0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.19/0.46	% Computer : n020.cluster.edu
0.19/0.46	% Model    : x86_64 x86_64
0.19/0.46	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.19/0.46	% Memory   : 8046.5625MB
0.19/0.46	% OS       : Linux 6.8.0-71-generic
0.19/0.46	% CPULimit : 1440
0.19/0.46	% WCLimit  : 180
0.19/0.46	% DateTime : Mon Jul 27 10:28:07 UTC 2026
0.19/0.46	% CPUTime  : 
0.19/0.46	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.53	Running first-order theorem proving
0.24/0.53	Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
9.17/2.60	% (2525304)Detected formulas, will run a generic FOF schedule.
9.17/2.60	% (2525312)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1380677754:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
9.17/2.60	% (2525313)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4034803846:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
9.17/2.60	% (2525314)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2315680066:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
9.17/2.60	% (2525316)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2841515891:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
9.17/2.60	% (2525317)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2125414255:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
9.17/2.60	% (2525318)dis-21_1_sil=8000:lcm=predicate:random_seed=4121086199:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi)
9.17/2.60	% (2525315)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1407643612:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
9.17/2.60	% (2525316)Refutation not found, incomplete strategy
9.17/2.60	% (2525316)------------------------------
9.17/2.60	% (2525316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.17/2.60	% (2525316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.17/2.60	% (2525315)Refutation not found, incomplete strategy
9.17/2.60	% (2525315)------------------------------
9.17/2.60	% (2525315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.17/2.60	% (2525316)CaDiCaL version: 2.1.3
9.17/2.60	% (2525316)Termination reason: Refutation not found, incomplete strategy
9.17/2.60	% (2525316)Time elapsed: 0.001 s
9.17/2.60	% (2525316)Peak memory usage: 87 MB
9.17/2.60	% (2525315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.17/2.60	% (2525315)CaDiCaL version: 2.1.3
9.17/2.60	% (2525315)Termination reason: Refutation not found, incomplete strategy
9.17/2.60	% (2525315)Time elapsed: 0.001 s
9.17/2.60	% (2525315)Peak memory usage: 87 MB
9.17/2.60	% (2525318)Instruction limit reached! 
9.17/2.60	% (2525318)------------------------------
9.17/2.60	% (2525318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.17/2.60	% (2525318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.17/2.60	% (2525318)CaDiCaL version: 2.1.3
9.17/2.60	% (2525318)Termination reason: Instruction limit
9.17/2.60	% (2525318)Termination phase: Saturation
9.17/2.60	% (2525318)Time elapsed: 0.127 s
9.17/2.60	% (2525318)Peak memory usage: 89 MB
9.17/2.60	% (2525318)Instructions burned: 129 (million)
9.17/2.60	% (2525317)Instruction limit reached! 
9.17/2.60	% (2525317)------------------------------
9.17/2.60	% (2525317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.17/2.60	% (2525317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.17/2.60	% (2525317)CaDiCaL version: 2.1.3
9.17/2.60	% (2525317)Termination reason: Instruction limit
9.17/2.60	% (2525317)Termination phase: Saturation
9.17/2.60	% (2525317)Time elapsed: 0.174 s
9.17/2.60	% (2525317)Peak memory usage: 89 MB
9.17/2.60	% (2525317)Instructions burned: 139 (million)
9.17/2.60	% (2525316)------------------------------
9.17/2.60	% (2525316)------------------------------
9.17/2.60	% (2525315)------------------------------
9.17/2.60	% (2525315)------------------------------
9.17/2.60	% (2525326)lrs+10_1_sil=8000:sp=occurrence:random_seed=1315481696:i=285:sd=3:ss=axioms:sgt=8_1795 on theBenchmark for (1795ds/285Mi)
9.17/2.60	% (2525327)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4188221699:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1795 on theBenchmark for (1795ds/157Mi)
9.17/2.60	% (2525327)Refutation not found, incomplete strategy
9.17/2.60	% (2525327)------------------------------
9.17/2.60	% (2525327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.17/2.60	% (2525327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.17/2.60	% (2525327)CaDiCaL version: 2.1.3
10.17/2.60	% (2525327)Termination reason: Refutation not found, incomplete strategy
10.17/2.60	% (2525327)Time elapsed: 0.002 s
10.17/2.60	% (2525327)Peak memory usage: 88 MB
10.17/2.60	% (2525312)First to succeed.
10.17/2.60	% (2525312)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2525304"
10.17/2.60	% (2525326)Instruction limit reached! 
10.17/2.60	% (2525326)------------------------------
10.17/2.60	% (2525326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.17/2.60	% (2525326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.17/2.60	% (2525326)CaDiCaL version: 2.1.3
10.17/2.60	% (2525326)Termination reason: Instruction limit
10.17/2.60	% (2525326)Termination phase: Saturation
10.17/2.60	% (2525326)Time elapsed: 0.260 s
10.17/2.60	% (2525326)Peak memory usage: 91 MB
10.17/2.60	% (2525326)Instructions burned: 285 (million)
10.17/2.60	% (2525329)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3252314441:s2a=on:i=248:s2at=1.23:gtg=position_1793 on theBenchmark for (1793ds/248Mi)
10.17/2.60	% (2525328)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2645158724:i=325:sd=1:ss=axioms:sgt=32_1793 on theBenchmark for (1793ds/325Mi)
10.17/2.60	% (2525329)Also succeeded, but the first one will report.
10.17/2.60	% (2525313)Also succeeded, but the first one will report.
10.17/2.60	% (2525327)------------------------------
10.17/2.60	% (2525327)------------------------------
10.17/2.60	% (2525332)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3263755575:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1790 on theBenchmark for (1790ds/294Mi)
10.17/2.60	% (2525328)Instruction limit reached! 
10.17/2.60	% (2525328)------------------------------
10.17/2.60	% (2525328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.17/2.60	% (2525328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.17/2.60	% (2525328)CaDiCaL version: 2.1.3
10.17/2.60	% (2525328)Termination reason: Instruction limit
10.17/2.60	% (2525328)Termination phase: Saturation
10.17/2.60	% (2525328)Time elapsed: 0.325 s
10.17/2.60	% (2525328)Peak memory usage: 91 MB
10.17/2.60	% (2525328)Instructions burned: 325 (million)
10.17/2.60	% (2525312)Refutation found. Thanks to Tanya!
10.17/2.60	% SZS status Theorem for theBenchmark
10.17/2.60	% SZS output start Proof for theBenchmark
10.17/2.60	fof(f1,axiom,(
10.17/2.60	  ! [X0,X1] : (iext(uri_owl_inverseOf,X0,X1) <=> (ip(X0) & ip(X1) & ! [X2,X3] : (iext(X1,X3,X2) <=> iext(X0,X2,X3))))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv)).
10.17/2.60	fof(f2,axiom,(
10.17/2.60	  ! [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)))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom)).
10.17/2.60	fof(f3,axiom,(
10.17/2.60	  ! [X0,X1] : (iext(uri_owl_sameAs,X0,X1) <=> X1 = X0)),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas)).
10.17/2.60	fof(f4,axiom,(
10.17/2.60	  ! [X0,X1] : (icext(X1,X0) <=> iext(uri_rdf_type,X0,X1))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def)).
10.17/2.60	fof(f5,axiom,(
10.17/2.60	  ? [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))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques)).
10.17/2.60	fof(f6,conjecture,(
10.17/2.60	  iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques)).
10.17/2.60	fof(f7,negated_conjecture,(
10.17/2.60	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
10.17/2.60	  inference(negated_conjecture,[status(cth)],[f6])).
10.17/2.60	fof(f8,axiom,(
10.17/2.60	  ! [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)))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003)).
10.17/2.60	fof(f9,axiom,(
10.17/2.60	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> (ip(X1) & ! [X2,X3] : (iext(X0,X2,X3) => iext(X1,X2,X3)) & ip(X0)))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof)).
10.17/2.60	fof(f10,axiom,(
10.17/2.60	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> (ic(X1) & ! [X2] : (icext(X0,X2) => icext(X1,X2)) & ic(X0)))),
10.17/2.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof)).
10.17/2.60	fof(f11,plain,(
10.17/2.60	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
10.17/2.60	  inference(flattening,[],[f7])).
10.17/2.60	fof(f12,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(ennf_transformation,[],[f2])).
10.17/2.60	fof(f13,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(flattening,[],[f12])).
10.17/2.60	fof(f14,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(ennf_transformation,[],[f8])).
10.17/2.60	fof(f15,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(flattening,[],[f14])).
10.17/2.60	fof(f16,plain,(
10.17/2.60	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> (ip(X1) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X0)))),
10.17/2.60	  inference(ennf_transformation,[],[f9])).
10.17/2.60	fof(f17,plain,(
10.17/2.60	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> (ic(X1) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X0)))),
10.17/2.60	  inference(ennf_transformation,[],[f10])).
10.17/2.60	fof(f18,definition,(
10.17/2.60	  ! [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))))),
10.17/2.60	  introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction])).
10.17/2.60	fof(f19,definition,(
10.17/2.60	  ! [X1,X0,X6,X4,X2] : ((sP0(X0,X2,X4,X6) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | ~sP1(X1,X0,X6,X4,X2))),
10.17/2.60	  introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction])).
10.17/2.60	fof(f20,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(definition_folding,[],[f15,f19,f18])).
10.17/2.60	fof(f21,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(nnf_transformation,[],[f1])).
10.17/2.60	fof(f22,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(flattening,[],[f21])).
10.17/2.60	fof(f23,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(rectify,[],[f22])).
10.17/2.60	fof(f24,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f23])).
10.17/2.60	fof(f25,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(nnf_transformation,[],[f13])).
10.17/2.60	fof(f26,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(rectify,[],[f25])).
10.17/2.60	fof(f27,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X1,X2,X3))],[f26])).
10.17/2.60	fof(f28,plain,(
10.17/2.60	  ! [X0,X1] : ((iext(uri_owl_sameAs,X0,X1) | X0 != X1) & (X1 = X0 | ~iext(uri_owl_sameAs,X0,X1)))),
10.17/2.60	  inference(nnf_transformation,[],[f3])).
10.17/2.60	fof(f29,plain,(
10.17/2.60	  ! [X0,X1] : ((icext(X1,X0) | ~iext(uri_rdf_type,X0,X1)) & (iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)))),
10.17/2.60	  inference(nnf_transformation,[],[f4])).
10.17/2.60	fof(f30,plain,(
10.17/2.60	  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)),
10.17/2.60	  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])).
10.17/2.60	fof(f31,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(nnf_transformation,[],[f19])).
10.17/2.60	fof(f32,plain,(
10.17/2.60	  ! [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))),
10.17/2.60	  inference(rectify,[],[f31])).
10.17/2.60	fof(f33,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(nnf_transformation,[],[f18])).
10.17/2.60	fof(f34,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(flattening,[],[f33])).
10.17/2.60	fof(f35,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(rectify,[],[f34])).
10.17/2.60	fof(f36,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  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])).
10.17/2.60	fof(f37,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(nnf_transformation,[],[f16])).
10.17/2.60	fof(f38,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(flattening,[],[f37])).
10.17/2.60	fof(f39,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(rectify,[],[f38])).
10.17/2.60	fof(f40,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X2,sK14(X0,X1)),skolemize(X3,sK15(X0,X1))],[f39])).
10.17/2.60	fof(f41,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(nnf_transformation,[],[f17])).
10.17/2.60	fof(f42,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(flattening,[],[f41])).
10.17/2.60	fof(f43,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(rectify,[],[f42])).
10.17/2.60	fof(f44,plain,(
10.17/2.60	  ! [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)))),
10.17/2.60	  inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f43])).
10.17/2.60	fof(f45,plain,(
10.17/2.60	  ( ! [X0,X1,X4,X5] : (~iext(uri_owl_inverseOf,X0,X1) | ~iext(X1,X5,X4) | iext(X0,X4,X5)) )),
10.48/2.97	  inference(cnf_transformation,[],[f24])).
10.48/2.97	fof(f53,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1] : (~iext(uri_owl_onProperty,X0,X1) | ~icext(X0,X3) | ~iext(uri_owl_someValuesFrom,X0,X2) | iext(X1,X3,sK4(X1,X2,X3))) )),
10.48/2.97	  inference(cnf_transformation,[],[f27])).
10.48/2.97	fof(f54,plain,(
10.48/2.97	  ( ! [X0,X1] : (~iext(uri_owl_sameAs,X0,X1) | X0 = X1) )),
10.48/2.97	  inference(cnf_transformation,[],[f28])).
10.48/2.97	fof(f56,plain,(
10.48/2.97	  ( ! [X0,X1] : (iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)) )),
10.48/2.97	  inference(cnf_transformation,[],[f29])).
10.48/2.97	fof(f57,plain,(
10.48/2.97	  ( ! [X0,X1] : (~iext(uri_rdf_type,X0,X1) | icext(X1,X0)) )),
10.48/2.97	  inference(cnf_transformation,[],[f29])).
10.48/2.97	fof(f58,plain,(
10.48/2.97	  iext(uri_rdfs_subClassOf,uri_ex_Clique,sK5)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f60,plain,(
10.48/2.97	  iext(uri_owl_onProperty,sK5,uri_ex_sameCliqueAs)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f61,plain,(
10.48/2.97	  iext(uri_owl_someValuesFrom,sK5,uri_ex_Clique)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f63,plain,(
10.48/2.97	  iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK7)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f64,plain,(
10.48/2.97	  iext(uri_rdf_first,sK7,uri_rdf_type)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f65,plain,(
10.48/2.97	  iext(uri_rdf_first,sK8,uri_ex_sameCliqueAs)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f66,plain,(
10.48/2.97	  iext(uri_rdf_rest,sK8,sK9)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f67,plain,(
10.48/2.97	  iext(uri_rdf_rest,sK9,uri_rdf_nil)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f68,plain,(
10.48/2.97	  iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f69,plain,(
10.48/2.97	  iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f70,plain,(
10.48/2.97	  iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f71,plain,(
10.48/2.97	  iext(uri_owl_inverseOf,sK6,uri_rdf_type)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f72,plain,(
10.48/2.97	  iext(uri_rdf_first,sK9,sK6)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f73,plain,(
10.48/2.97	  iext(uri_rdf_rest,sK7,sK8)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f75,plain,(
10.48/2.97	  iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
10.48/2.97	  inference(cnf_transformation,[],[f30])).
10.48/2.97	fof(f77,plain,(
10.48/2.97	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
10.48/2.97	  inference(cnf_transformation,[],[f11])).
10.48/2.97	fof(f79,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1,X4] : (~sP1(X0,X1,X2,X3,X4) | ~iext(uri_owl_propertyChainAxiom,X1,X0) | sP0(X1,X4,X3,X2)) )),
10.48/2.97	  inference(cnf_transformation,[],[f32])).
10.48/2.97	fof(f80,plain,(
10.48/2.97	  ( ! [X2,X3,X10,X0,X11,X1,X8,X9] : (~sP0(X0,X1,X2,X3) | ~iext(X3,X10,X11) | ~iext(X2,X9,X10) | ~iext(X1,X8,X9) | iext(X0,X8,X11)) )),
10.48/2.97	  inference(cnf_transformation,[],[f36])).
10.48/2.97	fof(f89,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1,X6,X4,X5] : (~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_rest,X3,X5) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | sP1(X1,X0,X6,X4,X2) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2)) )),
10.48/2.97	  inference(cnf_transformation,[],[f20])).
10.48/2.97	fof(f91,plain,(
10.48/2.97	  ( ! [X0,X1,X4,X5] : (~iext(uri_rdfs_subPropertyOf,X0,X1) | ~iext(X0,X4,X5) | iext(X1,X4,X5)) )),
10.48/2.97	  inference(cnf_transformation,[],[f40])).
10.48/2.97	fof(f96,plain,(
10.48/2.97	  ( ! [X3,X0,X1] : (~iext(uri_rdfs_subClassOf,X0,X1) | ~icext(X0,X3) | icext(X1,X3)) )),
10.48/2.97	  inference(cnf_transformation,[],[f44])).
10.48/2.97	fof(f102,plain,(
10.48/2.97	  icext(uri_ex_JoesGang,uri_ex_bob)),
10.48/2.97	  inference(resolution,[],[f69,f57])).
10.48/2.97	fof(f104,plain,(
10.48/2.97	  ( ! [X0,X1] : (~iext(uri_rdf_type,X0,X1) | iext(sK6,X1,X0)) )),
10.48/2.97	  inference(resolution,[],[f45,f71])).
10.48/2.97	fof(f114,plain,(
10.48/2.97	  ( ! [X0,X1] : (iext(uri_ex_sameCliqueAs,X0,sK4(uri_ex_sameCliqueAs,X1,X0)) | ~iext(uri_owl_someValuesFrom,sK5,X1) | ~icext(sK5,X0)) )),
10.48/2.97	  inference(resolution,[],[f53,f60])).
10.48/2.97	fof(f116,plain,(
10.48/2.97	  ( ! [X0] : (~icext(uri_ex_Clique,X0) | icext(sK5,X0)) )),
10.48/2.97	  inference(resolution,[],[f96,f58])).
10.48/2.97	fof(f119,plain,(
10.48/2.97	  ( ! [X0,X1] : (iext(sK6,X0,X1) | ~icext(X0,X1)) )),
10.48/2.97	  inference(resolution,[],[f56,f104])).
10.48/2.97	fof(f123,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1,X4] : (~iext(uri_rdf_rest,X0,sK9) | ~iext(uri_rdf_rest,sK9,uri_rdf_nil) | sP1(X1,X2,sK6,X3,X4) | ~iext(uri_rdf_first,X0,X3) | ~iext(uri_rdf_rest,X1,X0) | ~iext(uri_rdf_first,X1,X4)) )),
10.48/2.97	  inference(resolution,[],[f89,f72])).
10.48/2.97	fof(f133,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1,X4] : (~iext(uri_rdf_first,X1,X4) | sP1(X1,X2,sK6,X3,X4) | ~iext(uri_rdf_first,X0,X3) | ~iext(uri_rdf_rest,X1,X0) | ~iext(uri_rdf_rest,X0,sK9)) )),
10.48/2.97	  inference(forward_subsumption_resolution,[],[f123,f67])).
10.48/2.97	fof(f142,plain,(
10.48/2.97	  ( ! [X2,X0,X1] : (~iext(uri_rdf_first,X2,X1) | sP1(sK7,X0,sK6,X1,uri_rdf_type) | ~iext(uri_rdf_rest,sK7,X2) | ~iext(uri_rdf_rest,X2,sK9)) )),
10.48/2.97	  inference(resolution,[],[f133,f64])).
10.48/2.97	fof(f180,plain,(
10.48/2.97	  ( ! [X0] : (sP1(sK7,X0,sK6,uri_ex_sameCliqueAs,uri_rdf_type) | ~iext(uri_rdf_rest,sK7,sK8) | ~iext(uri_rdf_rest,sK8,sK9)) )),
10.48/2.97	  inference(resolution,[],[f142,f65])).
10.48/2.97	fof(f181,plain,(
10.48/2.97	  ( ! [X0] : (sP1(sK7,X0,sK6,uri_ex_sameCliqueAs,uri_rdf_type) | ~iext(uri_rdf_rest,sK8,sK9)) )),
10.48/2.97	  inference(forward_subsumption_resolution,[],[f180,f73])).
10.48/2.97	fof(f190,plain,(
10.48/2.97	  ( ! [X0] : (sP1(sK7,X0,sK6,uri_ex_sameCliqueAs,uri_rdf_type)) )),
10.48/2.97	  inference(forward_subsumption_resolution,[],[f181,f66])).
10.48/2.97	fof(f191,plain,(
10.48/2.97	  ( ! [X0] : (sP0(X0,uri_rdf_type,uri_ex_sameCliqueAs,sK6) | ~iext(uri_owl_propertyChainAxiom,X0,sK7)) )),
10.48/2.97	  inference(resolution,[],[f190,f79])).
10.48/2.97	fof(f192,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1,X4] : (~iext(sK6,X1,X2) | ~iext(uri_owl_propertyChainAxiom,X0,sK7) | ~iext(uri_ex_sameCliqueAs,X3,X1) | ~iext(uri_rdf_type,X4,X3) | iext(X0,X4,X2)) )),
10.48/2.97	  inference(resolution,[],[f191,f80])).
10.48/2.97	fof(f196,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1,X4] : (~iext(uri_owl_propertyChainAxiom,X0,sK7) | ~iext(uri_ex_sameCliqueAs,X1,X2) | ~iext(uri_rdf_type,X3,X1) | iext(X0,X3,X4) | ~icext(X2,X4)) )),
10.48/2.97	  inference(resolution,[],[f192,f119])).
10.48/2.97	fof(f212,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1] : (~iext(uri_ex_sameCliqueAs,X0,X1) | ~iext(uri_rdf_type,X2,X0) | iext(uri_foaf_knows,X2,X3) | ~icext(X1,X3)) )),
10.48/2.97	  inference(resolution,[],[f196,f63])).
10.48/2.97	fof(f213,plain,(
10.48/2.97	  ( ! [X2,X3,X0,X1] : (~icext(sK4(uri_ex_sameCliqueAs,X3,X1),X2) | iext(uri_foaf_knows,X0,X2) | ~iext(uri_rdf_type,X0,X1) | ~iext(uri_owl_someValuesFrom,sK5,X3) | ~icext(sK5,X1)) )),
10.48/2.97	  inference(resolution,[],[f212,f114])).
10.48/2.97	fof(f216,plain,(
10.48/2.97	  icext(uri_ex_Clique,uri_ex_JoesGang)),
10.48/2.97	  inference(resolution,[],[f68,f57])).
10.48/2.97	fof(f219,plain,(
10.48/2.97	  icext(sK5,uri_ex_JoesGang)),
10.48/2.97	  inference(resolution,[],[f216,f116])).
10.48/2.97	fof(f220,plain,(
10.48/2.97	  ( ! [X0,X1] : (~iext(uri_ex_sameCliqueAs,X0,X1) | iext(uri_owl_sameAs,X0,X1)) )),
10.48/2.97	  inference(resolution,[],[f75,f91])).
10.48/2.97	fof(f221,plain,(
10.48/2.97	  ( ! [X0,X1] : (iext(uri_owl_sameAs,X0,sK4(uri_ex_sameCliqueAs,X1,X0)) | ~iext(uri_owl_someValuesFrom,sK5,X1) | ~icext(sK5,X0)) )),
10.48/2.97	  inference(resolution,[],[f220,f114])).
10.48/2.97	fof(f222,plain,(
10.48/2.97	  ( ! [X0,X1] : (~iext(uri_owl_someValuesFrom,sK5,X1) | sK4(uri_ex_sameCliqueAs,X1,X0) = X0 | ~icext(sK5,X0)) )),
10.48/2.97	  inference(resolution,[],[f54,f221])).
10.48/2.97	fof(f224,plain,(
10.48/2.97	  ( ! [X0] : (~icext(sK5,X0) | sK4(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0) )),
10.48/2.97	  inference(resolution,[],[f222,f61])).
10.48/2.97	fof(f226,plain,(
10.48/2.97	  uri_ex_JoesGang = sK4(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
10.48/2.97	  inference(resolution,[],[f224,f219])).
10.48/2.97	fof(f238,plain,(
10.48/2.97	  ( ! [X0,X1] : (~icext(uri_ex_JoesGang,X0) | iext(uri_foaf_knows,X1,X0) | ~iext(uri_rdf_type,X1,uri_ex_JoesGang) | ~iext(uri_owl_someValuesFrom,sK5,uri_ex_Clique) | ~icext(sK5,uri_ex_JoesGang)) )),
10.48/2.97	  inference(superposition,[],[f213,f226])).
10.48/2.97	fof(f242,plain,(
10.48/2.97	  ( ! [X0,X1] : (~icext(uri_ex_JoesGang,X0) | iext(uri_foaf_knows,X1,X0) | ~iext(uri_rdf_type,X1,uri_ex_JoesGang) | ~icext(sK5,uri_ex_JoesGang)) )),
10.48/2.97	  inference(forward_subsumption_resolution,[],[f238,f61])).
10.48/2.97	fof(f244,plain,(
10.48/2.97	  ( ! [X0,X1] : (~iext(uri_rdf_type,X1,uri_ex_JoesGang) | iext(uri_foaf_knows,X1,X0) | ~icext(uri_ex_JoesGang,X0)) )),
10.48/2.97	  inference(forward_subsumption_resolution,[],[f242,f219])).
10.48/2.97	fof(f245,plain,(
10.48/2.97	  ( ! [X0] : (iext(uri_foaf_knows,uri_ex_alice,X0) | ~icext(uri_ex_JoesGang,X0)) )),
10.48/2.97	  inference(resolution,[],[f244,f70])).
10.48/2.97	fof(f248,plain,(
10.48/2.97	  ~icext(uri_ex_JoesGang,uri_ex_bob)),
10.48/2.97	  inference(resolution,[],[f245,f77])).
10.48/2.97	fof(f249,plain,(
10.48/2.97	  $false),
10.48/2.97	  inference(forward_subsumption_resolution,[],[f248,f102])).
10.48/2.97	% SZS output end Proof for theBenchmark
10.48/2.97	% (2525312)------------------------------
10.48/2.97	% (2525312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.48/2.97	% (2525312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.48/2.97	% (2525312)CaDiCaL version: 2.1.3
10.48/2.97	% (2525312)Termination reason: Refutation
10.48/2.97	% (2525312)Time elapsed: 0.719 s
10.48/2.97	% (2525312)Peak memory usage: 129 MB
10.48/2.97	% (2525312)Instructions burned: 954 (million)
10.48/2.97	% (2525312)------------------------------
10.48/2.97	% (2525312)------------------------------
10.48/2.97	% (2525304)Success in time 1.356 s
10.48/2.97	% Vampire exiting
10.48/2.97	EOF