TSTP Solution File: SWB023+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:38:38 EDT 2023

% Result   : Theorem 2.90s 0.78s
% Output   : CNFRefutation 2.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n008.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:44:08 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.14/0.33  % Drodi V3.5.1
% 2.90/0.78  % Refutation found
% 2.90/0.78  % SZS status Theorem for theBenchmark: Theorem is valid
% 2.90/0.78  % SZS output start CNFRefutation for theBenchmark
% 2.90/0.78  fof(f25,axiom,(
% 2.90/0.78    (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 2.90/0.78    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.90/0.78  fof(f295,axiom,(
% 2.90/0.78    (! [Z,S1,A1] :( ( iext(uri_rdf_first,S1,A1)& iext(uri_rdf_rest,S1,uri_rdf_nil) )=> ( iext(uri_owl_oneOf,Z,S1)<=> ( ic(Z)& (! [X] :( icext(Z,X)<=> X = A1 ) )) ) ) )),
% 2.90/0.78    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.90/0.78  fof(f354,axiom,(
% 2.90/0.78    (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 2.90/0.78    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.90/0.78  fof(f559,conjecture,(
% 2.90/0.78    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) ),
% 2.90/0.78    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.90/0.78  fof(f560,negated_conjecture,(
% 2.90/0.78    ~(( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) )),
% 2.90/0.78    inference(negated_conjecture,[status(cth)],[f559])).
% 2.90/0.78  fof(f561,axiom,(
% 2.90/0.78    (? [BNODE_o,BNODE_l] :( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)& iext(uri_rdf_type,uri_ex_w,BNODE_o)& iext(uri_rdf_type,BNODE_o,uri_owl_Class)& iext(uri_owl_oneOf,BNODE_o,BNODE_l)& iext(uri_rdf_first,BNODE_l,uri_ex_u)& iext(uri_rdf_first,BNODE_l,uri_ex_v)& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ) )),
% 2.90/0.78    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.90/0.78  fof(f592,plain,(
% 2.90/0.78    ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 2.90/0.78    inference(NNF_transformation,[status(esa)],[f25])).
% 2.90/0.78  fof(f593,plain,(
% 2.90/0.78    (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 2.90/0.78    inference(miniscoping,[status(esa)],[f592])).
% 2.90/0.78  fof(f594,plain,(
% 2.90/0.78    ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f593])).
% 2.90/0.78  fof(f1211,plain,(
% 2.90/0.78    ![Z,S1,A1]: ((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,uri_rdf_nil))|(iext(uri_owl_oneOf,Z,S1)<=>(ic(Z)&(![X]: (icext(Z,X)<=>X=A1)))))),
% 2.90/0.78    inference(pre_NNF_transformation,[status(esa)],[f295])).
% 2.90/0.78  fof(f1212,plain,(
% 2.90/0.78    ![Z,S1,A1]: ((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,uri_rdf_nil))|((~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&(![X]: ((~icext(Z,X)|X=A1)&(icext(Z,X)|~X=A1)))))&(iext(uri_owl_oneOf,Z,S1)|(~ic(Z)|(?[X]: ((~icext(Z,X)|~X=A1)&(icext(Z,X)|X=A1)))))))),
% 2.90/0.78    inference(NNF_transformation,[status(esa)],[f1211])).
% 2.90/0.78  fof(f1213,plain,(
% 2.90/0.78    ![S1,A1]: ((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,uri_rdf_nil))|((![Z]: (~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&((![X]: (~icext(Z,X)|X=A1))&(![X]: (icext(Z,X)|~X=A1))))))&(![Z]: (iext(uri_owl_oneOf,Z,S1)|(~ic(Z)|(?[X]: ((~icext(Z,X)|~X=A1)&(icext(Z,X)|X=A1))))))))),
% 2.90/0.78    inference(miniscoping,[status(esa)],[f1212])).
% 2.90/0.78  fof(f1214,plain,(
% 2.90/0.78    ![S1,A1]: ((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,uri_rdf_nil))|((![Z]: (~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&((![X]: (~icext(Z,X)|X=A1))&(![X]: (icext(Z,X)|~X=A1))))))&(![Z]: (iext(uri_owl_oneOf,Z,S1)|(~ic(Z)|((~icext(Z,sk0_10(Z,A1,S1))|~sk0_10(Z,A1,S1)=A1)&(icext(Z,sk0_10(Z,A1,S1))|sk0_10(Z,A1,S1)=A1)))))))),
% 2.90/0.78    inference(skolemization,[status(esa)],[f1213])).
% 2.90/0.78  fof(f1216,plain,(
% 2.90/0.78    ![X0,X1,X2,X3]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,uri_rdf_nil)|~iext(uri_owl_oneOf,X2,X0)|~icext(X2,X3)|X3=X1)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f1214])).
% 2.90/0.78  fof(f1832,plain,(
% 2.90/0.78    ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 2.90/0.78    inference(NNF_transformation,[status(esa)],[f354])).
% 2.90/0.78  fof(f1833,plain,(
% 2.90/0.78    (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 2.90/0.78    inference(miniscoping,[status(esa)],[f1832])).
% 2.90/0.78  fof(f1835,plain,(
% 2.90/0.78    ![X0,X1]: (iext(uri_owl_sameAs,X0,X1)|~X0=X1)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f1833])).
% 2.90/0.78  fof(f2405,plain,(
% 2.90/0.78    (~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v))),
% 2.90/0.78    inference(pre_NNF_transformation,[status(esa)],[f560])).
% 2.90/0.78  fof(f2406,plain,(
% 2.90/0.78    ~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f2405])).
% 2.90/0.78  fof(f2407,plain,(
% 2.90/0.78    ?[BNODE_l]: ((((?[BNODE_o]: (((iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,BNODE_o))&iext(uri_rdf_type,BNODE_o,uri_owl_Class))&iext(uri_owl_oneOf,BNODE_o,BNODE_l)))&iext(uri_rdf_first,BNODE_l,uri_ex_u))&iext(uri_rdf_first,BNODE_l,uri_ex_v))&iext(uri_rdf_rest,BNODE_l,uri_rdf_nil))),
% 2.90/0.78    inference(miniscoping,[status(esa)],[f561])).
% 2.90/0.78  fof(f2408,plain,(
% 2.90/0.78    ((((((iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,sk0_200))&iext(uri_rdf_type,sk0_200,uri_owl_Class))&iext(uri_owl_oneOf,sk0_200,sk0_199))&iext(uri_rdf_first,sk0_199,uri_ex_u))&iext(uri_rdf_first,sk0_199,uri_ex_v))&iext(uri_rdf_rest,sk0_199,uri_rdf_nil))),
% 2.90/0.78    inference(skolemization,[status(esa)],[f2407])).
% 2.90/0.78  fof(f2410,plain,(
% 2.90/0.78    iext(uri_rdf_type,uri_ex_w,sk0_200)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f2408])).
% 2.90/0.78  fof(f2412,plain,(
% 2.90/0.78    iext(uri_owl_oneOf,sk0_200,sk0_199)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f2408])).
% 2.90/0.78  fof(f2413,plain,(
% 2.90/0.78    iext(uri_rdf_first,sk0_199,uri_ex_u)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f2408])).
% 2.90/0.78  fof(f2414,plain,(
% 2.90/0.78    iext(uri_rdf_first,sk0_199,uri_ex_v)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f2408])).
% 2.90/0.78  fof(f2415,plain,(
% 2.90/0.78    iext(uri_rdf_rest,sk0_199,uri_rdf_nil)),
% 2.90/0.78    inference(cnf_transformation,[status(esa)],[f2408])).
% 2.90/0.78  fof(f2507,plain,(
% 2.90/0.78    spl0_1 <=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)),
% 2.90/0.78    introduced(split_symbol_definition)).
% 2.90/0.78  fof(f2509,plain,(
% 2.90/0.78    ~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|spl0_1),
% 2.90/0.78    inference(component_clause,[status(thm)],[f2507])).
% 2.90/0.78  fof(f2510,plain,(
% 2.90/0.78    spl0_2 <=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),
% 2.90/0.78    introduced(split_symbol_definition)).
% 2.90/0.78  fof(f2512,plain,(
% 2.90/0.78    ~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)|spl0_2),
% 2.90/0.78    inference(component_clause,[status(thm)],[f2510])).
% 2.90/0.78  fof(f2513,plain,(
% 2.90/0.78    ~spl0_1|~spl0_2),
% 2.90/0.78    inference(split_clause,[status(thm)],[f2406,f2507,f2510])).
% 2.90/0.78  fof(f2679,plain,(
% 2.90/0.78    icext(sk0_200,uri_ex_w)),
% 2.90/0.78    inference(resolution,[status(thm)],[f2410,f594])).
% 2.90/0.78  fof(f7015,plain,(
% 2.90/0.78    spl0_581 <=> iext(uri_rdf_rest,sk0_199,uri_rdf_nil)),
% 2.90/0.78    introduced(split_symbol_definition)).
% 2.90/0.78  fof(f7017,plain,(
% 2.90/0.78    ~iext(uri_rdf_rest,sk0_199,uri_rdf_nil)|spl0_581),
% 2.90/0.78    inference(component_clause,[status(thm)],[f7015])).
% 2.90/0.78  fof(f7031,plain,(
% 2.90/0.78    $false|spl0_581),
% 2.90/0.78    inference(forward_subsumption_resolution,[status(thm)],[f7017,f2415])).
% 2.90/0.78  fof(f7032,plain,(
% 2.90/0.78    spl0_581),
% 2.90/0.78    inference(contradiction_clause,[status(thm)],[f7031])).
% 2.90/0.78  fof(f7040,plain,(
% 2.90/0.78    spl0_586 <=> ~iext(uri_owl_oneOf,X0,sk0_199)|~icext(X0,X1)|X1=uri_ex_u),
% 2.90/0.78    introduced(split_symbol_definition)).
% 2.90/0.78  fof(f7041,plain,(
% 2.90/0.78    ![X0,X1]: (~iext(uri_owl_oneOf,X0,sk0_199)|~icext(X0,X1)|X1=uri_ex_u|~spl0_586)),
% 2.90/0.78    inference(component_clause,[status(thm)],[f7040])).
% 2.90/0.78  fof(f7043,plain,(
% 2.90/0.78    ![X0,X1]: (~iext(uri_rdf_rest,sk0_199,uri_rdf_nil)|~iext(uri_owl_oneOf,X0,sk0_199)|~icext(X0,X1)|X1=uri_ex_u)),
% 2.90/0.78    inference(resolution,[status(thm)],[f1216,f2413])).
% 2.90/0.78  fof(f7044,plain,(
% 2.90/0.78    ~spl0_581|spl0_586),
% 2.90/0.78    inference(split_clause,[status(thm)],[f7043,f7015,f7040])).
% 2.90/0.78  fof(f7045,plain,(
% 2.90/0.78    spl0_587 <=> ~iext(uri_owl_oneOf,X0,sk0_199)|~icext(X0,X1)|X1=uri_ex_v),
% 2.90/0.78    introduced(split_symbol_definition)).
% 2.90/0.78  fof(f7046,plain,(
% 2.90/0.78    ![X0,X1]: (~iext(uri_owl_oneOf,X0,sk0_199)|~icext(X0,X1)|X1=uri_ex_v|~spl0_587)),
% 2.90/0.78    inference(component_clause,[status(thm)],[f7045])).
% 2.90/0.78  fof(f7048,plain,(
% 2.90/0.78    ![X0,X1]: (~iext(uri_rdf_rest,sk0_199,uri_rdf_nil)|~iext(uri_owl_oneOf,X0,sk0_199)|~icext(X0,X1)|X1=uri_ex_v)),
% 2.90/0.78    inference(resolution,[status(thm)],[f1216,f2414])).
% 2.90/0.78  fof(f7049,plain,(
% 2.90/0.78    ~spl0_581|spl0_587),
% 2.90/0.78    inference(split_clause,[status(thm)],[f7048,f7015,f7045])).
% 2.90/0.78  fof(f7050,plain,(
% 2.90/0.78    ![X0]: (~icext(sk0_200,X0)|X0=uri_ex_u|~spl0_586)),
% 2.90/0.78    inference(resolution,[status(thm)],[f7041,f2412])).
% 2.90/0.78  fof(f7051,plain,(
% 2.90/0.78    ![X0]: (~icext(sk0_200,X0)|X0=uri_ex_v|~spl0_587)),
% 2.90/0.78    inference(resolution,[status(thm)],[f7046,f2412])).
% 2.90/0.78  fof(f7219,plain,(
% 2.90/0.78    uri_ex_w=uri_ex_u|~spl0_586),
% 2.90/0.78    inference(resolution,[status(thm)],[f7050,f2679])).
% 2.90/0.78  fof(f7220,plain,(
% 2.90/0.78    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~spl0_586),
% 2.90/0.78    inference(resolution,[status(thm)],[f7219,f1835])).
% 2.90/0.78  fof(f7221,plain,(
% 2.90/0.78    $false|spl0_1|~spl0_586),
% 2.90/0.80    inference(forward_subsumption_resolution,[status(thm)],[f7220,f2509])).
% 2.90/0.80  fof(f7222,plain,(
% 2.90/0.80    spl0_1|~spl0_586),
% 2.90/0.80    inference(contradiction_clause,[status(thm)],[f7221])).
% 2.90/0.80  fof(f7304,plain,(
% 2.90/0.80    uri_ex_w=uri_ex_v|~spl0_587),
% 2.90/0.80    inference(resolution,[status(thm)],[f7051,f2679])).
% 2.90/0.80  fof(f7305,plain,(
% 2.90/0.80    iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)|~spl0_587),
% 2.90/0.80    inference(resolution,[status(thm)],[f7304,f1835])).
% 2.90/0.80  fof(f7306,plain,(
% 2.90/0.80    $false|spl0_2|~spl0_587),
% 2.90/0.80    inference(forward_subsumption_resolution,[status(thm)],[f7305,f2512])).
% 2.90/0.80  fof(f7307,plain,(
% 2.90/0.80    spl0_2|~spl0_587),
% 2.90/0.80    inference(contradiction_clause,[status(thm)],[f7306])).
% 2.90/0.80  fof(f7308,plain,(
% 2.90/0.80    $false),
% 2.90/0.80    inference(sat_refutation,[status(thm)],[f2513,f7032,f7044,f7049,f7222,f7307])).
% 2.90/0.80  % SZS output end CNFRefutation for theBenchmark.p
% 2.90/0.81  % Elapsed time: 0.509534 seconds
% 2.90/0.81  % CPU time: 3.211240 seconds
% 2.90/0.81  % Memory used: 114.114 MB
%------------------------------------------------------------------------------