%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB009+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:03:23 PM UTC 2025 % Result : Theorem 3.73s 3.90s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWB009+2 : TPTP v9.2.0. Released v5.2.0. % 0.03/0.14 % Command : duper %s % 0.13/0.35 % Computer : n024.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 11:52:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.73/3.90 SZS status Theorem for theBenchmark.p % 3.73/3.90 SZS output start Proof for theBenchmark.p % 3.73/3.90 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 3.73/3.90 Clause #1 (by assumption #[]): Eq % 3.73/3.90 (∀ (Z P C : Iota), % 3.73/3.90 And (iext uri_owl_someValuesFrom Z C) (iext uri_owl_onProperty Z P) → % 3.73/3.90 ∀ (X : Iota), Iff (icext Z X) (Exists fun Y => And (iext P X Y) (icext C Y))) % 3.73/3.90 True % 3.73/3.90 Clause #2 (by assumption #[]): Eq (Not (Exists fun BNODE_x => And (iext uri_ex_p uri_ex_s BNODE_x) (iext uri_rdf_type BNODE_x uri_ex_c))) True % 3.73/3.90 Clause #3 (by assumption #[]): Eq % 3.73/3.90 (Exists fun BNODE_z => % 3.73/3.90 And % 3.73/3.90 (And % 3.73/3.90 (And % 3.73/3.90 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class)) % 3.73/3.90 (iext uri_rdf_type uri_ex_s BNODE_z)) % 3.73/3.90 (iext uri_rdf_type BNODE_z uri_owl_Restriction)) % 3.73/3.90 (iext uri_owl_onProperty BNODE_z uri_ex_p)) % 3.73/3.90 (iext uri_owl_someValuesFrom BNODE_z uri_ex_c)) % 3.73/3.90 True % 3.73/3.90 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 3.73/3.90 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 3.73/3.90 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) % 3.73/3.90 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) % 3.73/3.90 Clause #8 (by clausification #[2]): Eq (Exists fun BNODE_x => And (iext uri_ex_p uri_ex_s BNODE_x) (iext uri_rdf_type BNODE_x uri_ex_c)) False % 3.73/3.90 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (And (iext uri_ex_p uri_ex_s a) (iext uri_rdf_type a uri_ex_c)) False % 3.73/3.90 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (iext uri_ex_p uri_ex_s a) False) (Eq (iext uri_rdf_type a uri_ex_c) False) % 3.73/3.90 Clause #11 (by clausification #[1]): ∀ (a : Iota), % 3.73/3.90 Eq % 3.73/3.90 (∀ (P C : Iota), % 3.73/3.90 And (iext uri_owl_someValuesFrom a C) (iext uri_owl_onProperty a P) → % 3.73/3.90 ∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext P X Y) (icext C Y))) % 3.73/3.90 True % 3.73/3.90 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), % 3.73/3.90 Eq % 3.73/3.90 (∀ (C : Iota), % 3.73/3.90 And (iext uri_owl_someValuesFrom a C) (iext uri_owl_onProperty a a_1) → % 3.73/3.90 ∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_1 X Y) (icext C Y))) % 3.73/3.90 True % 3.73/3.90 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), % 3.73/3.90 Eq % 3.73/3.90 (And (iext uri_owl_someValuesFrom a a_1) (iext uri_owl_onProperty a a_2) → % 3.73/3.90 ∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_2 X Y) (icext a_1 Y))) % 3.73/3.90 True % 3.73/3.90 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota), % 3.73/3.90 Or (Eq (And (iext uri_owl_someValuesFrom a a_1) (iext uri_owl_onProperty a a_2)) False) % 3.73/3.90 (Eq (∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_2 X Y) (icext a_1 Y))) True) % 3.73/3.90 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), % 3.73/3.90 Or (Eq (∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_1 X Y) (icext a_2 Y))) True) % 3.73/3.90 (Or (Eq (iext uri_owl_someValuesFrom a a_2) False) (Eq (iext uri_owl_onProperty a a_1) False)) % 3.73/3.90 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.90 Or (Eq (iext uri_owl_someValuesFrom a a_1) False) % 3.73/3.90 (Or (Eq (iext uri_owl_onProperty a a_2) False) % 3.73/3.90 (Eq (Iff (icext a a_3) (Exists fun Y => And (iext a_2 a_3 Y) (icext a_1 Y))) True)) % 3.73/3.90 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.90 Or (Eq (iext uri_owl_someValuesFrom a a_1) False) % 3.73/3.90 (Or (Eq (iext uri_owl_onProperty a a_2) False) % 3.73/3.90 (Or (Eq (icext a a_3) False) (Eq (Exists fun Y => And (iext a_2 a_3 Y) (icext a_1 Y)) True))) % 3.73/3.90 Clause #21 (by clausification #[18]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.73/3.90 Or (Eq (iext uri_owl_someValuesFrom a a_1) False) % 3.73/3.90 (Or (Eq (iext uri_owl_onProperty a a_2) False) % 3.73/3.90 (Or (Eq (icext a a_3) False) % 3.73/3.90 (Eq (And (iext a_2 a_3 (skS.0 0 a_2 a_3 a_1 a_4)) (icext a_1 (skS.0 0 a_2 a_3 a_1 a_4))) True))) % 3.73/3.90 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.73/3.90 Or (Eq (iext uri_owl_someValuesFrom a a_1) False) % 3.73/3.90 (Or (Eq (iext uri_owl_onProperty a a_2) False) % 3.73/3.92 (Or (Eq (icext a a_3) False) (Eq (icext a_1 (skS.0 0 a_2 a_3 a_1 a_4)) True))) % 3.73/3.92 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.73/3.92 Or (Eq (iext uri_owl_someValuesFrom a a_1) False) % 3.73/3.92 (Or (Eq (iext uri_owl_onProperty a a_2) False) % 3.73/3.92 (Or (Eq (icext a a_3) False) (Eq (iext a_2 a_3 (skS.0 0 a_2 a_3 a_1 a_4)) True))) % 3.73/3.92 Clause #24 (by clausification #[3]): ∀ (a : Iota), % 3.73/3.92 Eq % 3.73/3.92 (And % 3.73/3.92 (And % 3.73/3.92 (And % 3.73/3.92 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class)) % 3.73/3.92 (iext uri_rdf_type uri_ex_s (skS.0 1 a))) % 3.73/3.92 (iext uri_rdf_type (skS.0 1 a) uri_owl_Restriction)) % 3.73/3.92 (iext uri_owl_onProperty (skS.0 1 a) uri_ex_p)) % 3.73/3.92 (iext uri_owl_someValuesFrom (skS.0 1 a) uri_ex_c)) % 3.73/3.92 True % 3.73/3.92 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (iext uri_owl_someValuesFrom (skS.0 1 a) uri_ex_c) True % 3.73/3.92 Clause #26 (by clausification #[24]): ∀ (a : Iota), % 3.73/3.92 Eq % 3.73/3.92 (And % 3.73/3.92 (And % 3.73/3.92 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class)) % 3.73/3.92 (iext uri_rdf_type uri_ex_s (skS.0 1 a))) % 3.73/3.92 (iext uri_rdf_type (skS.0 1 a) uri_owl_Restriction)) % 3.73/3.92 (iext uri_owl_onProperty (skS.0 1 a) uri_ex_p)) % 3.73/3.92 True % 3.73/3.92 Clause #28 (by superposition #[25, 22]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.92 Or (Eq True False) % 3.73/3.92 (Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False) % 3.73/3.92 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (icext uri_ex_c (skS.0 0 a_1 a_2 uri_ex_c a_3)) True))) % 3.73/3.92 Clause #29 (by superposition #[23, 25]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.92 Or (Eq True False) % 3.73/3.92 (Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False) % 3.73/3.92 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 0 a_1 a_2 uri_ex_c a_3)) True))) % 3.73/3.92 Clause #31 (by clausification #[28]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.92 Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False) % 3.73/3.92 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (icext uri_ex_c (skS.0 0 a_1 a_2 uri_ex_c a_3)) True)) % 3.73/3.92 Clause #32 (by clausification #[29]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.92 Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False) % 3.73/3.92 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 0 a_1 a_2 uri_ex_c a_3)) True)) % 3.73/3.92 Clause #33 (by clausification #[26]): ∀ (a : Iota), Eq (iext uri_owl_onProperty (skS.0 1 a) uri_ex_p) True % 3.73/3.92 Clause #34 (by clausification #[26]): ∀ (a : Iota), % 3.73/3.92 Eq % 3.73/3.92 (And % 3.73/3.92 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class)) % 3.73/3.92 (iext uri_rdf_type uri_ex_s (skS.0 1 a))) % 3.73/3.92 (iext uri_rdf_type (skS.0 1 a) uri_owl_Restriction)) % 3.73/3.92 True % 3.73/3.92 Clause #36 (by superposition #[33, 31]): ∀ (a a_1 a_2 : Iota), % 3.73/3.92 Or (Eq True False) % 3.73/3.92 (Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (icext uri_ex_c (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True)) % 3.73/3.92 Clause #37 (by superposition #[33, 32]): ∀ (a a_1 a_2 : Iota), % 3.73/3.92 Or (Eq True False) % 3.73/3.92 (Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (iext uri_ex_p a_1 (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True)) % 3.73/3.92 Clause #39 (by clausification #[34]): ∀ (a : Iota), % 3.73/3.92 Eq % 3.73/3.92 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class)) % 3.73/3.92 (iext uri_rdf_type uri_ex_s (skS.0 1 a))) % 3.73/3.92 True % 3.73/3.92 Clause #43 (by clausification #[39]): ∀ (a : Iota), Eq (iext uri_rdf_type uri_ex_s (skS.0 1 a)) True % 3.73/3.92 Clause #45 (by superposition #[43, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (icext (skS.0 1 a) uri_ex_s) True) % 3.73/3.92 Clause #55 (by clausification #[45]): ∀ (a : Iota), Eq (icext (skS.0 1 a) uri_ex_s) True % 3.73/3.92 Clause #57 (by clausification #[36]): ∀ (a a_1 a_2 : Iota), % 3.73/3.92 Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (icext uri_ex_c (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True) % 3.73/3.92 Clause #58 (by superposition #[57, 55]): ∀ (a : Iota), Or (Eq (icext uri_ex_c (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True) (Eq False True) % 3.73/3.92 Clause #59 (by clausification #[58]): ∀ (a : Iota), Eq (icext uri_ex_c (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True % 3.73/3.92 Clause #60 (by superposition #[59, 6]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) True) (Eq True False) % 3.73/3.93 Clause #61 (by clausification #[60]): ∀ (a : Iota), Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) True % 3.73/3.93 Clause #63 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), % 3.73/3.93 Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (iext uri_ex_p a_1 (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True) % 3.73/3.93 Clause #64 (by superposition #[63, 55]): ∀ (a : Iota), Or (Eq (iext uri_ex_p uri_ex_s (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True) (Eq False True) % 3.73/3.93 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (iext uri_ex_p uri_ex_s (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True % 3.73/3.93 Clause #66 (by superposition #[65, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) False) % 3.73/3.93 Clause #68 (by clausification #[66]): ∀ (a : Iota), Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) False % 3.73/3.93 Clause #69 (by superposition #[68, 61]): Eq False True % 3.73/3.93 Clause #70 (by clausification #[69]): False % 3.73/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------