TSTP Solution File: SWB014+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB014+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:38:34 EDT 2023
% Result : Theorem 29.91s 4.17s
% Output : CNFRefutation 30.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB014+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:38:32 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 29.91/4.17 % Refutation found
% 29.91/4.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 29.91/4.17 % SZS output start CNFRefutation for theBenchmark
% 29.91/4.17 fof(f25,axiom,(
% 29.91/4.17 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 29.91/4.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.91/4.17 fof(f289,axiom,(
% 29.91/4.17 (! [Z,S1,C1,S2,C2] :( ( iext(uri_rdf_first,S1,C1)& iext(uri_rdf_rest,S1,S2)& iext(uri_rdf_first,S2,C2)& iext(uri_rdf_rest,S2,uri_rdf_nil) )=> ( iext(uri_owl_unionOf,Z,S1)<=> ( ic(Z)& ic(C1)& ic(C2)& (! [X] :( icext(Z,X)<=> ( icext(C1,X)| icext(C2,X) ) ) )) ) ) )),
% 29.91/4.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.91/4.17 fof(f559,conjecture,(
% 29.91/4.17 (? [BNODE_x] :( iext(uri_rdf_type,uri_ex_harry,BNODE_x)& iext(uri_rdf_type,BNODE_x,uri_ex_Species) ) )),
% 29.91/4.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.91/4.17 fof(f560,negated_conjecture,(
% 29.91/4.17 ~((? [BNODE_x] :( iext(uri_rdf_type,uri_ex_harry,BNODE_x)& iext(uri_rdf_type,BNODE_x,uri_ex_Species) ) ))),
% 29.91/4.17 inference(negated_conjecture,[status(cth)],[f559])).
% 29.91/4.17 fof(f561,axiom,(
% 29.91/4.17 (? [BNODE_u,BNODE_l1,BNODE_l2] :( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)& iext(uri_rdf_type,uri_ex_harry,BNODE_u)& iext(uri_owl_unionOf,BNODE_u,BNODE_l1)& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ) )),
% 29.91/4.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.91/4.17 fof(f592,plain,(
% 29.91/4.17 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 29.91/4.17 inference(NNF_transformation,[status(esa)],[f25])).
% 29.91/4.17 fof(f593,plain,(
% 29.91/4.17 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 29.91/4.17 inference(miniscoping,[status(esa)],[f592])).
% 29.91/4.17 fof(f594,plain,(
% 29.91/4.17 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f593])).
% 29.91/4.17 fof(f595,plain,(
% 29.91/4.17 ![X0,X1]: (iext(uri_rdf_type,X0,X1)|~icext(X1,X0))),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f593])).
% 29.91/4.17 fof(f1169,plain,(
% 29.91/4.17 ![Z,S1,C1,S2,C2]: ((((~iext(uri_rdf_first,S1,C1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,C2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|(iext(uri_owl_unionOf,Z,S1)<=>(((ic(Z)&ic(C1))&ic(C2))&(![X]: (icext(Z,X)<=>(icext(C1,X)|icext(C2,X)))))))),
% 29.91/4.17 inference(pre_NNF_transformation,[status(esa)],[f289])).
% 29.91/4.17 fof(f1170,plain,(
% 29.91/4.17 ![Z,S1,C1,S2,C2]: ((((~iext(uri_rdf_first,S1,C1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,C2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|((~iext(uri_owl_unionOf,Z,S1)|(((ic(Z)&ic(C1))&ic(C2))&(![X]: ((~icext(Z,X)|(icext(C1,X)|icext(C2,X)))&(icext(Z,X)|(~icext(C1,X)&~icext(C2,X)))))))&(iext(uri_owl_unionOf,Z,S1)|(((~ic(Z)|~ic(C1))|~ic(C2))|(?[X]: ((~icext(Z,X)|(~icext(C1,X)&~icext(C2,X)))&(icext(Z,X)|(icext(C1,X)|icext(C2,X)))))))))),
% 29.91/4.17 inference(NNF_transformation,[status(esa)],[f1169])).
% 29.91/4.17 fof(f1171,plain,(
% 29.91/4.17 ![S1,C1,C2]: ((![S2]: (((~iext(uri_rdf_first,S1,C1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,C2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![Z]: (~iext(uri_owl_unionOf,Z,S1)|(((ic(Z)&ic(C1))&ic(C2))&((![X]: (~icext(Z,X)|(icext(C1,X)|icext(C2,X))))&(![X]: (icext(Z,X)|(~icext(C1,X)&~icext(C2,X))))))))&(![Z]: (iext(uri_owl_unionOf,Z,S1)|(((~ic(Z)|~ic(C1))|~ic(C2))|(?[X]: ((~icext(Z,X)|(~icext(C1,X)&~icext(C2,X)))&(icext(Z,X)|(icext(C1,X)|icext(C2,X))))))))))),
% 29.91/4.17 inference(miniscoping,[status(esa)],[f1170])).
% 29.91/4.17 fof(f1172,plain,(
% 29.91/4.17 ![S1,C1,C2]: ((![S2]: (((~iext(uri_rdf_first,S1,C1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,C2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![Z]: (~iext(uri_owl_unionOf,Z,S1)|(((ic(Z)&ic(C1))&ic(C2))&((![X]: (~icext(Z,X)|(icext(C1,X)|icext(C2,X))))&(![X]: (icext(Z,X)|(~icext(C1,X)&~icext(C2,X))))))))&(![Z]: (iext(uri_owl_unionOf,Z,S1)|(((~ic(Z)|~ic(C1))|~ic(C2))|((~icext(Z,sk0_7(Z,C2,C1,S1))|(~icext(C1,sk0_7(Z,C2,C1,S1))&~icext(C2,sk0_7(Z,C2,C1,S1))))&(icext(Z,sk0_7(Z,C2,C1,S1))|(icext(C1,sk0_7(Z,C2,C1,S1))|icext(C2,sk0_7(Z,C2,C1,S1))))))))))),
% 29.91/4.17 inference(skolemization,[status(esa)],[f1171])).
% 29.91/4.17 fof(f1176,plain,(
% 29.91/4.17 ![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,uri_rdf_nil)|~iext(uri_owl_unionOf,X4,X0)|~icext(X4,X5)|icext(X1,X5)|icext(X3,X5))),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f1172])).
% 29.91/4.17 fof(f2405,plain,(
% 29.91/4.17 (![BNODE_x]: (~iext(uri_rdf_type,uri_ex_harry,BNODE_x)|~iext(uri_rdf_type,BNODE_x,uri_ex_Species)))),
% 29.91/4.17 inference(pre_NNF_transformation,[status(esa)],[f560])).
% 29.91/4.17 fof(f2406,plain,(
% 29.91/4.17 ![X0]: (~iext(uri_rdf_type,uri_ex_harry,X0)|~iext(uri_rdf_type,X0,uri_ex_Species))),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2405])).
% 29.91/4.17 fof(f2407,plain,(
% 29.91/4.17 ?[BNODE_l2]: (((?[BNODE_l1]: (((?[BNODE_u]: (((iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)&iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species))&iext(uri_rdf_type,uri_ex_harry,BNODE_u))&iext(uri_owl_unionOf,BNODE_u,BNODE_l1)))&iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle))&iext(uri_rdf_rest,BNODE_l1,BNODE_l2)))&iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon))&iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil))),
% 29.91/4.17 inference(miniscoping,[status(esa)],[f561])).
% 29.91/4.17 fof(f2408,plain,(
% 29.91/4.17 (((((((iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)&iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species))&iext(uri_rdf_type,uri_ex_harry,sk0_201))&iext(uri_owl_unionOf,sk0_201,sk0_200))&iext(uri_rdf_first,sk0_200,uri_ex_Eagle))&iext(uri_rdf_rest,sk0_200,sk0_199))&iext(uri_rdf_first,sk0_199,uri_ex_Falcon))&iext(uri_rdf_rest,sk0_199,uri_rdf_nil))),
% 29.91/4.17 inference(skolemization,[status(esa)],[f2407])).
% 29.91/4.17 fof(f2409,plain,(
% 29.91/4.17 iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2410,plain,(
% 29.91/4.17 iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2411,plain,(
% 29.91/4.17 iext(uri_rdf_type,uri_ex_harry,sk0_201)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2412,plain,(
% 29.91/4.17 iext(uri_owl_unionOf,sk0_201,sk0_200)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2413,plain,(
% 29.91/4.17 iext(uri_rdf_first,sk0_200,uri_ex_Eagle)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2414,plain,(
% 29.91/4.17 iext(uri_rdf_rest,sk0_200,sk0_199)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2415,plain,(
% 29.91/4.17 iext(uri_rdf_first,sk0_199,uri_ex_Falcon)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2416,plain,(
% 29.91/4.17 iext(uri_rdf_rest,sk0_199,uri_rdf_nil)),
% 29.91/4.17 inference(cnf_transformation,[status(esa)],[f2408])).
% 29.91/4.17 fof(f2552,plain,(
% 29.91/4.17 icext(sk0_201,uri_ex_harry)),
% 29.91/4.17 inference(resolution,[status(thm)],[f594,f2411])).
% 29.91/4.17 fof(f2554,plain,(
% 29.91/4.17 ![X0]: (~icext(X0,uri_ex_harry)|~iext(uri_rdf_type,X0,uri_ex_Species))),
% 29.91/4.17 inference(resolution,[status(thm)],[f595,f2406])).
% 29.91/4.17 fof(f3686,plain,(
% 29.91/4.17 ~icext(uri_ex_Eagle,uri_ex_harry)),
% 29.91/4.17 inference(resolution,[status(thm)],[f2409,f2554])).
% 29.91/4.17 fof(f3700,plain,(
% 29.91/4.17 ~icext(uri_ex_Falcon,uri_ex_harry)),
% 29.91/4.17 inference(resolution,[status(thm)],[f2410,f2554])).
% 29.91/4.17 fof(f4722,plain,(
% 29.91/4.17 spl0_239 <=> iext(uri_rdf_rest,sk0_199,uri_rdf_nil)),
% 29.91/4.17 introduced(split_symbol_definition)).
% 29.91/4.17 fof(f4724,plain,(
% 29.91/4.17 ~iext(uri_rdf_rest,sk0_199,uri_rdf_nil)|spl0_239),
% 29.91/4.17 inference(component_clause,[status(thm)],[f4722])).
% 29.91/4.17 fof(f4767,plain,(
% 29.91/4.17 $false|spl0_239),
% 29.91/4.17 inference(forward_subsumption_resolution,[status(thm)],[f4724,f2416])).
% 29.91/4.17 fof(f4768,plain,(
% 29.91/4.17 spl0_239),
% 29.91/4.17 inference(contradiction_clause,[status(thm)],[f4767])).
% 29.91/4.17 fof(f5012,plain,(
% 29.91/4.17 spl0_279 <=> ~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_199)|~iext(uri_owl_unionOf,X2,X0)|~icext(X2,X3)|icext(X1,X3)|icext(uri_ex_Falcon,X3)),
% 29.91/4.17 introduced(split_symbol_definition)).
% 29.91/4.17 fof(f5013,plain,(
% 29.91/4.17 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_199)|~iext(uri_owl_unionOf,X2,X0)|~icext(X2,X3)|icext(X1,X3)|icext(uri_ex_Falcon,X3)|~spl0_279)),
% 29.91/4.17 inference(component_clause,[status(thm)],[f5012])).
% 29.91/4.17 fof(f5015,plain,(
% 29.91/4.17 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_199)|~iext(uri_rdf_rest,sk0_199,uri_rdf_nil)|~iext(uri_owl_unionOf,X2,X0)|~icext(X2,X3)|icext(X1,X3)|icext(uri_ex_Falcon,X3))),
% 29.91/4.17 inference(resolution,[status(thm)],[f1176,f2415])).
% 29.91/4.17 fof(f5016,plain,(
% 29.91/4.17 spl0_279|~spl0_239),
% 29.91/4.17 inference(split_clause,[status(thm)],[f5015,f5012,f4722])).
% 29.91/4.18 fof(f5231,plain,(
% 29.91/4.18 spl0_307 <=> iext(uri_rdf_rest,sk0_200,sk0_199)),
% 29.91/4.18 introduced(split_symbol_definition)).
% 29.91/4.18 fof(f5233,plain,(
% 29.91/4.18 ~iext(uri_rdf_rest,sk0_200,sk0_199)|spl0_307),
% 29.91/4.18 inference(component_clause,[status(thm)],[f5231])).
% 29.91/4.18 fof(f5241,plain,(
% 29.91/4.18 $false|spl0_307),
% 29.91/4.18 inference(forward_subsumption_resolution,[status(thm)],[f5233,f2414])).
% 29.91/4.18 fof(f5242,plain,(
% 29.91/4.18 spl0_307),
% 29.91/4.18 inference(contradiction_clause,[status(thm)],[f5241])).
% 29.91/4.18 fof(f5429,plain,(
% 29.91/4.18 spl0_342 <=> ~iext(uri_rdf_first,sk0_200,X0)|~icext(sk0_201,X1)|icext(X0,X1)|icext(uri_ex_Falcon,X1)),
% 29.91/4.18 introduced(split_symbol_definition)).
% 29.91/4.18 fof(f5430,plain,(
% 29.91/4.18 ![X0,X1]: (~iext(uri_rdf_first,sk0_200,X0)|~icext(sk0_201,X1)|icext(X0,X1)|icext(uri_ex_Falcon,X1)|~spl0_342)),
% 29.91/4.18 inference(component_clause,[status(thm)],[f5429])).
% 29.91/4.18 fof(f5432,plain,(
% 29.91/4.18 ![X0,X1]: (~iext(uri_rdf_first,sk0_200,X0)|~iext(uri_rdf_rest,sk0_200,sk0_199)|~icext(sk0_201,X1)|icext(X0,X1)|icext(uri_ex_Falcon,X1)|~spl0_279)),
% 29.91/4.18 inference(resolution,[status(thm)],[f5013,f2412])).
% 30.16/4.18 fof(f5433,plain,(
% 30.16/4.18 spl0_342|~spl0_307|~spl0_279),
% 30.16/4.18 inference(split_clause,[status(thm)],[f5432,f5429,f5231,f5012])).
% 30.16/4.18 fof(f5439,plain,(
% 30.16/4.18 ![X0]: (~icext(sk0_201,X0)|icext(uri_ex_Eagle,X0)|icext(uri_ex_Falcon,X0)|~spl0_342)),
% 30.16/4.18 inference(resolution,[status(thm)],[f5430,f2413])).
% 30.16/4.18 fof(f5445,plain,(
% 30.16/4.18 spl0_345 <=> icext(uri_ex_Eagle,uri_ex_harry)),
% 30.16/4.18 introduced(split_symbol_definition)).
% 30.16/4.18 fof(f5446,plain,(
% 30.16/4.18 icext(uri_ex_Eagle,uri_ex_harry)|~spl0_345),
% 30.16/4.18 inference(component_clause,[status(thm)],[f5445])).
% 30.16/4.18 fof(f5448,plain,(
% 30.16/4.18 spl0_346 <=> icext(uri_ex_Falcon,uri_ex_harry)),
% 30.16/4.18 introduced(split_symbol_definition)).
% 30.16/4.18 fof(f5449,plain,(
% 30.16/4.18 icext(uri_ex_Falcon,uri_ex_harry)|~spl0_346),
% 30.16/4.18 inference(component_clause,[status(thm)],[f5448])).
% 30.16/4.18 fof(f5451,plain,(
% 30.16/4.18 icext(uri_ex_Eagle,uri_ex_harry)|icext(uri_ex_Falcon,uri_ex_harry)|~spl0_342),
% 30.16/4.18 inference(resolution,[status(thm)],[f5439,f2552])).
% 30.16/4.18 fof(f5452,plain,(
% 30.16/4.18 spl0_345|spl0_346|~spl0_342),
% 30.16/4.18 inference(split_clause,[status(thm)],[f5451,f5445,f5448,f5429])).
% 30.16/4.18 fof(f5453,plain,(
% 30.16/4.18 $false|~spl0_345),
% 30.16/4.18 inference(forward_subsumption_resolution,[status(thm)],[f5446,f3686])).
% 30.16/4.18 fof(f5454,plain,(
% 30.16/4.18 ~spl0_345),
% 30.16/4.18 inference(contradiction_clause,[status(thm)],[f5453])).
% 30.16/4.18 fof(f5455,plain,(
% 30.16/4.18 $false|~spl0_346),
% 30.16/4.18 inference(forward_subsumption_resolution,[status(thm)],[f5449,f3700])).
% 30.16/4.18 fof(f5456,plain,(
% 30.16/4.18 ~spl0_346),
% 30.16/4.18 inference(contradiction_clause,[status(thm)],[f5455])).
% 30.16/4.18 fof(f5457,plain,(
% 30.16/4.18 $false),
% 30.16/4.18 inference(sat_refutation,[status(thm)],[f4768,f5016,f5242,f5433,f5452,f5454,f5456])).
% 30.16/4.18 % SZS output end CNFRefutation for theBenchmark.p
% 30.48/4.24 % Elapsed time: 3.915989 seconds
% 30.48/4.24 % CPU time: 30.448592 seconds
% 30.48/4.24 % Memory used: 208.810 MB
%------------------------------------------------------------------------------