 40]): ∀ (a : Iota), Or (Eq (icext (skS.0 0 a) uri_ex_c) True) (Eq True False) % 4.41/4.59 Clause #76 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_c a) False) (Eq (icext (skS.0 0 a_1) a) False) % 4.41/4.59 Clause #77 (by superposition #[76, 71]): ∀ (a : Iota), Or (Eq (icext (skS.0 0 a) uri_ex_c) False) (Eq False True) % 4.41/4.59 Clause #79 (by clausification #[77]): ∀ (a : Iota), Eq (icext (skS.0 0 a) uri_ex_c) False % 4.41/4.59 Clause #81 (by clausification #[75]): ∀ (a : Iota), Eq (icext (skS.0 0 a) uri_ex_c) True % 4.41/4.59 Clause #82 (by superposition #[81, 79]): Eq True False % 4.41/4.59 Clause #85 (by clausification #[82]): False % 4.41/4.59 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------