0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.12/0.38	% Computer : n026.cluster.edu
0.12/0.38	% Model    : x86_64 x86_64
0.12/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.38	% Memory   : 8046.5625MB
0.12/0.38	% OS       : Linux 6.8.0-71-generic
0.12/0.38	% CPULimit : 1440
0.12/0.38	% WCLimit  : 180
0.12/0.38	% DateTime : Mon Jul 27 10:29:04 UTC 2026
0.12/0.38	% CPUTime  : 
0.12/0.38	Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.12/0.42	/export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found.
0.12/0.43	Running first-order theorem proving
0.12/0.43	Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.12/0.45	
0.12/0.45	% ======== iProver multi-core TPTP/SMT =========
0.12/0.45	
0.12/0.45	% Detected problem language: tptp
0.12/0.48	% Proving...
81.53/15.14	% SZS status Started for theBenchmark.p
81.53/15.14	% SZS status Theorem for theBenchmark.p
81.53/15.14	
81.53/15.14	%---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
81.53/15.14	
81.53/15.14	% ------  iProver source info
81.53/15.14	
81.53/15.14	% git: date: 2026-07-19 20:42:38 +0200
81.53/15.14	% git: sha1: 804e7d636a263075307957e923b7a22a4035de61
81.53/15.14	% git: non_committed_changes: false
81.53/15.14	
81.53/15.14	% ------ Parsing...
81.53/15.14	% ------ Clausification by vclausify_rel  & Parsing by iProver...% 
81.53/15.14	
81.53/15.14	% ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
81.53/15.14	
81.53/15.14	% ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
81.53/15.14	
81.53/15.14	% ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
81.53/15.14	% ------ Proving...
81.53/15.14	% ------ Problem Properties 
81.53/15.14	
81.53/15.14	% 
81.53/15.14	% clauses                               55
81.53/15.14	% conjectures                           1
81.53/15.14	% EPR                                   43
81.53/15.14	% Horn                                  49
81.53/15.14	% unary                                 21
81.53/15.14	% binary                                13
81.53/15.14	% lits                                  140
81.53/15.14	% lits eq                               1
81.53/15.14	% fd_pure                               0
81.53/15.14	% fd_pseudo                             0
81.53/15.14	% fd_cond                               0
81.53/15.14	% fd_pseudo_cond                        1
81.53/15.14	% AC symbols                            0
81.53/15.14	
81.53/15.14	% ------ Input Options Time Limit: Unbounded
81.53/15.14	
81.53/15.14	
81.53/15.14	% ------ 
81.53/15.14	% Current options:
81.53/15.14	% ------ 
81.53/15.14	
81.53/15.14	
81.53/15.14	% 
81.53/15.14	
81.53/15.14	% ------ Proving...
81.53/15.14	% 
81.53/15.14	
81.53/15.14	% SZS status Theorem for theBenchmark.p
81.53/15.14	
81.53/15.14	% SZS output start CNFRefutation for theBenchmark.p
81.53/15.14	
81.53/15.14	fof(f1,axiom,(
81.53/15.14	  ! [X0,X1] : (iext(uri_owl_inverseOf,X0,X1) <=> (ip(X0) & ip(X1) & ! [X2,X3] : (iext(X1,X3,X2) <=> iext(X0,X2,X3))))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv)).
81.53/15.14	
81.53/15.14	fof(f2,axiom,(
81.53/15.14	  ! [X0,X1,X2] : ((iext(uri_owl_someValuesFrom,X0,X2) & iext(uri_owl_onProperty,X0,X1)) => ! [X3] : (? [X4] : (iext(X1,X3,X4) & icext(X2,X4)) <=> icext(X0,X3)))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom)).
81.53/15.14	
81.53/15.14	fof(f3,axiom,(
81.53/15.14	  ! [X0,X1] : (iext(uri_owl_sameAs,X0,X1) <=> X1 = X0)),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas)).
81.53/15.14	
81.53/15.14	fof(f4,axiom,(
81.53/15.14	  ! [X0,X1] : (icext(X1,X0) <=> iext(uri_rdf_type,X0,X1))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def)).
81.53/15.14	
81.53/15.14	fof(f5,axiom,(
81.53/15.14	  ? [X0,X1,X2,X3,X4] : (iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdf_rest,X2,X3) & iext(uri_rdf_first,X4,X1) & iext(uri_owl_inverseOf,X1,uri_rdf_type) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_rest,X4,uri_rdf_nil) & iext(uri_rdf_rest,X3,X4) & iext(uri_rdf_first,X3,uri_ex_sameCliqueAs) & iext(uri_rdf_first,X2,uri_rdf_type) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X2) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_someValuesFrom,X0,uri_ex_Clique) & iext(uri_owl_onProperty,X0,uri_ex_sameCliqueAs) & iext(uri_rdf_type,X0,uri_owl_Restriction) & iext(uri_rdfs_subClassOf,uri_ex_Clique,X0))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques)).
81.53/15.14	
81.53/15.14	fof(f6,conjecture,(
81.53/15.14	  iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques)).
81.53/15.14	
81.53/15.14	fof(f7,negated_conjecture,(
81.53/15.14	  ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	  inference(negated_conjecture,[status(cth)],[f6])).
81.53/15.14	
81.53/15.14	fof(f8,axiom,(
81.53/15.14	  ! [X0,X1,X2,X3,X4,X5,X6] : ((iext(uri_rdf_rest,X3,X5) & iext(uri_rdf_rest,X5,uri_rdf_nil) & iext(uri_rdf_first,X5,X6) & iext(uri_rdf_first,X3,X4) & iext(uri_rdf_rest,X1,X3) & iext(uri_rdf_first,X1,X2)) => ((ip(X0) & ip(X2) & ip(X4) & ip(X6) & ! [X7,X8,X9,X10] : ((iext(X6,X9,X10) & iext(X4,X8,X9) & iext(X2,X7,X8)) => iext(X0,X7,X10))) <=> iext(uri_owl_propertyChainAxiom,X0,X1)))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003)).
81.53/15.14	
81.53/15.14	fof(f9,axiom,(
81.53/15.14	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> (ip(X1) & ! [X2,X3] : (iext(X0,X2,X3) => iext(X1,X2,X3)) & ip(X0)))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof)).
81.53/15.14	
81.53/15.14	fof(f10,axiom,(
81.53/15.14	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> (ic(X1) & ! [X2] : (icext(X0,X2) => icext(X1,X2)) & ic(X0)))),
81.53/15.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof)).
81.53/15.14	
81.53/15.14	fof(f11,plain,(
81.53/15.14	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	  inference(flattening,[],[f7])).
81.53/15.14	
81.53/15.14	fof(f12,plain,(
81.53/15.14	  ! [X0,X1,X2] : (! [X3] : (? [X4] : (iext(X1,X3,X4) & icext(X2,X4)) <=> icext(X0,X3)) | (~iext(uri_owl_someValuesFrom,X0,X2) | ~iext(uri_owl_onProperty,X0,X1)))),
81.53/15.14	  inference(ennf_transformation,[],[f2])).
81.53/15.14	
81.53/15.14	fof(f13,plain,(
81.53/15.14	  ! [X0,X1,X2] : (! [X3] : (? [X4] : (iext(X1,X3,X4) & icext(X2,X4)) <=> icext(X0,X3)) | ~iext(uri_owl_someValuesFrom,X0,X2) | ~iext(uri_owl_onProperty,X0,X1))),
81.53/15.14	  inference(flattening,[],[f12])).
81.53/15.14	
81.53/15.14	fof(f14,plain,(
81.53/15.14	  ! [X0,X1,X2,X3,X4,X5,X6] : (((ip(X0) & ip(X2) & ip(X4) & ip(X6) & ! [X7,X8,X9,X10] : (iext(X0,X7,X10) | (~iext(X6,X9,X10) | ~iext(X4,X8,X9) | ~iext(X2,X7,X8)))) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | (~iext(uri_rdf_rest,X3,X5) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2)))),
81.53/15.14	  inference(ennf_transformation,[],[f8])).
81.53/15.14	
81.53/15.14	fof(f15,plain,(
81.53/15.14	  ! [X0,X1,X2,X3,X4,X5,X6] : (((ip(X0) & ip(X2) & ip(X4) & ip(X6) & ! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X6,X9,X10) | ~iext(X4,X8,X9) | ~iext(X2,X7,X8))) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | ~iext(uri_rdf_rest,X3,X5) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))),
81.53/15.14	  inference(flattening,[],[f14])).
81.53/15.14	
81.53/15.14	fof(f16,plain,(
81.53/15.14	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> (ip(X1) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X0)))),
81.53/15.14	  inference(ennf_transformation,[],[f9])).
81.53/15.14	
81.53/15.14	fof(f17,plain,(
81.53/15.14	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> (ic(X1) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X0)))),
81.53/15.14	  inference(ennf_transformation,[],[f10])).
81.53/15.14	
81.53/15.14	fof(f21,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_owl_inverseOf,X0,X1) | (~ip(X0) | ~ip(X1) | ? [X2,X3] : ((~iext(X0,X2,X3) | ~iext(X1,X3,X2)) & (iext(X0,X2,X3) | iext(X1,X3,X2))))) & ((ip(X0) & ip(X1) & ! [X2,X3] : ((iext(X1,X3,X2) | ~iext(X0,X2,X3)) & (iext(X0,X2,X3) | ~iext(X1,X3,X2)))) | ~iext(uri_owl_inverseOf,X0,X1)))),
81.53/15.14	  inference(nnf_transformation,[],[f1])).
81.53/15.14	
81.53/15.14	fof(f22,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_owl_inverseOf,X0,X1) | ~ip(X0) | ~ip(X1) | ? [X2,X3] : ((~iext(X0,X2,X3) | ~iext(X1,X3,X2)) & (iext(X0,X2,X3) | iext(X1,X3,X2)))) & ((ip(X0) & ip(X1) & ! [X2,X3] : ((iext(X1,X3,X2) | ~iext(X0,X2,X3)) & (iext(X0,X2,X3) | ~iext(X1,X3,X2)))) | ~iext(uri_owl_inverseOf,X0,X1)))),
81.53/15.14	  inference(flattening,[],[f21])).
81.53/15.14	
81.53/15.14	fof(f23,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_owl_inverseOf,X0,X1) | ~ip(X0) | ~ip(X1) | ? [X2,X3] : ((~iext(X0,X2,X3) | ~iext(X1,X3,X2)) & (iext(X0,X2,X3) | iext(X1,X3,X2)))) & ((ip(X0) & ip(X1) & ! [X4,X5] : ((iext(X1,X5,X4) | ~iext(X0,X4,X5)) & (iext(X0,X4,X5) | ~iext(X1,X5,X4)))) | ~iext(uri_owl_inverseOf,X0,X1)))),
81.53/15.14	  inference(rectify,[],[f22])).
81.53/15.14	
81.53/15.14	fof(f24,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_owl_inverseOf,X0,X1) | ~ip(X0) | ~ip(X1) | ((~iext(X0,sK2(X0,X1),sK3(X0,X1)) | ~iext(X1,sK3(X0,X1),sK2(X0,X1))) & (iext(X0,sK2(X0,X1),sK3(X0,X1)) | iext(X1,sK3(X0,X1),sK2(X0,X1))))) & ((ip(X0) & ip(X1) & ! [X4,X5] : ((iext(X1,X5,X4) | ~iext(X0,X4,X5)) & (iext(X0,X4,X5) | ~iext(X1,X5,X4)))) | ~iext(uri_owl_inverseOf,X0,X1)))),
81.53/15.14	  inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f23])).
81.53/15.14	
81.53/15.14	fof(f25,plain,(
81.53/15.14	  ! [X0,X1,X2] : (! [X3] : ((? [X4] : (iext(X1,X3,X4) & icext(X2,X4)) | ~icext(X0,X3)) & (icext(X0,X3) | ! [X4] : (~iext(X1,X3,X4) | ~icext(X2,X4)))) | ~iext(uri_owl_someValuesFrom,X0,X2) | ~iext(uri_owl_onProperty,X0,X1))),
81.53/15.14	  inference(nnf_transformation,[],[f13])).
81.53/15.14	
81.53/15.14	fof(f26,plain,(
81.53/15.14	  ! [X0,X1,X2] : (! [X3] : ((? [X4] : (iext(X1,X3,X4) & icext(X2,X4)) | ~icext(X0,X3)) & (icext(X0,X3) | ! [X5] : (~iext(X1,X3,X5) | ~icext(X2,X5)))) | ~iext(uri_owl_someValuesFrom,X0,X2) | ~iext(uri_owl_onProperty,X0,X1))),
81.53/15.14	  inference(rectify,[],[f25])).
81.53/15.14	
81.53/15.14	fof(f27,plain,(
81.53/15.14	  ! [X0,X1,X2] : (! [X3] : (((iext(X1,X3,sK4(X1,X2,X3)) & icext(X2,sK4(X1,X2,X3))) | ~icext(X0,X3)) & (icext(X0,X3) | ! [X5] : (~iext(X1,X3,X5) | ~icext(X2,X5)))) | ~iext(uri_owl_someValuesFrom,X0,X2) | ~iext(uri_owl_onProperty,X0,X1))),
81.53/15.14	  inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X1,X2,X3))],[f26])).
81.53/15.14	
81.53/15.14	fof(f28,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_owl_sameAs,X0,X1) | X0 != X1) & (X1 = X0 | ~iext(uri_owl_sameAs,X0,X1)))),
81.53/15.14	  inference(nnf_transformation,[],[f3])).
81.53/15.14	
81.53/15.14	fof(f29,plain,(
81.53/15.14	  ! [X0,X1] : ((icext(X1,X0) | ~iext(uri_rdf_type,X0,X1)) & (iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)))),
81.53/15.14	  inference(nnf_transformation,[],[f4])).
81.53/15.14	
81.53/15.14	fof(f30,plain,(
81.53/15.14	  iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdf_rest,sK7,sK8) & iext(uri_rdf_first,sK9,sK6) & iext(uri_owl_inverseOf,sK6,uri_rdf_type) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_rest,sK9,uri_rdf_nil) & iext(uri_rdf_rest,sK8,sK9) & iext(uri_rdf_first,sK8,uri_ex_sameCliqueAs) & iext(uri_rdf_first,sK7,uri_rdf_type) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK7) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_someValuesFrom,sK5,uri_ex_Clique) & iext(uri_owl_onProperty,sK5,uri_ex_sameCliqueAs) & iext(uri_rdf_type,sK5,uri_owl_Restriction) & iext(uri_rdfs_subClassOf,uri_ex_Clique,sK5)),
81.53/15.14	  inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9)],[f5])).
81.53/15.14	
81.53/15.14	fof(f31,plain,(
81.53/15.14	  ! [X1,X0,X6,X4,X2] : (((sP0(X0,X2,X4,X6) | ~iext(uri_owl_propertyChainAxiom,X0,X1)) & (iext(uri_owl_propertyChainAxiom,X0,X1) | ~sP0(X0,X2,X4,X6))) | ~sP1(X1,X0,X6,X4,X2))),
81.53/15.14	  inference(nnf_transformation,[],[f19])).
81.53/15.14	
81.53/15.14	fof(f32,plain,(
81.53/15.14	  ! [X0,X1,X2,X3,X4] : (((sP0(X1,X4,X3,X2) | ~iext(uri_owl_propertyChainAxiom,X1,X0)) & (iext(uri_owl_propertyChainAxiom,X1,X0) | ~sP0(X1,X4,X3,X2))) | ~sP1(X0,X1,X2,X3,X4))),
81.53/15.14	  inference(rectify,[],[f31])).
81.53/15.14	
81.53/15.14	fof(f37,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subPropertyOf,X0,X1) | (~ip(X1) | ? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) | ~ip(X0))) & ((ip(X1) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X0)) | ~iext(uri_rdfs_subPropertyOf,X0,X1)))),
81.53/15.14	  inference(nnf_transformation,[],[f16])).
81.53/15.14	
81.53/15.14	fof(f38,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subPropertyOf,X0,X1) | ~ip(X1) | ? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) | ~ip(X0)) & ((ip(X1) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X0)) | ~iext(uri_rdfs_subPropertyOf,X0,X1)))),
81.53/15.14	  inference(flattening,[],[f37])).
81.53/15.14	
81.53/15.14	fof(f39,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subPropertyOf,X0,X1) | ~ip(X1) | ? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) | ~ip(X0)) & ((ip(X1) & ! [X4,X5] : (iext(X1,X4,X5) | ~iext(X0,X4,X5)) & ip(X0)) | ~iext(uri_rdfs_subPropertyOf,X0,X1)))),
81.53/15.14	  inference(rectify,[],[f38])).
81.53/15.14	
81.53/15.14	fof(f40,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subPropertyOf,X0,X1) | ~ip(X1) | (~iext(X1,sK14(X0,X1),sK15(X0,X1)) & iext(X0,sK14(X0,X1),sK15(X0,X1))) | ~ip(X0)) & ((ip(X1) & ! [X4,X5] : (iext(X1,X4,X5) | ~iext(X0,X4,X5)) & ip(X0)) | ~iext(uri_rdfs_subPropertyOf,X0,X1)))),
81.53/15.14	  inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X2,sK14(X0,X1)),skolemize(X3,sK15(X0,X1))],[f39])).
81.53/15.14	
81.53/15.14	fof(f41,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subClassOf,X0,X1) | (~ic(X1) | ? [X2] : (~icext(X1,X2) & icext(X0,X2)) | ~ic(X0))) & ((ic(X1) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X0)) | ~iext(uri_rdfs_subClassOf,X0,X1)))),
81.53/15.14	  inference(nnf_transformation,[],[f17])).
81.53/15.14	
81.53/15.14	fof(f42,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subClassOf,X0,X1) | ~ic(X1) | ? [X2] : (~icext(X1,X2) & icext(X0,X2)) | ~ic(X0)) & ((ic(X1) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X0)) | ~iext(uri_rdfs_subClassOf,X0,X1)))),
81.53/15.14	  inference(flattening,[],[f41])).
81.53/15.14	
81.53/15.14	fof(f43,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subClassOf,X0,X1) | ~ic(X1) | ? [X2] : (~icext(X1,X2) & icext(X0,X2)) | ~ic(X0)) & ((ic(X1) & ! [X3] : (icext(X1,X3) | ~icext(X0,X3)) & ic(X0)) | ~iext(uri_rdfs_subClassOf,X0,X1)))),
81.53/15.14	  inference(rectify,[],[f42])).
81.53/15.14	
81.53/15.14	fof(f44,plain,(
81.53/15.14	  ! [X0,X1] : ((iext(uri_rdfs_subClassOf,X0,X1) | ~ic(X1) | (~icext(X1,sK16(X0,X1)) & icext(X0,sK16(X0,X1))) | ~ic(X0)) & ((ic(X1) & ! [X3] : (icext(X1,X3) | ~icext(X0,X3)) & ic(X0)) | ~iext(uri_rdfs_subClassOf,X0,X1)))),
81.53/15.14	  inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f43])).
81.53/15.14	
81.53/15.14	fof(f45,plain,(
81.53/15.14	  ( ! [X0,X1,X4,X5] : (iext(X0,X4,X5) | ~iext(X1,X5,X4) | ~iext(uri_owl_inverseOf,X0,X1)) )),
81.53/15.14	  inference(cnf_transformation,[],[f24])).
81.53/15.14	
81.53/15.14	fof(f53,plain,(
81.53/15.14	  ( ! [X2,X3,X0,X1] : (iext(X1,X3,sK4(X1,X2,X3)) | ~icext(X0,X3) | ~iext(uri_owl_someValuesFrom,X0,X2) | ~iext(uri_owl_onProperty,X0,X1)) )),
81.53/15.14	  inference(cnf_transformation,[],[f27])).
81.53/15.14	
81.53/15.14	fof(f54,plain,(
81.53/15.14	  ( ! [X0,X1] : (X0 = X1 | ~iext(uri_owl_sameAs,X0,X1)) )),
81.53/15.14	  inference(cnf_transformation,[],[f28])).
81.53/15.14	
81.53/15.14	fof(f57,plain,(
81.53/15.14	  ( ! [X0,X1] : (icext(X1,X0) | ~iext(uri_rdf_type,X0,X1)) )),
81.53/15.14	  inference(cnf_transformation,[],[f29])).
81.53/15.14	
81.53/15.14	fof(f58,plain,(
81.53/15.14	  iext(uri_rdfs_subClassOf,uri_ex_Clique,sK5)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f60,plain,(
81.53/15.14	  iext(uri_owl_onProperty,sK5,uri_ex_sameCliqueAs)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f61,plain,(
81.53/15.14	  iext(uri_owl_someValuesFrom,sK5,uri_ex_Clique)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f63,plain,(
81.53/15.14	  iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK7)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f64,plain,(
81.53/15.14	  iext(uri_rdf_first,sK7,uri_rdf_type)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f65,plain,(
81.53/15.14	  iext(uri_rdf_first,sK8,uri_ex_sameCliqueAs)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f66,plain,(
81.53/15.14	  iext(uri_rdf_rest,sK8,sK9)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f67,plain,(
81.53/15.14	  iext(uri_rdf_rest,sK9,uri_rdf_nil)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f68,plain,(
81.53/15.14	  iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f69,plain,(
81.53/15.14	  iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f70,plain,(
81.53/15.14	  iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f71,plain,(
81.53/15.14	  iext(uri_owl_inverseOf,sK6,uri_rdf_type)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f72,plain,(
81.53/15.14	  iext(uri_rdf_first,sK9,sK6)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f73,plain,(
81.53/15.14	  iext(uri_rdf_rest,sK7,sK8)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f75,plain,(
81.53/15.14	  iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
81.53/15.14	  inference(cnf_transformation,[],[f30])).
81.53/15.14	
81.53/15.14	fof(f77,plain,(
81.53/15.14	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	  inference(cnf_transformation,[],[f11])).
81.53/15.14	
81.53/15.14	fof(f79,plain,(
81.53/15.14	  ( ! [X2,X3,X0,X1,X4] : (sP0(X1,X4,X3,X2) | ~iext(uri_owl_propertyChainAxiom,X1,X0) | ~sP1(X0,X1,X2,X3,X4)) )),
81.53/15.14	  inference(cnf_transformation,[],[f32])).
81.53/15.14	
81.53/15.14	fof(f89,plain,(
81.53/15.14	  ( ! [X2,X3,X0,X1,X6,X4,X5] : (sP1(X1,X0,X6,X4,X2) | ~iext(uri_rdf_rest,X3,X5) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2)) )),
81.53/15.14	  inference(cnf_transformation,[],[f20])).
81.53/15.14	
81.53/15.14	fof(f91,plain,(
81.53/15.14	  ( ! [X0,X1,X4,X5] : (iext(X1,X4,X5) | ~iext(X0,X4,X5) | ~iext(uri_rdfs_subPropertyOf,X0,X1)) )),
81.53/15.14	  inference(cnf_transformation,[],[f40])).
81.53/15.14	
81.53/15.14	fof(f96,plain,(
81.53/15.14	  ( ! [X3,X0,X1] : (icext(X1,X3) | ~icext(X0,X3) | ~iext(uri_rdfs_subClassOf,X0,X1)) )),
81.53/15.14	  inference(cnf_transformation,[],[f44])).
81.53/15.14	
81.53/15.14	tcf(c_54,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
81.53/15.14	    (~iext(X0,X1,X2)|~iext(uri_owl_inverseOf,X3,X0)|iext(X3,X2,X1)),
81.53/15.14	    inference(cnf_transformation,[],[f45])).
81.53/15.14	
81.53/15.14	tcf(c_55,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
81.53/15.14	    (~iext(uri_owl_someValuesFrom,X0,X1)|~iext(uri_owl_onProperty,X0,X2)|
81.53/15.14	    ~icext(X0,X3)|iext(X2,X3,sK4(X2,X1,X3))),
81.53/15.14	    inference(cnf_transformation,[],[f53])).
81.53/15.14	
81.53/15.14	tcf(c_59,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~iext(uri_owl_sameAs,X0,X1)|X0 = X1),
81.53/15.14	    inference(cnf_transformation,[],[f54])).
81.53/15.14	
81.53/15.14	tcf(c_60,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~iext(uri_rdf_type,X0,X1)|icext(X1,X0)),
81.53/15.14	    inference(cnf_transformation,[],[f57])).
81.53/15.14	
81.53/15.14	tcf(c_63,plain, 
81.53/15.14	    (iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
81.53/15.14	    inference(cnf_transformation,[],[f75])).
81.53/15.14	
81.53/15.14	tcf(c_65,plain, 
81.53/15.14	    (iext(uri_rdf_rest,sK7,sK8)),
81.53/15.14	    inference(cnf_transformation,[],[f73])).
81.53/15.14	
81.53/15.14	tcf(c_66,plain, 
81.53/15.14	    (iext(uri_rdf_first,sK9,sK6)),
81.53/15.14	    inference(cnf_transformation,[],[f72])).
81.53/15.14	
81.53/15.14	tcf(c_67,plain, 
81.53/15.14	    (iext(uri_owl_inverseOf,sK6,uri_rdf_type)),
81.53/15.14	    inference(cnf_transformation,[],[f71])).
81.53/15.14	
81.53/15.14	tcf(c_68,plain, 
81.53/15.14	    (iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
81.53/15.14	    inference(cnf_transformation,[],[f70])).
81.53/15.14	
81.53/15.14	tcf(c_69,plain, 
81.53/15.14	    (iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
81.53/15.14	    inference(cnf_transformation,[],[f69])).
81.53/15.14	
81.53/15.14	tcf(c_70,plain, 
81.53/15.14	    (iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
81.53/15.14	    inference(cnf_transformation,[],[f68])).
81.53/15.14	
81.53/15.14	tcf(c_71,plain, 
81.53/15.14	    (iext(uri_rdf_rest,sK9,uri_rdf_nil)),
81.53/15.14	    inference(cnf_transformation,[],[f67])).
81.53/15.14	
81.53/15.14	tcf(c_72,plain, 
81.53/15.14	    (iext(uri_rdf_rest,sK8,sK9)),
81.53/15.14	    inference(cnf_transformation,[],[f66])).
81.53/15.14	
81.53/15.14	tcf(c_73,plain, 
81.53/15.14	    (iext(uri_rdf_first,sK8,uri_ex_sameCliqueAs)),
81.53/15.14	    inference(cnf_transformation,[],[f65])).
81.53/15.14	
81.53/15.14	tcf(c_74,plain, 
81.53/15.14	    (iext(uri_rdf_first,sK7,uri_rdf_type)),
81.53/15.14	    inference(cnf_transformation,[],[f64])).
81.53/15.14	
81.53/15.14	tcf(c_75,plain, 
81.53/15.14	    (iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK7)),
81.53/15.14	    inference(cnf_transformation,[],[f63])).
81.53/15.14	
81.53/15.14	tcf(c_77,plain, 
81.53/15.14	    (iext(uri_owl_someValuesFrom,sK5,uri_ex_Clique)),
81.53/15.14	    inference(cnf_transformation,[],[f61])).
81.53/15.14	
81.53/15.14	tcf(c_78,plain, 
81.53/15.14	    (iext(uri_owl_onProperty,sK5,uri_ex_sameCliqueAs)),
81.53/15.14	    inference(cnf_transformation,[],[f60])).
81.53/15.14	
81.53/15.14	tcf(c_80,plain, 
81.53/15.14	    (iext(uri_rdfs_subClassOf,uri_ex_Clique,sK5)),
81.53/15.14	    inference(cnf_transformation,[],[f58])).
81.53/15.14	
81.53/15.14	tcf(c_81,negated_conjecture, 
81.53/15.14	    (~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(cnf_transformation,[],[f77])).
81.53/15.14	
81.53/15.14	tcf(c_82,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]:  
81.53/15.14	    (~sP1(X0,X1,X2,X3,X4)|~iext(uri_owl_propertyChainAxiom,X1,X0)|sP0(X1,X4,X3,X2)),
81.53/15.14	    inference(cnf_transformation,[],[f79])).
81.53/15.14	
81.53/15.14	tcf(c_93,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i]:  
81.53/15.14	    (~iext(uri_rdf_rest,X0,X1)|~iext(uri_rdf_rest,X1,X2)|~iext(uri_rdf_first,X0,X3)|
81.53/15.14	    ~iext(uri_rdf_first,X1,X5)|~iext(uri_rdf_first,X2,X4)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|
81.53/15.14	    sP1(X0,X6,X4,X5,X3)),
81.53/15.14	    inference(cnf_transformation,[],[f89])).
81.53/15.14	
81.53/15.14	tcf(c_97,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
81.53/15.14	    (~iext(X0,X1,X2)|~iext(uri_rdfs_subPropertyOf,X0,X3)|iext(X3,X1,X2)),
81.53/15.14	    inference(cnf_transformation,[],[f91])).
81.53/15.14	
81.53/15.14	tcf(c_102,plain,![X0:$i,X1:$i,X2:$i]:  
81.53/15.14	    (~iext(uri_rdfs_subClassOf,X0,X1)|~icext(X0,X2)|icext(X1,X2)),
81.53/15.14	    inference(cnf_transformation,[],[f96])).
81.53/15.14	
81.53/15.14	tcf(c_1678,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~iext(uri_rdf_type,X0,X1)|~iext(uri_owl_inverseOf,sK6,uri_rdf_type)|
81.53/15.14	    iext(sK6,X1,X0)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_54])).
81.53/15.14	
81.53/15.14	tcf(c_1731,plain, 
81.53/15.14	    (icext(uri_ex_Clique,uri_ex_JoesGang)),
81.53/15.14	    inference(superposition,[status(thm)],[c_70,c_60])).
81.53/15.14	
81.53/15.14	tcf(c_1742,plain,![X0:$i]:  
81.53/15.14	    (~icext(uri_ex_Clique,X0)|icext(sK5,X0)),
81.53/15.14	    inference(superposition,[status(thm)],[c_80,c_102])).
81.53/15.14	
81.53/15.14	tcf(c_1746,plain, 
81.53/15.14	    (icext(sK5,uri_ex_JoesGang)),
81.53/15.14	    inference(superposition,[status(thm)],[c_1731,c_1742])).
81.53/15.14	
81.53/15.14	tcf(c_1940,plain, 
81.53/15.14	    (~iext(uri_owl_inverseOf,sK6,uri_rdf_type)|~iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)|
81.53/15.14	    iext(sK6,uri_ex_JoesGang,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_1678])).
81.53/15.14	
81.53/15.14	tcf(c_2387,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~iext(uri_owl_onProperty,sK5,X0)|~icext(sK5,X1)|iext(X0,X1,sK4(X0,uri_ex_Clique,X1))),
81.53/15.14	    inference(superposition,[status(thm)],[c_77,c_55])).
81.53/15.14	
81.53/15.14	tcf(c_4042,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]:  
81.53/15.14	    (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X0,sK8)|
81.53/15.14	    ~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_rest,sK8,X2)|sP1(X0,X4,X3,uri_ex_sameCliqueAs,X1)),
81.53/15.14	    inference(superposition,[status(thm)],[c_73,c_93])).
81.53/15.14	
81.53/15.14	tcf(c_4151,plain,![X0:$i,X1:$i,X2:$i]:  
81.53/15.14	    (~iext(uri_rdfs_subPropertyOf,X0,X1)|~iext(uri_owl_onProperty,sK5,X0)|
81.53/15.14	    ~icext(sK5,X2)|iext(X1,X2,sK4(X0,uri_ex_Clique,X2))),
81.53/15.14	    inference(superposition,[status(thm)],[c_2387,c_97])).
81.53/15.14	
81.53/15.14	tcf(c_26216,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~iext(uri_owl_onProperty,sK5,X0)|~iext(uri_rdfs_subPropertyOf,X0,uri_owl_sameAs)|
81.53/15.14	    ~icext(sK5,X1)|sK4(X0,uri_ex_Clique,X1) = X1),
81.53/15.14	    inference(superposition,[status(thm)],[c_4151,c_59])).
81.53/15.14	
81.53/15.14	tcf(c_30099,plain,![X0:$i]:  
81.53/15.14	    (~iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)|
81.53/15.14	    ~icext(sK5,X0)|sK4(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0),
81.53/15.14	    inference(superposition,[status(thm)],[c_78,c_26216])).
81.53/15.14	
81.53/15.14	tcf(c_30107,plain,![X0:$i]:  
81.53/15.14	    (~icext(sK5,X0)|sK4(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0),
81.53/15.14	    inference(global_subsumption_just,[status(thm)],[c_30099,c_63,c_30099])).
81.53/15.14	
81.53/15.14	tcf(c_30111,plain, 
81.53/15.14	    (sK4(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang) = uri_ex_JoesGang),
81.53/15.14	    inference(superposition,[status(thm)],[c_1746,c_30107])).
81.53/15.14	
81.53/15.14	tcf(c_30160,plain, 
81.53/15.14	    (~iext(uri_owl_onProperty,sK5,uri_ex_sameCliqueAs)|~icext(sK5,uri_ex_JoesGang)|
81.53/15.14	    iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
81.53/15.14	    inference(superposition,[status(thm)],[c_30111,c_2387])).
81.53/15.14	
81.53/15.14	tcf(c_41114,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
81.53/15.14	    (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK8)|~iext(uri_rdf_first,sK9,X2)|
81.53/15.14	    ~iext(uri_rdf_rest,sK8,sK9)|~iext(uri_rdf_rest,sK9,uri_rdf_nil)|sP1(X0,X3,X2,uri_ex_sameCliqueAs,X1)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_4042])).
81.53/15.14	
81.53/15.14	tcf(c_47824,plain,![X0:$i,X1:$i,X2:$i]:  
81.53/15.14	    (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK8)|~iext(uri_rdf_rest,sK8,sK9)|
81.53/15.14	    ~iext(uri_rdf_rest,sK9,uri_rdf_nil)|~iext(uri_rdf_first,sK9,sK6)|
81.53/15.14	    sP1(X0,X2,sK6,uri_ex_sameCliqueAs,X1)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_41114])).
81.53/15.14	
81.53/15.14	tcf(c_52974,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~iext(uri_rdf_first,sK7,X0)|~iext(uri_rdf_rest,sK7,sK8)|~iext(uri_rdf_rest,sK8,sK9)|
81.53/15.14	    ~iext(uri_rdf_rest,sK9,uri_rdf_nil)|~iext(uri_rdf_first,sK9,sK6)|
81.53/15.14	    sP1(sK7,X1,sK6,uri_ex_sameCliqueAs,X0)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_47824])).
81.53/15.14	
81.53/15.14	tcf(c_55979,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
81.53/15.14	    (~sP1(X0,uri_foaf_knows,X1,X2,X3)|~iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X0)|
81.53/15.14	    sP0(uri_foaf_knows,X3,X2,X1)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_82])).
81.53/15.14	
81.53/15.14	tcf(c_69463,plain,![X0:$i]:  
81.53/15.14	    (~iext(uri_rdf_first,sK7,X0)|~iext(uri_rdf_rest,sK7,sK8)|~iext(uri_rdf_rest,sK8,sK9)|
81.53/15.14	    ~iext(uri_rdf_rest,sK9,uri_rdf_nil)|~iext(uri_rdf_first,sK9,sK6)|
81.53/15.14	    sP1(sK7,uri_foaf_knows,sK6,uri_ex_sameCliqueAs,X0)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_52974])).
81.53/15.14	
81.53/15.14	tcf(c_69464,plain,![X0:$i]:  
81.53/15.14	    (~sP1(sK7,uri_foaf_knows,sK6,uri_ex_sameCliqueAs,X0)|~iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK7)|
81.53/15.14	    sP0(uri_foaf_knows,X0,uri_ex_sameCliqueAs,sK6)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_55979])).
81.53/15.14	
81.53/15.14	tcf(c_69465,plain, 
81.53/15.14	    (~iext(uri_rdf_rest,sK7,sK8)|~iext(uri_rdf_rest,sK8,sK9)|~iext(uri_rdf_rest,sK9,uri_rdf_nil)|
81.53/15.14	    ~iext(uri_rdf_first,sK7,uri_rdf_type)|~iext(uri_rdf_first,sK9,sK6)|
81.53/15.14	    sP1(sK7,uri_foaf_knows,sK6,uri_ex_sameCliqueAs,uri_rdf_type)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_69463])).
81.53/15.14	
81.53/15.14	tcf(c_69466,plain, 
81.53/15.14	    (~sP1(sK7,uri_foaf_knows,sK6,uri_ex_sameCliqueAs,uri_rdf_type)|~iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK7)|
81.53/15.14	    sP0(uri_foaf_knows,uri_rdf_type,uri_ex_sameCliqueAs,sK6)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_69464])).
81.53/15.14	
81.53/15.14	fof(f18,definition,(
81.53/15.14	  ! [X0,X2,X4,X6] : (sP0(X0,X2,X4,X6) <=> (ip(X0) & ip(X2) & ip(X4) & ip(X6) & ! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X6,X9,X10) | ~iext(X4,X8,X9) | ~iext(X2,X7,X8))))),
81.53/15.14	  introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction])).
81.53/15.14	fof(f19,definition,(
81.53/15.14	  ! [X1,X0,X6,X4,X2] : ((sP0(X0,X2,X4,X6) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | ~ sP1(X1,X0,X6,X4,X2))),
81.53/15.14	  introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction])).
81.53/15.14	fof(f20,plain,(
81.53/15.14	  ! [X0,X1,X2,X3,X4,X5,X6] : (sP1(X1,X0,X6,X4,X2) | ~iext(uri_rdf_rest,X3,X5) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))),
81.53/15.14	  inference(definition_folding,[],[f15,f19,f18])).
81.53/15.14	
81.53/15.14	fof(f33,plain,(
81.53/15.14	  ! [X0,X2,X4,X6] : ((sP0(X0,X2,X4,X6) | (~ip(X0) | ~ip(X2) | ~ip(X4) | ~ip(X6) | ? [X7,X8,X9,X10] : (~iext(X0,X7,X10) & iext(X6,X9,X10) & iext(X4,X8,X9) & iext(X2,X7,X8)))) & ((ip(X0) & ip(X2) & ip(X4) & ip(X6) & ! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X6,X9,X10) | ~iext(X4,X8,X9) | ~iext(X2,X7,X8))) | ~sP0(X0,X2,X4,X6)))),
81.53/15.14	  inference(nnf_transformation,[],[f18])).
81.53/15.14	
81.53/15.14	fof(f34,plain,(
81.53/15.14	  ! [X0,X2,X4,X6] : ((sP0(X0,X2,X4,X6) | ~ip(X0) | ~ip(X2) | ~ip(X4) | ~ip(X6) | ? [X7,X8,X9,X10] : (~iext(X0,X7,X10) & iext(X6,X9,X10) & iext(X4,X8,X9) & iext(X2,X7,X8))) & ((ip(X0) & ip(X2) & ip(X4) & ip(X6) & ! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X6,X9,X10) | ~iext(X4,X8,X9) | ~iext(X2,X7,X8))) | ~sP0(X0,X2,X4,X6)))),
81.53/15.14	  inference(flattening,[],[f33])).
81.53/15.14	
81.53/15.14	fof(f35,plain,(
81.53/15.14	  ! [X0,X1,X2,X3] : ((sP0(X0,X1,X2,X3) | ~ip(X0) | ~ip(X1) | ~ip(X2) | ~ip(X3) | ? [X4,X5,X6,X7] : (~iext(X0,X4,X7) & iext(X3,X6,X7) & iext(X2,X5,X6) & iext(X1,X4,X5))) & ((ip(X0) & ip(X1) & ip(X2) & ip(X3) & ! [X8,X9,X10,X11] : (iext(X0,X8,X11) | ~iext(X3,X10,X11) | ~iext(X2,X9,X10) | ~iext(X1,X8,X9))) | ~sP0(X0,X1,X2,X3)))),
81.53/15.14	  inference(rectify,[],[f34])).
81.53/15.14	
81.53/15.14	fof(f36,plain,(
81.53/15.14	  ! [X0,X1,X2,X3] : ((sP0(X0,X1,X2,X3) | ~ip(X0) | ~ip(X1) | ~ip(X2) | ~ip(X3) | (~iext(X0,sK10(X0,X1,X2,X3),sK13(X0,X1,X2,X3)) & iext(X3,sK12(X0,X1,X2,X3),sK13(X0,X1,X2,X3)) & iext(X2,sK11(X0,X1,X2,X3),sK12(X0,X1,X2,X3)) & iext(X1,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3)))) & ((ip(X0) & ip(X1) & ip(X2) & ip(X3) & ! [X8,X9,X10,X11] : (iext(X0,X8,X11) | ~iext(X3,X10,X11) | ~iext(X2,X9,X10) | ~iext(X1,X8,X9))) | ~sP0(X0,X1,X2,X3)))),
81.53/15.14	  inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X4,sK10(X0,X1,X2,X3)),skolemize(X5,sK11(X0,X1,X2,X3)),skolemize(X6,sK12(X0,X1,X2,X3)),skolemize(X7,sK13(X0,X1,X2,X3))],[f35])).
81.53/15.14	
81.53/15.14	fof(f80,plain,(
81.53/15.14	  ( ! [X2,X3,X10,X0,X11,X1,X8,X9] : (iext(X0,X8,X11) | ~iext(X3,X10,X11) | ~iext(X2,X9,X10) | ~iext(X1,X8,X9) | ~sP0(X0,X1,X2,X3)) )),
81.53/15.14	  inference(cnf_transformation,[],[f36])).
81.53/15.14	
81.53/15.14	tcf(c_92,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i]:  
81.53/15.14	    (~sP0(X0,X1,X2,X3)|~iext(X1,X4,X5)|~iext(X2,X5,X6)|~iext(X3,X6,X7)|
81.53/15.14	    iext(X0,X4,X7)),
81.53/15.14	    inference(cnf_transformation,[],[f80])).
81.53/15.14	
81.53/15.14	tcf(c_40911,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]:  
81.53/15.14	    (~sP0(uri_foaf_knows,X0,X1,X2)|~iext(X1,X3,X4)|~iext(X0,uri_ex_alice,X3)|
81.53/15.14	    ~iext(X2,X4,uri_ex_bob)|iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_92])).
81.53/15.14	
81.53/15.14	tcf(c_42170,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
81.53/15.14	    (~sP0(uri_foaf_knows,X0,X1,sK6)|~iext(X1,X2,X3)|~iext(X0,uri_ex_alice,X2)|
81.53/15.14	    ~iext(sK6,X3,uri_ex_bob)|iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_40911])).
81.53/15.14	
81.53/15.14	tcf(c_48345,plain,![X0:$i,X1:$i,X2:$i]:  
81.53/15.14	    (~sP0(uri_foaf_knows,X0,X1,sK6)|~iext(X0,uri_ex_alice,X2)|~iext(X1,X2,uri_ex_JoesGang)|
81.53/15.14	    ~iext(sK6,uri_ex_JoesGang,uri_ex_bob)|iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_42170])).
81.53/15.14	
81.53/15.14	tcf(c_56783,plain,![X0:$i,X1:$i]:  
81.53/15.14	    (~sP0(uri_foaf_knows,X0,X1,sK6)|~iext(X0,uri_ex_alice,uri_ex_JoesGang)|
81.53/15.14	    ~iext(X1,uri_ex_JoesGang,uri_ex_JoesGang)|~iext(sK6,uri_ex_JoesGang,uri_ex_bob)|
81.53/15.14	    iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_48345])).
81.53/15.14	
81.53/15.14	tcf(c_74232,plain,![X0:$i]:  
81.53/15.14	    (~sP0(uri_foaf_knows,X0,uri_ex_sameCliqueAs,sK6)|~iext(X0,uri_ex_alice,uri_ex_JoesGang)|
81.53/15.14	    ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)|~iext(sK6,uri_ex_JoesGang,uri_ex_bob)|
81.53/15.14	    iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_56783])).
81.53/15.14	
81.53/15.14	tcf(c_74233,plain, 
81.53/15.14	    (~sP0(uri_foaf_knows,uri_rdf_type,uri_ex_sameCliqueAs,sK6)|~iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)|
81.53/15.14	    ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)|~iext(sK6,uri_ex_JoesGang,uri_ex_bob)|
81.53/15.14	    iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
81.53/15.14	    inference(instantiation,[status(thm)],[c_74232])).
81.53/15.14	
81.53/15.14	tcf(c_74234,plain, 
81.53/15.14	    ($false),
81.53/15.14	    inference(prop_impl_just,
81.53/15.14	              [status(thm)],
81.53/15.14	              [c_74233,c_69466,c_69465,c_30160,c_1940,c_1746,c_81,c_65,
81.53/15.14	               c_66,c_67,c_68,c_69,c_71,c_72,c_74,c_75,c_78])).
81.53/15.14	
81.53/15.14	
81.53/15.14	% SZS output end CNFRefutation for theBenchmark.p
81.53/15.14	
81.53/15.14	
106.35/15.29	EOF