TSTP Solution File: SWB029+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB029+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:38:40 EDT 2023
% Result : Theorem 28.16s 4.04s
% Output : CNFRefutation 28.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SWB029+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:57:28 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 28.16/4.04 % Refutation found
% 28.16/4.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 28.16/4.04 % SZS output start CNFRefutation for theBenchmark
% 28.16/4.04 fof(f25,axiom,(
% 28.16/4.04 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 28.16/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.16/4.04 fof(f278,axiom,(
% 28.16/4.04 (! [Z,C] :( iext(uri_owl_complementOf,Z,C)=> ( ic(Z)& ic(C)& (! [X] :( icext(Z,X)<=> ~ icext(C,X) ) )) ) )),
% 28.16/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.16/4.04 fof(f282,axiom,(
% 28.16/4.04 (! [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_intersectionOf,Z,S1)<=> ( ic(Z)& ic(C1)& ic(C2)& (! [X] :( icext(Z,X)<=> ( icext(C1,X)& icext(C2,X) ) ) )) ) ) )),
% 28.16/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.16/4.04 fof(f561,axiom,(
% 28.16/4.04 (? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)& iext(uri_rdf_type,uri_ex_w,BNODE_x)& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)& iext(uri_rdf_first,BNODE_l1,uri_ex_A)& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)& iext(uri_rdf_first,BNODE_l2,BNODE_y)& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)& iext(uri_owl_complementOf,BNODE_y,uri_ex_A) ) )),
% 28.16/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.16/4.04 fof(f592,plain,(
% 28.16/4.04 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 28.16/4.04 inference(NNF_transformation,[status(esa)],[f25])).
% 28.16/4.04 fof(f593,plain,(
% 28.16/4.04 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 28.16/4.04 inference(miniscoping,[status(esa)],[f592])).
% 28.16/4.04 fof(f594,plain,(
% 28.16/4.04 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 28.16/4.04 inference(cnf_transformation,[status(esa)],[f593])).
% 28.16/4.04 fof(f1086,plain,(
% 28.16/4.04 ![Z,C]: (~iext(uri_owl_complementOf,Z,C)|((ic(Z)&ic(C))&(![X]: (icext(Z,X)<=>~icext(C,X)))))),
% 28.16/4.04 inference(pre_NNF_transformation,[status(esa)],[f278])).
% 28.16/4.04 fof(f1087,plain,(
% 28.16/4.04 ![Z,C]: (~iext(uri_owl_complementOf,Z,C)|((ic(Z)&ic(C))&(![X]: ((~icext(Z,X)|~icext(C,X))&(icext(Z,X)|icext(C,X))))))),
% 28.16/4.04 inference(NNF_transformation,[status(esa)],[f1086])).
% 28.16/4.04 fof(f1088,plain,(
% 28.16/4.04 ![Z,C]: (~iext(uri_owl_complementOf,Z,C)|((ic(Z)&ic(C))&((![X]: (~icext(Z,X)|~icext(C,X)))&(![X]: (icext(Z,X)|icext(C,X))))))),
% 28.16/4.04 inference(miniscoping,[status(esa)],[f1087])).
% 28.16/4.04 fof(f1091,plain,(
% 28.16/4.04 ![X0,X1,X2]: (~iext(uri_owl_complementOf,X0,X1)|~icext(X0,X2)|~icext(X1,X2))),
% 28.16/4.04 inference(cnf_transformation,[status(esa)],[f1088])).
% 28.16/4.04 fof(f1117,plain,(
% 28.16/4.04 ![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_intersectionOf,Z,S1)<=>(((ic(Z)&ic(C1))&ic(C2))&(![X]: (icext(Z,X)<=>(icext(C1,X)&icext(C2,X)))))))),
% 28.16/4.04 inference(pre_NNF_transformation,[status(esa)],[f282])).
% 28.16/4.04 fof(f1118,plain,(
% 28.16/4.04 ![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_intersectionOf,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_intersectionOf,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)))))))))),
% 28.16/4.04 inference(NNF_transformation,[status(esa)],[f1117])).
% 28.16/4.04 fof(f1119,plain,(
% 28.16/4.04 ![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_intersectionOf,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_intersectionOf,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))))))))))),
% 28.16/4.04 inference(miniscoping,[status(esa)],[f1118])).
% 28.16/4.04 fof(f1120,plain,(
% 28.16/4.04 ![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_intersectionOf,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_intersectionOf,Z,S1)|(((~ic(Z)|~ic(C1))|~ic(C2))|((~icext(Z,sk0_3(Z,C2,C1,S1))|(~icext(C1,sk0_3(Z,C2,C1,S1))|~icext(C2,sk0_3(Z,C2,C1,S1))))&(icext(Z,sk0_3(Z,C2,C1,S1))|(icext(C1,sk0_3(Z,C2,C1,S1))&icext(C2,sk0_3(Z,C2,C1,S1))))))))))),
% 28.16/4.06 inference(skolemization,[status(esa)],[f1119])).
% 28.16/4.06 fof(f1124,plain,(
% 28.16/4.06 ![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_intersectionOf,X4,X0)|~icext(X4,X5)|icext(X1,X5))),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f1120])).
% 28.16/4.06 fof(f1125,plain,(
% 28.16/4.06 ![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_intersectionOf,X4,X0)|~icext(X4,X5)|icext(X3,X5))),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f1120])).
% 28.16/4.06 fof(f2406,plain,(
% 28.16/4.06 ?[BNODE_y]: ((?[BNODE_l2]: (((?[BNODE_l1]: (((?[BNODE_x]: (((iext(uri_rdf_type,uri_ex_A,uri_owl_Class)&iext(uri_rdf_type,uri_ex_B,uri_owl_Class))&iext(uri_rdf_type,uri_ex_w,BNODE_x))&iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)))&iext(uri_rdf_first,BNODE_l1,uri_ex_A))&iext(uri_rdf_rest,BNODE_l1,BNODE_l2)))&iext(uri_rdf_first,BNODE_l2,BNODE_y))&iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)))&iext(uri_owl_complementOf,BNODE_y,uri_ex_A))),
% 28.16/4.06 inference(miniscoping,[status(esa)],[f561])).
% 28.16/4.06 fof(f2407,plain,(
% 28.16/4.06 ((((((((iext(uri_rdf_type,uri_ex_A,uri_owl_Class)&iext(uri_rdf_type,uri_ex_B,uri_owl_Class))&iext(uri_rdf_type,uri_ex_w,sk0_202))&iext(uri_owl_intersectionOf,sk0_202,sk0_201))&iext(uri_rdf_first,sk0_201,uri_ex_A))&iext(uri_rdf_rest,sk0_201,sk0_200))&iext(uri_rdf_first,sk0_200,sk0_199))&iext(uri_rdf_rest,sk0_200,uri_rdf_nil))&iext(uri_owl_complementOf,sk0_199,uri_ex_A))),
% 28.16/4.06 inference(skolemization,[status(esa)],[f2406])).
% 28.16/4.06 fof(f2410,plain,(
% 28.16/4.06 iext(uri_rdf_type,uri_ex_w,sk0_202)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2411,plain,(
% 28.16/4.06 iext(uri_owl_intersectionOf,sk0_202,sk0_201)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2412,plain,(
% 28.16/4.06 iext(uri_rdf_first,sk0_201,uri_ex_A)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2413,plain,(
% 28.16/4.06 iext(uri_rdf_rest,sk0_201,sk0_200)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2414,plain,(
% 28.16/4.06 iext(uri_rdf_first,sk0_200,sk0_199)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2415,plain,(
% 28.16/4.06 iext(uri_rdf_rest,sk0_200,uri_rdf_nil)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2416,plain,(
% 28.16/4.06 iext(uri_owl_complementOf,sk0_199,uri_ex_A)),
% 28.16/4.06 inference(cnf_transformation,[status(esa)],[f2407])).
% 28.16/4.06 fof(f2536,plain,(
% 28.16/4.06 icext(sk0_202,uri_ex_w)),
% 28.16/4.06 inference(resolution,[status(thm)],[f594,f2410])).
% 28.16/4.06 fof(f2799,plain,(
% 28.16/4.06 ![X0]: (~icext(sk0_199,X0)|~icext(uri_ex_A,X0))),
% 28.16/4.06 inference(resolution,[status(thm)],[f1091,f2416])).
% 28.16/4.06 fof(f6651,plain,(
% 28.16/4.06 spl0_767 <=> ~iext(uri_rdf_first,sk0_200,X2)),
% 28.16/4.06 introduced(split_symbol_definition)).
% 28.16/4.06 fof(f6652,plain,(
% 28.16/4.06 ![X0]: (~iext(uri_rdf_first,sk0_200,X0)|~spl0_767)),
% 28.16/4.06 inference(component_clause,[status(thm)],[f6651])).
% 28.16/4.06 fof(f6664,plain,(
% 28.16/4.06 $false|~spl0_767),
% 28.16/4.06 inference(backward_subsumption_resolution,[status(thm)],[f2414,f6652])).
% 28.16/4.06 fof(f6665,plain,(
% 28.16/4.06 ~spl0_767),
% 28.16/4.06 inference(contradiction_clause,[status(thm)],[f6664])).
% 28.16/4.06 fof(f6687,plain,(
% 28.16/4.06 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_first,sk0_200,X2)|~iext(uri_owl_intersectionOf,X3,X0)|~icext(X3,X4)|icext(X2,X4))),
% 28.16/4.06 inference(resolution,[status(thm)],[f1125,f2415])).
% 28.16/4.06 fof(f6688,plain,(
% 28.16/4.06 spl0_773 <=> ~iext(uri_rdf_first,sk0_201,X0)),
% 28.16/4.06 introduced(split_symbol_definition)).
% 28.16/4.06 fof(f6689,plain,(
% 28.16/4.06 ![X0]: (~iext(uri_rdf_first,sk0_201,X0)|~spl0_773)),
% 28.16/4.06 inference(component_clause,[status(thm)],[f6688])).
% 28.16/4.06 fof(f6691,plain,(
% 28.16/4.06 spl0_774 <=> ~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_owl_intersectionOf,X2,sk0_201)|~icext(X2,X3)|icext(X1,X3)),
% 28.16/4.06 introduced(split_symbol_definition)).
% 28.16/4.06 fof(f6692,plain,(
% 28.16/4.07 ![X0,X1,X2]: (~iext(uri_rdf_first,sk0_200,X0)|~iext(uri_owl_intersectionOf,X1,sk0_201)|~icext(X1,X2)|icext(X0,X2)|~spl0_774)),
% 28.16/4.07 inference(component_clause,[status(thm)],[f6691])).
% 28.16/4.07 fof(f6694,plain,(
% 28.16/4.07 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,sk0_201,X0)|~iext(uri_rdf_first,sk0_200,X1)|~iext(uri_owl_intersectionOf,X2,sk0_201)|~icext(X2,X3)|icext(X1,X3))),
% 28.16/4.07 inference(resolution,[status(thm)],[f6687,f2413])).
% 28.16/4.07 fof(f6695,plain,(
% 28.16/4.07 spl0_773|spl0_774),
% 28.16/4.07 inference(split_clause,[status(thm)],[f6694,f6688,f6691])).
% 28.16/4.07 fof(f6696,plain,(
% 28.16/4.07 $false|~spl0_773),
% 28.16/4.07 inference(backward_subsumption_resolution,[status(thm)],[f2412,f6689])).
% 28.16/4.07 fof(f6697,plain,(
% 28.16/4.07 ~spl0_773),
% 28.16/4.07 inference(contradiction_clause,[status(thm)],[f6696])).
% 28.16/4.07 fof(f6701,plain,(
% 28.16/4.07 ![X0,X1]: (~iext(uri_rdf_first,sk0_200,X0)|~icext(sk0_202,X1)|icext(X0,X1)|~spl0_774)),
% 28.16/4.07 inference(resolution,[status(thm)],[f6692,f2411])).
% 28.16/4.07 fof(f6702,plain,(
% 28.16/4.07 ![X0]: (~iext(uri_rdf_first,sk0_200,X0)|icext(X0,uri_ex_w)|~spl0_774)),
% 28.16/4.07 inference(resolution,[status(thm)],[f6701,f2536])).
% 28.16/4.07 fof(f6703,plain,(
% 28.16/4.07 icext(sk0_199,uri_ex_w)|~spl0_774),
% 28.16/4.07 inference(resolution,[status(thm)],[f6702,f2414])).
% 28.16/4.07 fof(f6704,plain,(
% 28.16/4.07 spl0_775 <=> ~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_owl_intersectionOf,X3,X0)|~icext(X3,X4)|icext(X1,X4)),
% 28.16/4.07 introduced(split_symbol_definition)).
% 28.16/4.07 fof(f6705,plain,(
% 28.16/4.07 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_owl_intersectionOf,X2,X0)|~icext(X2,X3)|icext(X1,X3)|~spl0_775)),
% 28.16/4.07 inference(component_clause,[status(thm)],[f6704])).
% 28.16/4.07 fof(f6707,plain,(
% 28.16/4.07 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_200)|~iext(uri_rdf_first,sk0_200,X2)|~iext(uri_owl_intersectionOf,X3,X0)|~icext(X3,X4)|icext(X1,X4))),
% 28.16/4.07 inference(resolution,[status(thm)],[f1124,f2415])).
% 28.16/4.07 fof(f6708,plain,(
% 28.16/4.07 spl0_775|spl0_767),
% 28.16/4.07 inference(split_clause,[status(thm)],[f6707,f6704,f6651])).
% 28.16/4.07 fof(f6709,plain,(
% 28.16/4.07 ![X0,X1,X2]: (~iext(uri_rdf_first,sk0_201,X0)|~iext(uri_owl_intersectionOf,X1,sk0_201)|~icext(X1,X2)|icext(X0,X2)|~spl0_775)),
% 28.16/4.07 inference(resolution,[status(thm)],[f6705,f2413])).
% 28.16/4.07 fof(f6710,plain,(
% 28.16/4.07 ![X0,X1]: (~iext(uri_rdf_first,sk0_201,X0)|~icext(sk0_202,X1)|icext(X0,X1)|~spl0_775)),
% 28.16/4.07 inference(resolution,[status(thm)],[f6709,f2411])).
% 28.16/4.07 fof(f6711,plain,(
% 28.16/4.07 ![X0]: (~iext(uri_rdf_first,sk0_201,X0)|icext(X0,uri_ex_w)|~spl0_775)),
% 28.16/4.07 inference(resolution,[status(thm)],[f6710,f2536])).
% 28.16/4.07 fof(f6712,plain,(
% 28.16/4.07 icext(uri_ex_A,uri_ex_w)|~spl0_775),
% 28.16/4.07 inference(resolution,[status(thm)],[f6711,f2412])).
% 28.16/4.07 fof(f7925,plain,(
% 28.16/4.07 ~icext(sk0_199,uri_ex_w)|~spl0_775),
% 28.16/4.07 inference(resolution,[status(thm)],[f6712,f2799])).
% 28.16/4.07 fof(f7926,plain,(
% 28.16/4.07 $false|~spl0_774|~spl0_775),
% 28.16/4.07 inference(forward_subsumption_resolution,[status(thm)],[f7925,f6703])).
% 28.16/4.07 fof(f7927,plain,(
% 28.16/4.07 ~spl0_774|~spl0_775),
% 28.16/4.07 inference(contradiction_clause,[status(thm)],[f7926])).
% 28.16/4.07 fof(f7928,plain,(
% 28.16/4.07 $false),
% 28.16/4.07 inference(sat_refutation,[status(thm)],[f6665,f6695,f6697,f6708,f7927])).
% 28.16/4.07 % SZS output end CNFRefutation for theBenchmark.p
% 29.07/4.11 % Elapsed time: 3.784496 seconds
% 29.07/4.11 % CPU time: 28.888301 seconds
% 29.07/4.11 % Memory used: 186.489 MB
%------------------------------------------------------------------------------