TSTP Solution File: SWB068+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB068+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Wed May 31 12:38:45 EDT 2023
% Result : Theorem 86.18s 11.28s
% Output : CNFRefutation 86.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWB068+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n004.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:36:52 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.34 % Drodi V3.5.1
% 86.18/11.28 % Refutation found
% 86.18/11.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 86.18/11.28 % SZS output start CNFRefutation for theBenchmark
% 86.18/11.28 fof(f25,axiom,(
% 86.18/11.28 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 86.18/11.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 86.18/11.28 fof(f345,axiom,(
% 86.18/11.28 (! [X,Y] :( iext(uri_owl_differentFrom,X,Y)<=> X != Y ) )),
% 86.18/11.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 86.18/11.28 fof(f366,axiom,(
% 86.18/11.28 (! [S1,A1,S2,A2,S3,A3] :( ( iext(uri_rdf_first,S1,A1)& iext(uri_rdf_rest,S1,S2)& iext(uri_rdf_first,S2,A2)& iext(uri_rdf_rest,S2,S3)& iext(uri_rdf_first,S3,A3)& iext(uri_rdf_rest,S3,uri_rdf_nil)& A1 != A2& A1 != A3& A2 != A3 )=> (? [Z] :( icext(uri_owl_AllDifferent,Z)& iext(uri_owl_members,Z,S1) ) )) )),
% 86.18/11.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 86.18/11.28 fof(f559,conjecture,(
% 86.18/11.28 (? [X2,X0,X1,X3] :( iext(uri_rdf_first,X0,uri_ex_w1)& iext(uri_rdf_rest,X0,X1)& iext(uri_rdf_first,X1,uri_ex_w2)& iext(uri_rdf_rest,X1,X2)& iext(uri_rdf_type,X3,uri_owl_AllDifferent)& iext(uri_owl_members,X3,X0)& iext(uri_rdf_first,X2,uri_ex_w3)& iext(uri_rdf_rest,X2,uri_rdf_nil) ) )),
% 86.18/11.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 86.18/11.28 fof(f560,negated_conjecture,(
% 86.18/11.28 ~((? [X2,X0,X1,X3] :( iext(uri_rdf_first,X0,uri_ex_w1)& iext(uri_rdf_rest,X0,X1)& iext(uri_rdf_first,X1,uri_ex_w2)& iext(uri_rdf_rest,X1,X2)& iext(uri_rdf_type,X3,uri_owl_AllDifferent)& iext(uri_owl_members,X3,X0)& iext(uri_rdf_first,X2,uri_ex_w3)& iext(uri_rdf_rest,X2,uri_rdf_nil) ) ))),
% 86.18/11.28 inference(negated_conjecture,[status(cth)],[f559])).
% 86.18/11.28 fof(f561,axiom,(
% 86.18/11.28 (? [X0,X2,X1] :( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)& iext(uri_rdf_first,X0,uri_ex_w3)& iext(uri_rdf_rest,X0,uri_rdf_nil)& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)& iext(uri_rdf_first,X1,uri_ex_w2)& iext(uri_rdf_rest,X1,X0)& iext(uri_rdf_first,X2,uri_ex_w1)& iext(uri_rdf_rest,X2,X1) ) )),
% 86.18/11.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 86.18/11.28 fof(f592,plain,(
% 86.18/11.28 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 86.18/11.28 inference(NNF_transformation,[status(esa)],[f25])).
% 86.18/11.28 fof(f593,plain,(
% 86.18/11.28 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 86.18/11.28 inference(miniscoping,[status(esa)],[f592])).
% 86.18/11.28 fof(f595,plain,(
% 86.18/11.28 ![X0,X1]: (iext(uri_rdf_type,X0,X1)|~icext(X1,X0))),
% 86.18/11.28 inference(cnf_transformation,[status(esa)],[f593])).
% 86.18/11.28 fof(f1749,plain,(
% 86.18/11.28 ![X,Y]: ((~iext(uri_owl_differentFrom,X,Y)|~X=Y)&(iext(uri_owl_differentFrom,X,Y)|X=Y))),
% 86.18/11.28 inference(NNF_transformation,[status(esa)],[f345])).
% 86.18/11.28 fof(f1750,plain,(
% 86.18/11.28 (![X,Y]: (~iext(uri_owl_differentFrom,X,Y)|~X=Y))&(![X,Y]: (iext(uri_owl_differentFrom,X,Y)|X=Y))),
% 86.18/11.28 inference(miniscoping,[status(esa)],[f1749])).
% 86.18/11.28 fof(f1751,plain,(
% 86.18/11.28 ![X0,X1]: (~iext(uri_owl_differentFrom,X0,X1)|~X0=X1)),
% 86.18/11.28 inference(cnf_transformation,[status(esa)],[f1750])).
% 86.18/11.28 fof(f1877,plain,(
% 86.18/11.28 ![S1,A1,S2,A2,S3,A3]: (((((((((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,S3))|~iext(uri_rdf_first,S3,A3))|~iext(uri_rdf_rest,S3,uri_rdf_nil))|A1=A2)|A1=A3)|A2=A3)|(?[Z]: (icext(uri_owl_AllDifferent,Z)&iext(uri_owl_members,Z,S1))))),
% 86.18/11.28 inference(pre_NNF_transformation,[status(esa)],[f366])).
% 86.18/11.28 fof(f1878,plain,(
% 86.18/11.28 ![S1]: ((![A2,A3]: ((![A1]: (((![S3]: (((![S2]: (((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,S3)))|~iext(uri_rdf_first,S3,A3))|~iext(uri_rdf_rest,S3,uri_rdf_nil)))|A1=A2)|A1=A3))|A2=A3))|(?[Z]: (icext(uri_owl_AllDifferent,Z)&iext(uri_owl_members,Z,S1))))),
% 86.18/11.28 inference(miniscoping,[status(esa)],[f1877])).
% 86.18/11.28 fof(f1879,plain,(
% 86.18/11.28 ![S1]: ((![A2,A3]: ((![A1]: (((![S3]: (((![S2]: (((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,S3)))|~iext(uri_rdf_first,S3,A3))|~iext(uri_rdf_rest,S3,uri_rdf_nil)))|A1=A2)|A1=A3))|A2=A3))|(icext(uri_owl_AllDifferent,sk0_135(S1))&iext(uri_owl_members,sk0_135(S1),S1)))),
% 86.18/11.28 inference(skolemization,[status(esa)],[f1878])).
% 86.18/11.28 fof(f1880,plain,(
% 86.18/11.28 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,X4)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|X1=X3|X1=X5|X3=X5|icext(uri_owl_AllDifferent,sk0_135(X0)))),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f1879])).
% 86.18/11.30 fof(f1881,plain,(
% 86.18/11.30 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,X4)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|X1=X3|X1=X5|X3=X5|iext(uri_owl_members,sk0_135(X0),X0))),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f1879])).
% 86.18/11.30 fof(f2405,plain,(
% 86.18/11.30 (![X2,X0,X1,X3]: (((((((~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,X1))|~iext(uri_rdf_first,X1,uri_ex_w2))|~iext(uri_rdf_rest,X1,X2))|~iext(uri_rdf_type,X3,uri_owl_AllDifferent))|~iext(uri_owl_members,X3,X0))|~iext(uri_rdf_first,X2,uri_ex_w3))|~iext(uri_rdf_rest,X2,uri_rdf_nil)))),
% 86.18/11.30 inference(pre_NNF_transformation,[status(esa)],[f560])).
% 86.18/11.30 fof(f2406,plain,(
% 86.18/11.30 ![X2]: (((![X0,X3]: (((![X1]: (((~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,X1))|~iext(uri_rdf_first,X1,uri_ex_w2))|~iext(uri_rdf_rest,X1,X2)))|~iext(uri_rdf_type,X3,uri_owl_AllDifferent))|~iext(uri_owl_members,X3,X0)))|~iext(uri_rdf_first,X2,uri_ex_w3))|~iext(uri_rdf_rest,X2,uri_rdf_nil))),
% 86.18/11.30 inference(miniscoping,[status(esa)],[f2405])).
% 86.18/11.30 fof(f2407,plain,(
% 86.18/11.30 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,X1)|~iext(uri_rdf_first,X1,uri_ex_w2)|~iext(uri_rdf_rest,X1,X2)|~iext(uri_rdf_type,X3,uri_owl_AllDifferent)|~iext(uri_owl_members,X3,X0)|~iext(uri_rdf_first,X2,uri_ex_w3)|~iext(uri_rdf_rest,X2,uri_rdf_nil))),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2406])).
% 86.18/11.30 fof(f2408,plain,(
% 86.18/11.30 ?[X2,X1]: (((?[X0]: ((((((iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)&iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3))&iext(uri_rdf_first,X0,uri_ex_w3))&iext(uri_rdf_rest,X0,uri_rdf_nil))&iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3))&iext(uri_rdf_first,X1,uri_ex_w2))&iext(uri_rdf_rest,X1,X0)))&iext(uri_rdf_first,X2,uri_ex_w1))&iext(uri_rdf_rest,X2,X1))),
% 86.18/11.30 inference(miniscoping,[status(esa)],[f561])).
% 86.18/11.30 fof(f2409,plain,(
% 86.18/11.30 ((((((((iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)&iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3))&iext(uri_rdf_first,sk0_201,uri_ex_w3))&iext(uri_rdf_rest,sk0_201,uri_rdf_nil))&iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3))&iext(uri_rdf_first,sk0_200,uri_ex_w2))&iext(uri_rdf_rest,sk0_200,sk0_201))&iext(uri_rdf_first,sk0_199,uri_ex_w1))&iext(uri_rdf_rest,sk0_199,sk0_200))),
% 86.18/11.30 inference(skolemization,[status(esa)],[f2408])).
% 86.18/11.30 fof(f2410,plain,(
% 86.18/11.30 iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2411,plain,(
% 86.18/11.30 iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2412,plain,(
% 86.18/11.30 iext(uri_rdf_first,sk0_201,uri_ex_w3)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2413,plain,(
% 86.18/11.30 iext(uri_rdf_rest,sk0_201,uri_rdf_nil)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2414,plain,(
% 86.18/11.30 iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2415,plain,(
% 86.18/11.30 iext(uri_rdf_first,sk0_200,uri_ex_w2)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2416,plain,(
% 86.18/11.30 iext(uri_rdf_rest,sk0_200,sk0_201)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2417,plain,(
% 86.18/11.30 iext(uri_rdf_first,sk0_199,uri_ex_w1)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2418,plain,(
% 86.18/11.30 iext(uri_rdf_rest,sk0_199,sk0_200)),
% 86.18/11.30 inference(cnf_transformation,[status(esa)],[f2409])).
% 86.18/11.30 fof(f2521,plain,(
% 86.18/11.30 ![X0]: (~iext(uri_owl_differentFrom,X0,X0))),
% 86.18/11.30 inference(destructive_equality_resolution,[status(esa)],[f1751])).
% 86.18/11.30 fof(f2783,plain,(
% 86.18/11.30 spl0_23 <=> ~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,X1)|~iext(uri_rdf_first,X1,uri_ex_w2)|~iext(uri_rdf_rest,X1,sk0_201)|~iext(uri_rdf_type,X2,uri_owl_AllDifferent)|~iext(uri_owl_members,X2,X0)),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f2784,plain,(
% 86.18/11.30 ![X0,X1,X2]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,X1)|~iext(uri_rdf_first,X1,uri_ex_w2)|~iext(uri_rdf_rest,X1,sk0_201)|~iext(uri_rdf_type,X2,uri_owl_AllDifferent)|~iext(uri_owl_members,X2,X0)|~spl0_23)),
% 86.18/11.30 inference(component_clause,[status(thm)],[f2783])).
% 86.18/11.30 fof(f2786,plain,(
% 86.18/11.30 spl0_24 <=> iext(uri_rdf_rest,sk0_201,uri_rdf_nil)),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f2788,plain,(
% 86.18/11.30 ~iext(uri_rdf_rest,sk0_201,uri_rdf_nil)|spl0_24),
% 86.18/11.30 inference(component_clause,[status(thm)],[f2786])).
% 86.18/11.30 fof(f2789,plain,(
% 86.18/11.30 ![X0,X1,X2]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,X1)|~iext(uri_rdf_first,X1,uri_ex_w2)|~iext(uri_rdf_rest,X1,sk0_201)|~iext(uri_rdf_type,X2,uri_owl_AllDifferent)|~iext(uri_owl_members,X2,X0)|~iext(uri_rdf_rest,sk0_201,uri_rdf_nil))),
% 86.18/11.30 inference(resolution,[status(thm)],[f2412,f2407])).
% 86.18/11.30 fof(f2790,plain,(
% 86.18/11.30 spl0_23|~spl0_24),
% 86.18/11.30 inference(split_clause,[status(thm)],[f2789,f2783,f2786])).
% 86.18/11.30 fof(f2841,plain,(
% 86.18/11.30 $false|spl0_24),
% 86.18/11.30 inference(forward_subsumption_resolution,[status(thm)],[f2788,f2413])).
% 86.18/11.30 fof(f2842,plain,(
% 86.18/11.30 spl0_24),
% 86.18/11.30 inference(contradiction_clause,[status(thm)],[f2841])).
% 86.18/11.30 fof(f3053,plain,(
% 86.18/11.30 spl0_57 <=> ~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_type,X1,uri_owl_AllDifferent)|~iext(uri_owl_members,X1,X0)),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f3054,plain,(
% 86.18/11.30 ![X0,X1]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_type,X1,uri_owl_AllDifferent)|~iext(uri_owl_members,X1,X0)|~spl0_57)),
% 86.18/11.30 inference(component_clause,[status(thm)],[f3053])).
% 86.18/11.30 fof(f3056,plain,(
% 86.18/11.30 spl0_58 <=> iext(uri_rdf_rest,sk0_200,sk0_201)),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f3058,plain,(
% 86.18/11.30 ~iext(uri_rdf_rest,sk0_200,sk0_201)|spl0_58),
% 86.18/11.30 inference(component_clause,[status(thm)],[f3056])).
% 86.18/11.30 fof(f3059,plain,(
% 86.18/11.30 ![X0,X1]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_rest,sk0_200,sk0_201)|~iext(uri_rdf_type,X1,uri_owl_AllDifferent)|~iext(uri_owl_members,X1,X0)|~spl0_23)),
% 86.18/11.30 inference(resolution,[status(thm)],[f2415,f2784])).
% 86.18/11.30 fof(f3060,plain,(
% 86.18/11.30 spl0_57|~spl0_58|~spl0_23),
% 86.18/11.30 inference(split_clause,[status(thm)],[f3059,f3053,f3056,f2783])).
% 86.18/11.30 fof(f3128,plain,(
% 86.18/11.30 $false|spl0_58),
% 86.18/11.30 inference(forward_subsumption_resolution,[status(thm)],[f3058,f2416])).
% 86.18/11.30 fof(f3129,plain,(
% 86.18/11.30 spl0_58),
% 86.18/11.30 inference(contradiction_clause,[status(thm)],[f3128])).
% 86.18/11.30 fof(f3325,plain,(
% 86.18/11.30 spl0_93 <=> iext(uri_rdf_first,sk0_199,uri_ex_w1)),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f3327,plain,(
% 86.18/11.30 ~iext(uri_rdf_first,sk0_199,uri_ex_w1)|spl0_93),
% 86.18/11.30 inference(component_clause,[status(thm)],[f3325])).
% 86.18/11.30 fof(f3390,plain,(
% 86.18/11.30 $false|spl0_93),
% 86.18/11.30 inference(forward_subsumption_resolution,[status(thm)],[f3327,f2417])).
% 86.18/11.30 fof(f3391,plain,(
% 86.18/11.30 spl0_93),
% 86.18/11.30 inference(contradiction_clause,[status(thm)],[f3390])).
% 86.18/11.30 fof(f7975,plain,(
% 86.18/11.30 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_type,sk0_135(X0),uri_owl_AllDifferent)|~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,X4)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|X1=X3|X1=X5|X3=X5|~spl0_57)),
% 86.18/11.30 inference(resolution,[status(thm)],[f3054,f1881])).
% 86.18/11.30 fof(f8069,plain,(
% 86.18/11.30 ![X0,X1,X2,X3,X4,X5]: (~icext(uri_owl_AllDifferent,sk0_135(X0))|~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,X4)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|X1=X3|X1=X5|X3=X5|~spl0_57)),
% 86.18/11.30 inference(resolution,[status(thm)],[f595,f7975])).
% 86.18/11.30 fof(f8070,plain,(
% 86.18/11.30 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,X0,uri_ex_w1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,X4)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|X1=X3|X1=X5|X3=X5|~spl0_57)),
% 86.18/11.30 inference(forward_subsumption_resolution,[status(thm)],[f8069,f1880])).
% 86.18/11.30 fof(f8318,plain,(
% 86.18/11.30 spl0_771 <=> ~iext(uri_rdf_first,sk0_199,X1)|~iext(uri_rdf_first,sk0_200,X2)|~iext(uri_rdf_rest,sk0_200,X3)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,uri_rdf_nil)|X1=X2|X1=X4|X2=X4),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f8319,plain,(
% 86.18/11.30 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,sk0_199,X0)|~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_rdf_rest,sk0_200,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|X0=X1|X0=X3|X1=X3|~spl0_771)),
% 86.18/11.30 inference(component_clause,[status(thm)],[f8318])).
% 86.18/11.30 fof(f8840,plain,(
% 86.18/11.30 spl0_805 <=> ~iext(uri_rdf_first,sk0_199,X0)|~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_rdf_first,sk0_201,X2)|X0=X1|X0=X2|X1=X2),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f8841,plain,(
% 86.18/11.30 ![X0,X1,X2]: (~iext(uri_rdf_first,sk0_199,X0)|~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_rdf_first,sk0_201,X2)|X0=X1|X0=X2|X1=X2|~spl0_805)),
% 86.18/11.30 inference(component_clause,[status(thm)],[f8840])).
% 86.18/11.30 fof(f8843,plain,(
% 86.18/11.30 ![X0,X1,X2]: (~iext(uri_rdf_first,sk0_199,X0)|~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_rdf_first,sk0_201,X2)|~iext(uri_rdf_rest,sk0_201,uri_rdf_nil)|X0=X1|X0=X2|X1=X2|~spl0_771)),
% 86.18/11.30 inference(resolution,[status(thm)],[f8319,f2416])).
% 86.18/11.30 fof(f8844,plain,(
% 86.18/11.30 spl0_805|~spl0_24|~spl0_771),
% 86.18/11.30 inference(split_clause,[status(thm)],[f8843,f8840,f2786,f8318])).
% 86.18/11.30 fof(f8966,plain,(
% 86.18/11.30 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,sk0_199,uri_ex_w1)|~iext(uri_rdf_first,sk0_199,X0)|~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_rdf_rest,sk0_200,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|X0=X1|X0=X3|X1=X3|~spl0_57)),
% 86.18/11.30 inference(resolution,[status(thm)],[f8070,f2418])).
% 86.18/11.30 fof(f8967,plain,(
% 86.18/11.30 ~spl0_93|spl0_771|~spl0_57),
% 86.18/11.30 inference(split_clause,[status(thm)],[f8966,f3325,f8318,f3053])).
% 86.18/11.30 fof(f13770,plain,(
% 86.18/11.30 ![X0,X1]: (~iext(uri_rdf_first,sk0_199,X0)|~iext(uri_rdf_first,sk0_201,X1)|X0=uri_ex_w2|X0=X1|uri_ex_w2=X1|~spl0_805)),
% 86.18/11.30 inference(resolution,[status(thm)],[f8841,f2415])).
% 86.18/11.30 fof(f13782,plain,(
% 86.18/11.30 spl0_1214 <=> ~iext(uri_rdf_first,sk0_199,X0)|X0=uri_ex_w2|X0=uri_ex_w3),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f13783,plain,(
% 86.18/11.30 ![X0]: (~iext(uri_rdf_first,sk0_199,X0)|X0=uri_ex_w2|X0=uri_ex_w3|~spl0_1214)),
% 86.18/11.30 inference(component_clause,[status(thm)],[f13782])).
% 86.18/11.30 fof(f13785,plain,(
% 86.18/11.30 spl0_1215 <=> uri_ex_w2=uri_ex_w3),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f13786,plain,(
% 86.18/11.30 uri_ex_w2=uri_ex_w3|~spl0_1215),
% 86.18/11.30 inference(component_clause,[status(thm)],[f13785])).
% 86.18/11.30 fof(f13788,plain,(
% 86.18/11.30 ![X0]: (~iext(uri_rdf_first,sk0_199,X0)|X0=uri_ex_w2|X0=uri_ex_w3|uri_ex_w2=uri_ex_w3|~spl0_805)),
% 86.18/11.30 inference(resolution,[status(thm)],[f13770,f2412])).
% 86.18/11.30 fof(f13789,plain,(
% 86.18/11.30 spl0_1214|spl0_1215|~spl0_805),
% 86.18/11.30 inference(split_clause,[status(thm)],[f13788,f13782,f13785,f8840])).
% 86.18/11.30 fof(f13798,plain,(
% 86.18/11.30 spl0_1218 <=> uri_ex_w1=uri_ex_w2),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f13799,plain,(
% 86.18/11.30 uri_ex_w1=uri_ex_w2|~spl0_1218),
% 86.18/11.30 inference(component_clause,[status(thm)],[f13798])).
% 86.18/11.30 fof(f13801,plain,(
% 86.18/11.30 spl0_1219 <=> uri_ex_w1=uri_ex_w3),
% 86.18/11.30 introduced(split_symbol_definition)).
% 86.18/11.30 fof(f13802,plain,(
% 86.18/11.30 uri_ex_w1=uri_ex_w3|~spl0_1219),
% 86.18/11.30 inference(component_clause,[status(thm)],[f13801])).
% 86.18/11.30 fof(f13804,plain,(
% 86.18/11.30 uri_ex_w1=uri_ex_w2|uri_ex_w1=uri_ex_w3|~spl0_1214),
% 86.18/11.30 inference(resolution,[status(thm)],[f13783,f2417])).
% 86.18/11.30 fof(f13805,plain,(
% 86.18/11.30 spl0_1218|spl0_1219|~spl0_1214),
% 86.18/11.30 inference(split_clause,[status(thm)],[f13804,f13798,f13801,f13782])).
% 86.18/11.30 fof(f13854,plain,(
% 86.18/11.30 iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1)|~spl0_1218),
% 86.18/11.30 inference(backward_demodulation,[status(thm)],[f13799,f2410])).
% 86.18/11.30 fof(f13855,plain,(
% 86.18/11.30 $false|~spl0_1218),
% 86.18/11.30 inference(forward_subsumption_resolution,[status(thm)],[f13854,f2521])).
% 86.18/11.30 fof(f13856,plain,(
% 86.18/11.30 ~spl0_1218),
% 86.18/11.30 inference(contradiction_clause,[status(thm)],[f13855])).
% 86.18/11.30 fof(f13867,plain,(
% 86.18/11.30 iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1)|~spl0_1219),
% 86.18/11.30 inference(backward_demodulation,[status(thm)],[f13802,f2411])).
% 86.18/11.30 fof(f13868,plain,(
% 86.18/11.30 $false|~spl0_1219),
% 86.18/11.30 inference(forward_subsumption_resolution,[status(thm)],[f13867,f2521])).
% 86.18/11.30 fof(f13869,plain,(
% 86.18/11.30 ~spl0_1219),
% 86.18/11.30 inference(contradiction_clause,[status(thm)],[f13868])).
% 86.18/11.30 fof(f13872,plain,(
% 86.18/11.30 iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w2)|~spl0_1215),
% 86.18/11.32 inference(backward_demodulation,[status(thm)],[f13786,f2414])).
% 86.18/11.32 fof(f13873,plain,(
% 86.18/11.32 $false|~spl0_1215),
% 86.18/11.32 inference(forward_subsumption_resolution,[status(thm)],[f13872,f2521])).
% 86.18/11.32 fof(f13874,plain,(
% 86.18/11.32 ~spl0_1215),
% 86.18/11.32 inference(contradiction_clause,[status(thm)],[f13873])).
% 86.18/11.32 fof(f13875,plain,(
% 86.18/11.32 $false),
% 86.18/11.32 inference(sat_refutation,[status(thm)],[f2790,f2842,f3060,f3129,f3391,f8844,f8967,f13789,f13805,f13856,f13869,f13874])).
% 86.18/11.32 % SZS output end CNFRefutation for theBenchmark.p
% 86.72/11.34 % Elapsed time: 11.022657 seconds
% 86.72/11.34 % CPU time: 86.715366 seconds
% 86.72/11.34 % Memory used: 279.477 MB
%------------------------------------------------------------------------------