%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB024+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:03:27 PM UTC 2025 % Result : Theorem 3.69s 3.89s % Output : Proof 3.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWB024+2 : TPTP v9.2.0. Released v5.2.0. % 0.03/0.13 % Command : duper %s % 0.12/0.34 % Computer : n010.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 11:53:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.69/3.89 SZS status Theorem for theBenchmark.p % 3.69/3.89 SZS output start Proof for theBenchmark.p % 3.69/3.89 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 3.69/3.89 Clause #1 (by assumption #[]): Eq % 3.69/3.89 (∀ (Z P : Iota), % 3.69/3.89 And (iext uri_owl_minCardinality Z (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) % 3.69/3.89 (iext uri_owl_onProperty Z P) → % 3.69/3.89 ∀ (X : Iota), Iff (icext Z X) (Exists fun Y => iext P X Y)) % 3.69/3.89 True % 3.69/3.89 Clause #2 (by assumption #[]): Eq % 3.69/3.89 (∀ (C1 C2 : Iota), % 3.69/3.89 Iff (iext uri_rdfs_subClassOf C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), icext C1 X → icext C2 X))) % 3.69/3.89 True % 3.69/3.89 Clause #3 (by assumption #[]): Eq % 3.69/3.89 (∀ (P : Iota), % 3.69/3.89 Iff (icext uri_owl_TransitiveProperty P) % 3.69/3.89 (And (ip P) (∀ (X Y Z : Iota), And (iext P X Y) (iext P Y Z) → iext P X Z))) % 3.69/3.89 True % 3.69/3.89 Clause #4 (by assumption #[]): Eq % 3.69/3.89 (Not % 3.69/3.89 (Exists fun BNODE_x => % 3.69/3.89 And (iext uri_ex_hasAncestor uri_ex_bob BNODE_x) (iext uri_ex_hasAncestor uri_ex_alice BNODE_x))) % 3.69/3.89 True % 3.69/3.89 Clause #5 (by assumption #[]): Eq % 3.69/3.89 (Exists fun BNODE_z => % 3.69/3.89 And % 3.69/3.89 (And % 3.69/3.89 (And % 3.69/3.89 (And % 3.69/3.89 (And % 3.69/3.89 (And % 3.69/3.89 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.89 (iext uri_rdfs_subClassOf uri_ex_Person BNODE_z)) % 3.69/3.89 (iext uri_rdf_type BNODE_z uri_owl_Restriction)) % 3.69/3.89 (iext uri_owl_onProperty BNODE_z uri_ex_hasAncestor)) % 3.69/3.89 (iext uri_owl_minCardinality BNODE_z (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))) % 3.69/3.89 (iext uri_rdf_type uri_ex_alice uri_ex_Person)) % 3.69/3.89 (iext uri_rdf_type uri_ex_bob uri_ex_Person)) % 3.69/3.89 (iext uri_ex_hasAncestor uri_ex_alice uri_ex_bob)) % 3.69/3.89 True % 3.69/3.89 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 3.69/3.89 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 3.69/3.89 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True) % 3.69/3.89 Clause #10 (by clausification #[4]): Eq % 3.69/3.89 (Exists fun BNODE_x => % 3.69/3.89 And (iext uri_ex_hasAncestor uri_ex_bob BNODE_x) (iext uri_ex_hasAncestor uri_ex_alice BNODE_x)) % 3.69/3.89 False % 3.69/3.89 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (And (iext uri_ex_hasAncestor uri_ex_bob a) (iext uri_ex_hasAncestor uri_ex_alice a)) False % 3.69/3.89 Clause #12 (by clausification #[11]): ∀ (a : Iota), Or (Eq (iext uri_ex_hasAncestor uri_ex_bob a) False) (Eq (iext uri_ex_hasAncestor uri_ex_alice a) False) % 3.69/3.89 Clause #13 (by betaEtaReduce #[1]): Eq % 3.69/3.89 (∀ (Z P : Iota), % 3.69/3.89 And (iext uri_owl_minCardinality Z (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) % 3.69/3.89 (iext uri_owl_onProperty Z P) → % 3.69/3.89 ∀ (X : Iota), Iff (icext Z X) (Exists (iext P X))) % 3.69/3.89 True % 3.69/3.89 Clause #14 (by clausification #[13]): ∀ (a : Iota), % 3.69/3.89 Eq % 3.69/3.89 (∀ (P : Iota), % 3.69/3.89 And (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) % 3.69/3.89 (iext uri_owl_onProperty a P) → % 3.69/3.89 ∀ (X : Iota), Iff (icext a X) (Exists (iext P X))) % 3.69/3.89 True % 3.69/3.89 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), % 3.69/3.89 Eq % 3.69/3.89 (And (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) % 3.69/3.89 (iext uri_owl_onProperty a a_1) → % 3.69/3.89 ∀ (X : Iota), Iff (icext a X) (Exists (iext a_1 X))) % 3.69/3.89 True % 3.69/3.89 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), % 3.69/3.89 Or % 3.69/3.89 (Eq % 3.69/3.89 (And (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) % 3.69/3.89 (iext uri_owl_onProperty a a_1)) % 3.69/3.89 False) % 3.69/3.89 (Eq (∀ (X : Iota), Iff (icext a X) (Exists (iext a_1 X))) True) % 3.69/3.89 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), % 3.69/3.89 Or (Eq (∀ (X : Iota), Iff (icext a X) (Exists (iext a_1 X))) True) % 3.69/3.89 (Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False) % 3.69/3.89 (Eq (iext uri_owl_onProperty a a_1) False)) % 3.69/3.89 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), % 3.69/3.89 Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False) % 3.69/3.89 (Or (Eq (iext uri_owl_onProperty a a_1) False) (Eq (Iff (icext a a_2) (Exists (iext a_1 a_2))) True)) % 3.69/3.91 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), % 3.69/3.91 Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False) % 3.69/3.91 (Or (Eq (iext uri_owl_onProperty a a_1) False) (Or (Eq (icext a a_2) False) (Eq (Exists (iext a_1 a_2)) True))) % 3.69/3.91 Clause #22 (by clausification #[3]): ∀ (a : Iota), % 3.69/3.91 Eq % 3.69/3.91 (Iff (icext uri_owl_TransitiveProperty a) % 3.69/3.91 (And (ip a) (∀ (X Y Z : Iota), And (iext a X Y) (iext a Y Z) → iext a X Z))) % 3.69/3.91 True % 3.69/3.91 Clause #24 (by clausification #[22]): ∀ (a : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) % 3.69/3.91 (Eq (And (ip a) (∀ (X Y Z : Iota), And (iext a X Y) (iext a Y Z) → iext a X Z)) True) % 3.69/3.91 Clause #36 (by clausification #[2]): ∀ (a : Iota), % 3.69/3.91 Eq % 3.69/3.91 (∀ (C2 : Iota), % 3.69/3.91 Iff (iext uri_rdfs_subClassOf a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), icext a X → icext C2 X))) % 3.69/3.91 True % 3.69/3.91 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), % 3.69/3.91 Eq (Iff (iext uri_rdfs_subClassOf a a_1) (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X))) True % 3.69/3.91 Clause #39 (by clausification #[37]): ∀ (a a_1 : Iota), % 3.69/3.91 Or (Eq (iext uri_rdfs_subClassOf a a_1) False) % 3.69/3.91 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X)) True) % 3.69/3.91 Clause #46 (by clausification #[24]): ∀ (a : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) % 3.69/3.91 (Eq (∀ (X Y Z : Iota), And (iext a X Y) (iext a Y Z) → iext a X Z) True) % 3.69/3.91 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) % 3.69/3.91 (Eq (∀ (Y Z : Iota), And (iext a a_1 Y) (iext a Y Z) → iext a a_1 Z) True) % 3.69/3.91 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) % 3.69/3.91 (Eq (∀ (Z : Iota), And (iext a a_1 a_2) (iext a a_2 Z) → iext a a_1 Z) True) % 3.69/3.91 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) (Eq (And (iext a a_1 a_2) (iext a a_2 a_3) → iext a a_1 a_3) True) % 3.69/3.91 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 a_3 : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) % 3.69/3.91 (Or (Eq (And (iext a a_1 a_2) (iext a a_2 a_3)) False) (Eq (iext a a_1 a_3) True)) % 3.69/3.91 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota), % 3.69/3.91 Or (Eq (icext uri_owl_TransitiveProperty a) False) % 3.69/3.91 (Or (Eq (iext a a_1 a_2) True) (Or (Eq (iext a a_1 a_3) False) (Eq (iext a a_3 a_2) False))) % 3.69/3.91 Clause #53 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Eq (∀ (X : Iota), icext a X → icext a_1 X) True) % 3.69/3.91 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Eq (icext a a_2 → icext a_1 a_2) True) % 3.69/3.91 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), % 3.69/3.91 Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) True)) % 3.69/3.91 Clause #59 (by clausification #[5]): ∀ (a : Iota), % 3.69/3.91 Eq % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.91 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.91 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction)) % 3.69/3.91 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor)) % 3.69/3.91 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))) % 3.69/3.91 (iext uri_rdf_type uri_ex_alice uri_ex_Person)) % 3.69/3.91 (iext uri_rdf_type uri_ex_bob uri_ex_Person)) % 3.69/3.91 (iext uri_ex_hasAncestor uri_ex_alice uri_ex_bob)) % 3.69/3.91 True % 3.69/3.91 Clause #60 (by clausification #[59]): Eq (iext uri_ex_hasAncestor uri_ex_alice uri_ex_bob) True % 3.69/3.91 Clause #61 (by clausification #[59]): ∀ (a : Iota), % 3.69/3.91 Eq % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And % 3.69/3.91 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.91 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.92 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction)) % 3.69/3.92 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor)) % 3.69/3.92 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))) % 3.69/3.92 (iext uri_rdf_type uri_ex_alice uri_ex_Person)) % 3.69/3.92 (iext uri_rdf_type uri_ex_bob uri_ex_Person)) % 3.69/3.92 True % 3.69/3.92 Clause #62 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : Iota), % 3.69/3.92 Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False) % 3.69/3.92 (Or (Eq (iext uri_owl_onProperty a a_1) False) % 3.69/3.92 (Or (Eq (icext a a_2) False) (Eq (iext a_1 a_2 (skS.0 5 a_1 a_2 a_3)) True))) % 3.69/3.92 Clause #63 (by clausification #[61]): Eq (iext uri_rdf_type uri_ex_bob uri_ex_Person) True % 3.69/3.92 Clause #64 (by clausification #[61]): ∀ (a : Iota), % 3.69/3.92 Eq % 3.69/3.92 (And % 3.69/3.92 (And % 3.69/3.92 (And % 3.69/3.92 (And % 3.69/3.92 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.92 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.92 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction)) % 3.69/3.92 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor)) % 3.69/3.92 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))) % 3.69/3.92 (iext uri_rdf_type uri_ex_alice uri_ex_Person)) % 3.69/3.92 True % 3.69/3.92 Clause #65 (by superposition #[63, 9]): Or (Eq True False) (Eq (icext uri_ex_Person uri_ex_bob) True) % 3.69/3.92 Clause #67 (by clausification #[64]): ∀ (a : Iota), % 3.69/3.92 Eq % 3.69/3.92 (And % 3.69/3.92 (And % 3.69/3.92 (And % 3.69/3.92 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.92 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.92 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction)) % 3.69/3.92 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor)) % 3.69/3.92 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))) % 3.69/3.92 True % 3.69/3.92 Clause #71 (by clausification #[65]): Eq (icext uri_ex_Person uri_ex_bob) True % 3.69/3.92 Clause #73 (by clausification #[67]): ∀ (a : Iota), Eq (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) True % 3.69/3.92 Clause #74 (by clausification #[67]): ∀ (a : Iota), % 3.69/3.92 Eq % 3.69/3.92 (And % 3.69/3.92 (And % 3.69/3.92 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.92 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.92 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction)) % 3.69/3.92 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor)) % 3.69/3.92 True % 3.69/3.92 Clause #76 (by superposition #[73, 62]): ∀ (a a_1 a_2 a_3 : Iota), % 3.69/3.92 Or (Eq True False) % 3.69/3.92 (Or (Eq (iext uri_owl_onProperty (skS.0 4 a) a_1) False) % 3.69/3.92 (Or (Eq (icext (skS.0 4 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 5 a_1 a_2 a_3)) True))) % 3.69/3.92 Clause #77 (by clausification #[74]): ∀ (a : Iota), Eq (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor) True % 3.69/3.92 Clause #78 (by clausification #[74]): ∀ (a : Iota), % 3.69/3.92 Eq % 3.69/3.92 (And % 3.69/3.92 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.92 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.92 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction)) % 3.69/3.92 True % 3.69/3.92 Clause #80 (by clausification #[78]): ∀ (a : Iota), % 3.69/3.92 Eq % 3.69/3.92 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) % 3.69/3.92 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a))) % 3.69/3.92 True % 3.69/3.92 Clause #84 (by clausification #[80]): ∀ (a : Iota), Eq (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)) True % 3.69/3.92 Clause #85 (by clausification #[80]): Eq (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) True % 3.69/3.92 Clause #86 (by superposition #[84, 56]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_ex_Person a) False) (Eq (icext (skS.0 4 a_1) a) True)) % 3.69/3.92 Clause #94 (by superposition #[85, 9]): Or (Eq True False) (Eq (icext uri_owl_TransitiveProperty uri_ex_hasAncestor) True) % 3.69/3.92 Clause #95 (by clausification #[94]): Eq (icext uri_owl_TransitiveProperty uri_ex_hasAncestor) True % 3.69/3.92 Clause #96 (by superposition #[95, 52]): ∀ (a a_1 a_2 : Iota), % 3.69/3.92 Or (Eq True False) % 3.69/3.92 (Or (Eq (iext uri_ex_hasAncestor a a_1) True) % 3.77/3.94 (Or (Eq (iext uri_ex_hasAncestor a a_2) False) (Eq (iext uri_ex_hasAncestor a_2 a_1) False))) % 3.77/3.94 Clause #106 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota), % 3.77/3.94 Or (Eq (iext uri_owl_onProperty (skS.0 4 a) a_1) False) % 3.77/3.94 (Or (Eq (icext (skS.0 4 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 5 a_1 a_2 a_3)) True)) % 3.77/3.94 Clause #107 (by superposition #[106, 77]): ∀ (a a_1 a_2 : Iota), % 3.77/3.94 Or (Eq (icext (skS.0 4 a) a_1) False) % 3.77/3.94 (Or (Eq (iext uri_ex_hasAncestor a_1 (skS.0 5 uri_ex_hasAncestor a_1 a_2)) True) (Eq False True)) % 3.77/3.94 Clause #108 (by clausification #[86]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_Person a) False) (Eq (icext (skS.0 4 a_1) a) True) % 3.77/3.94 Clause #110 (by superposition #[108, 71]): ∀ (a : Iota), Or (Eq (icext (skS.0 4 a) uri_ex_bob) True) (Eq False True) % 3.77/3.94 Clause #111 (by clausification #[110]): ∀ (a : Iota), Eq (icext (skS.0 4 a) uri_ex_bob) True % 3.77/3.94 Clause #123 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), % 3.77/3.94 Or (Eq (iext uri_ex_hasAncestor a a_1) True) % 3.77/3.94 (Or (Eq (iext uri_ex_hasAncestor a a_2) False) (Eq (iext uri_ex_hasAncestor a_2 a_1) False)) % 3.77/3.94 Clause #124 (by superposition #[123, 60]): ∀ (a : Iota), % 3.77/3.94 Or (Eq (iext uri_ex_hasAncestor uri_ex_alice a) True) % 3.77/3.94 (Or (Eq (iext uri_ex_hasAncestor uri_ex_bob a) False) (Eq False True)) % 3.77/3.94 Clause #125 (by clausification #[124]): ∀ (a : Iota), Or (Eq (iext uri_ex_hasAncestor uri_ex_alice a) True) (Eq (iext uri_ex_hasAncestor uri_ex_bob a) False) % 3.77/3.94 Clause #144 (by clausification #[107]): ∀ (a a_1 a_2 : Iota), % 3.77/3.94 Or (Eq (icext (skS.0 4 a) a_1) False) (Eq (iext uri_ex_hasAncestor a_1 (skS.0 5 uri_ex_hasAncestor a_1 a_2)) True) % 3.77/3.94 Clause #145 (by superposition #[144, 111]): ∀ (a : Iota), % 3.77/3.94 Or (Eq (iext uri_ex_hasAncestor uri_ex_bob (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True) (Eq False True) % 3.77/3.94 Clause #152 (by clausification #[145]): ∀ (a : Iota), Eq (iext uri_ex_hasAncestor uri_ex_bob (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True % 3.77/3.94 Clause #153 (by superposition #[152, 12]): ∀ (a : Iota), % 3.77/3.94 Or (Eq True False) (Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) False) % 3.77/3.94 Clause #154 (by superposition #[152, 125]): ∀ (a : Iota), % 3.77/3.94 Or (Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True) (Eq True False) % 3.77/3.94 Clause #157 (by clausification #[154]): ∀ (a : Iota), Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True % 3.77/3.94 Clause #159 (by clausification #[153]): ∀ (a : Iota), Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) False % 3.77/3.94 Clause #160 (by superposition #[159, 157]): Eq False True % 3.77/3.94 Clause #161 (by clausification #[160]): False % 3.77/3.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------