TSTP Solution File: SWB056+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB056+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:38:43 EDT 2023

% Result   : Theorem 127.31s 16.58s
% Output   : CNFRefutation 127.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13  % Problem  : SWB056+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35  % Computer : n018.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Tue May 30 10:48:55 EDT 2023
% 0.11/0.35  % CPUTime  : 
% 0.16/0.39  % Drodi V3.5.1
% 127.31/16.58  % Refutation found
% 127.31/16.58  % SZS status Theorem for theBenchmark: Theorem is valid
% 127.31/16.58  % SZS output start CNFRefutation for theBenchmark
% 127.31/16.58  fof(f25,axiom,(
% 127.31/16.58    (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 127.31/16.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 127.31/16.58  fof(f296,axiom,(
% 127.31/16.58    (! [Z,S1,A1,S2,A2] :( ( iext(uri_rdf_first,S1,A1)& iext(uri_rdf_rest,S1,S2)& iext(uri_rdf_first,S2,A2)& iext(uri_rdf_rest,S2,uri_rdf_nil) )=> ( iext(uri_owl_oneOf,Z,S1)<=> ( ic(Z)& (! [X] :( icext(Z,X)<=> ( X = A1| X = A2 ) ) )) ) ) )),
% 127.31/16.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 127.31/16.58  fof(f345,axiom,(
% 127.31/16.58    (! [X,Y] :( iext(uri_owl_differentFrom,X,Y)<=> X != Y ) )),
% 127.31/16.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 127.31/16.58  fof(f354,axiom,(
% 127.31/16.58    (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 127.31/16.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 127.31/16.58  fof(f559,conjecture,(
% 127.31/16.58    iext(uri_owl_sameAs,uri_ex_z,uri_ex_y) ),
% 127.31/16.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 127.31/16.58  fof(f560,negated_conjecture,(
% 127.31/16.58    ~(iext(uri_owl_sameAs,uri_ex_z,uri_ex_y) )),
% 127.31/16.58    inference(negated_conjecture,[status(cth)],[f559])).
% 127.31/16.58  fof(f561,axiom,(
% 127.31/16.58    (? [X0,X1] :( iext(uri_rdf_type,uri_ex_z,uri_ex_e)& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)& iext(uri_owl_oneOf,uri_ex_e,X0)& iext(uri_rdf_first,X0,uri_ex_x)& iext(uri_rdf_rest,X0,X1)& iext(uri_rdf_first,X1,uri_ex_y)& iext(uri_rdf_rest,X1,uri_rdf_nil) ) )),
% 127.31/16.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 127.31/16.58  fof(f592,plain,(
% 127.31/16.58    ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 127.31/16.58    inference(NNF_transformation,[status(esa)],[f25])).
% 127.31/16.58  fof(f593,plain,(
% 127.31/16.58    (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 127.31/16.58    inference(miniscoping,[status(esa)],[f592])).
% 127.31/16.58  fof(f594,plain,(
% 127.31/16.58    ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f593])).
% 127.31/16.58  fof(f1220,plain,(
% 127.31/16.58    ![Z,S1,A1,S2,A2]: ((((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|(iext(uri_owl_oneOf,Z,S1)<=>(ic(Z)&(![X]: (icext(Z,X)<=>(X=A1|X=A2))))))),
% 127.31/16.58    inference(pre_NNF_transformation,[status(esa)],[f296])).
% 127.31/16.58  fof(f1221,plain,(
% 127.31/16.58    ![Z,S1,A1,S2,A2]: ((((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|((~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&(![X]: ((~icext(Z,X)|(X=A1|X=A2))&(icext(Z,X)|(~X=A1&~X=A2))))))&(iext(uri_owl_oneOf,Z,S1)|(~ic(Z)|(?[X]: ((~icext(Z,X)|(~X=A1&~X=A2))&(icext(Z,X)|(X=A1|X=A2))))))))),
% 127.31/16.58    inference(NNF_transformation,[status(esa)],[f1220])).
% 127.31/16.58  fof(f1222,plain,(
% 127.31/16.58    ![S1,A1,A2]: ((![S2]: (((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![Z]: (~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&((![X]: (~icext(Z,X)|(X=A1|X=A2)))&(![X]: (icext(Z,X)|(~X=A1&~X=A2)))))))&(![Z]: (iext(uri_owl_oneOf,Z,S1)|(~ic(Z)|(?[X]: ((~icext(Z,X)|(~X=A1&~X=A2))&(icext(Z,X)|(X=A1|X=A2)))))))))),
% 127.31/16.58    inference(miniscoping,[status(esa)],[f1221])).
% 127.31/16.58  fof(f1223,plain,(
% 127.31/16.58    ![S1,A1,A2]: ((![S2]: (((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,A2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![Z]: (~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&((![X]: (~icext(Z,X)|(X=A1|X=A2)))&(![X]: (icext(Z,X)|(~X=A1&~X=A2)))))))&(![Z]: (iext(uri_owl_oneOf,Z,S1)|(~ic(Z)|((~icext(Z,sk0_11(Z,A2,A1,S1))|(~sk0_11(Z,A2,A1,S1)=A1&~sk0_11(Z,A2,A1,S1)=A2))&(icext(Z,sk0_11(Z,A2,A1,S1))|(sk0_11(Z,A2,A1,S1)=A1|sk0_11(Z,A2,A1,S1)=A2))))))))),
% 127.31/16.58    inference(skolemization,[status(esa)],[f1222])).
% 127.31/16.58  fof(f1225,plain,(
% 127.31/16.58    ![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_oneOf,X4,X0)|~icext(X4,X5)|X5=X1|X5=X3)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f1223])).
% 127.31/16.58  fof(f1749,plain,(
% 127.31/16.58    ![X,Y]: ((~iext(uri_owl_differentFrom,X,Y)|~X=Y)&(iext(uri_owl_differentFrom,X,Y)|X=Y))),
% 127.31/16.58    inference(NNF_transformation,[status(esa)],[f345])).
% 127.31/16.58  fof(f1750,plain,(
% 127.31/16.58    (![X,Y]: (~iext(uri_owl_differentFrom,X,Y)|~X=Y))&(![X,Y]: (iext(uri_owl_differentFrom,X,Y)|X=Y))),
% 127.31/16.58    inference(miniscoping,[status(esa)],[f1749])).
% 127.31/16.58  fof(f1751,plain,(
% 127.31/16.58    ![X0,X1]: (~iext(uri_owl_differentFrom,X0,X1)|~X0=X1)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f1750])).
% 127.31/16.58  fof(f1832,plain,(
% 127.31/16.58    ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 127.31/16.58    inference(NNF_transformation,[status(esa)],[f354])).
% 127.31/16.58  fof(f1833,plain,(
% 127.31/16.58    (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 127.31/16.58    inference(miniscoping,[status(esa)],[f1832])).
% 127.31/16.58  fof(f1835,plain,(
% 127.31/16.58    ![X0,X1]: (iext(uri_owl_sameAs,X0,X1)|~X0=X1)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f1833])).
% 127.31/16.58  fof(f2405,plain,(
% 127.31/16.58    ~iext(uri_owl_sameAs,uri_ex_z,uri_ex_y)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f560])).
% 127.31/16.58  fof(f2406,plain,(
% 127.31/16.58    ?[X1]: (((?[X0]: ((((iext(uri_rdf_type,uri_ex_z,uri_ex_e)&iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x))&iext(uri_owl_oneOf,uri_ex_e,X0))&iext(uri_rdf_first,X0,uri_ex_x))&iext(uri_rdf_rest,X0,X1)))&iext(uri_rdf_first,X1,uri_ex_y))&iext(uri_rdf_rest,X1,uri_rdf_nil))),
% 127.31/16.58    inference(miniscoping,[status(esa)],[f561])).
% 127.31/16.58  fof(f2407,plain,(
% 127.31/16.58    ((((((iext(uri_rdf_type,uri_ex_z,uri_ex_e)&iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x))&iext(uri_owl_oneOf,uri_ex_e,sk0_200))&iext(uri_rdf_first,sk0_200,uri_ex_x))&iext(uri_rdf_rest,sk0_200,sk0_199))&iext(uri_rdf_first,sk0_199,uri_ex_y))&iext(uri_rdf_rest,sk0_199,uri_rdf_nil))),
% 127.31/16.58    inference(skolemization,[status(esa)],[f2406])).
% 127.31/16.58  fof(f2408,plain,(
% 127.31/16.58    iext(uri_rdf_type,uri_ex_z,uri_ex_e)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2409,plain,(
% 127.31/16.58    iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2410,plain,(
% 127.31/16.58    iext(uri_owl_oneOf,uri_ex_e,sk0_200)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2411,plain,(
% 127.31/16.58    iext(uri_rdf_first,sk0_200,uri_ex_x)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2412,plain,(
% 127.31/16.58    iext(uri_rdf_rest,sk0_200,sk0_199)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2413,plain,(
% 127.31/16.58    iext(uri_rdf_first,sk0_199,uri_ex_y)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2414,plain,(
% 127.31/16.58    iext(uri_rdf_rest,sk0_199,uri_rdf_nil)),
% 127.31/16.58    inference(cnf_transformation,[status(esa)],[f2407])).
% 127.31/16.58  fof(f2509,plain,(
% 127.31/16.58    ![X0]: (~iext(uri_owl_differentFrom,X0,X0))),
% 127.31/16.58    inference(destructive_equality_resolution,[status(esa)],[f1751])).
% 127.31/16.58  fof(f2510,plain,(
% 127.31/16.58    ![X0]: (iext(uri_owl_sameAs,X0,X0))),
% 127.31/16.58    inference(destructive_equality_resolution,[status(esa)],[f1835])).
% 127.31/16.58  fof(f2943,plain,(
% 127.31/16.58    icext(uri_ex_e,uri_ex_z)),
% 127.31/16.58    inference(resolution,[status(thm)],[f2408,f594])).
% 127.31/16.58  fof(f5689,plain,(
% 127.31/16.58    spl0_469 <=> iext(uri_rdf_rest,sk0_199,uri_rdf_nil)),
% 127.31/16.58    introduced(split_symbol_definition)).
% 127.31/16.58  fof(f5691,plain,(
% 127.31/16.58    ~iext(uri_rdf_rest,sk0_199,uri_rdf_nil)|spl0_469),
% 127.31/16.58    inference(component_clause,[status(thm)],[f5689])).
% 127.31/16.58  fof(f5748,plain,(
% 127.31/16.58    $false|spl0_469),
% 127.31/16.58    inference(forward_subsumption_resolution,[status(thm)],[f5691,f2414])).
% 127.31/16.58  fof(f5749,plain,(
% 127.31/16.58    spl0_469),
% 127.31/16.58    inference(contradiction_clause,[status(thm)],[f5748])).
% 127.31/16.58  fof(f7496,plain,(
% 127.31/16.58    spl0_796 <=> iext(uri_rdf_rest,sk0_200,sk0_199)),
% 127.31/16.58    introduced(split_symbol_definition)).
% 127.31/16.58  fof(f7498,plain,(
% 127.31/16.58    ~iext(uri_rdf_rest,sk0_200,sk0_199)|spl0_796),
% 127.31/16.58    inference(component_clause,[status(thm)],[f7496])).
% 127.31/16.58  fof(f7848,plain,(
% 127.31/16.58    $false|spl0_796),
% 127.31/16.58    inference(forward_subsumption_resolution,[status(thm)],[f7498,f2412])).
% 127.31/16.58  fof(f7849,plain,(
% 127.31/16.58    spl0_796),
% 127.31/16.58    inference(contradiction_clause,[status(thm)],[f7848])).
% 127.31/16.58  fof(f30482,plain,(
% 127.31/16.58    spl0_4742 <=> ~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_199)|~iext(uri_owl_oneOf,X2,X0)|~icext(X2,X3)|X3=X1|X3=uri_ex_y),
% 127.31/16.58    introduced(split_symbol_definition)).
% 127.31/16.58  fof(f30483,plain,(
% 127.31/16.58    ![X0,X1,X2,X3]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sk0_199)|~iext(uri_owl_oneOf,X2,X0)|~icext(X2,X3)|X3=X1|X3=uri_ex_y|~spl0_4742)),
% 127.31/16.58    inference(component_clause,[status(thm)],[f30482])).
% 127.31/16.58  fof(f30485,plain,(
% 127.31/16.58    ![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_oneOf,X2,X0)|~icext(X2,X3)|X3=X1|X3=uri_ex_y)),
% 127.31/16.63    inference(resolution,[status(thm)],[f1225,f2413])).
% 127.31/16.63  fof(f30486,plain,(
% 127.31/16.63    spl0_4742|~spl0_469),
% 127.31/16.63    inference(split_clause,[status(thm)],[f30485,f30482,f5689])).
% 127.31/16.63  fof(f31505,plain,(
% 127.31/16.63    spl0_4793 <=> ~iext(uri_rdf_first,sk0_200,X0)|~icext(uri_ex_e,X1)|X1=X0|X1=uri_ex_y),
% 127.31/16.63    introduced(split_symbol_definition)).
% 127.31/16.63  fof(f31506,plain,(
% 127.31/16.63    ![X0,X1]: (~iext(uri_rdf_first,sk0_200,X0)|~icext(uri_ex_e,X1)|X1=X0|X1=uri_ex_y|~spl0_4793)),
% 127.31/16.63    inference(component_clause,[status(thm)],[f31505])).
% 127.31/16.63  fof(f31508,plain,(
% 127.31/16.63    ![X0,X1]: (~iext(uri_rdf_first,sk0_200,X0)|~iext(uri_rdf_rest,sk0_200,sk0_199)|~icext(uri_ex_e,X1)|X1=X0|X1=uri_ex_y|~spl0_4742)),
% 127.31/16.63    inference(resolution,[status(thm)],[f30483,f2410])).
% 127.31/16.63  fof(f31509,plain,(
% 127.31/16.63    spl0_4793|~spl0_796|~spl0_4742),
% 127.31/16.63    inference(split_clause,[status(thm)],[f31508,f31505,f7496,f30482])).
% 127.31/16.63  fof(f31515,plain,(
% 127.31/16.63    ![X0]: (~icext(uri_ex_e,X0)|X0=uri_ex_x|X0=uri_ex_y|~spl0_4793)),
% 127.31/16.63    inference(resolution,[status(thm)],[f31506,f2411])).
% 127.31/16.63  fof(f31529,plain,(
% 127.31/16.63    spl0_4798 <=> uri_ex_z=uri_ex_x),
% 127.31/16.63    introduced(split_symbol_definition)).
% 127.31/16.63  fof(f31530,plain,(
% 127.31/16.63    uri_ex_z=uri_ex_x|~spl0_4798),
% 127.31/16.63    inference(component_clause,[status(thm)],[f31529])).
% 127.31/16.63  fof(f31532,plain,(
% 127.31/16.63    spl0_4799 <=> uri_ex_z=uri_ex_y),
% 127.31/16.63    introduced(split_symbol_definition)).
% 127.31/16.63  fof(f31533,plain,(
% 127.31/16.63    uri_ex_z=uri_ex_y|~spl0_4799),
% 127.31/16.63    inference(component_clause,[status(thm)],[f31532])).
% 127.31/16.63  fof(f31535,plain,(
% 127.31/16.63    uri_ex_z=uri_ex_x|uri_ex_z=uri_ex_y|~spl0_4793),
% 127.31/16.63    inference(resolution,[status(thm)],[f31515,f2943])).
% 127.31/16.63  fof(f31536,plain,(
% 127.31/16.63    spl0_4798|spl0_4799|~spl0_4793),
% 127.31/16.63    inference(split_clause,[status(thm)],[f31535,f31529,f31532,f31505])).
% 127.31/16.63  fof(f31690,plain,(
% 127.31/16.63    iext(uri_owl_differentFrom,uri_ex_z,uri_ex_z)|~spl0_4798),
% 127.31/16.63    inference(backward_demodulation,[status(thm)],[f31530,f2409])).
% 127.31/16.63  fof(f31691,plain,(
% 127.31/16.63    $false|~spl0_4798),
% 127.31/16.63    inference(forward_subsumption_resolution,[status(thm)],[f31690,f2509])).
% 127.31/16.63  fof(f31692,plain,(
% 127.31/16.63    ~spl0_4798),
% 127.31/16.63    inference(contradiction_clause,[status(thm)],[f31691])).
% 127.31/16.63  fof(f31698,plain,(
% 127.31/16.63    ~iext(uri_owl_sameAs,uri_ex_z,uri_ex_z)|~spl0_4799),
% 127.31/16.63    inference(backward_demodulation,[status(thm)],[f31533,f2405])).
% 127.31/16.63  fof(f31699,plain,(
% 127.31/16.63    $false|~spl0_4799),
% 127.31/16.63    inference(forward_subsumption_resolution,[status(thm)],[f31698,f2510])).
% 127.31/16.63  fof(f31700,plain,(
% 127.31/16.63    ~spl0_4799),
% 127.31/16.63    inference(contradiction_clause,[status(thm)],[f31699])).
% 127.31/16.63  fof(f31701,plain,(
% 127.31/16.63    $false),
% 127.31/16.63    inference(sat_refutation,[status(thm)],[f5749,f7849,f30486,f31509,f31536,f31692,f31700])).
% 127.31/16.63  % SZS output end CNFRefutation for theBenchmark.p
% 128.20/16.69  % Elapsed time: 16.317434 seconds
% 128.20/16.69  % CPU time: 128.236704 seconds
% 128.20/16.69  % Memory used: 296.613 MB
%------------------------------------------------------------------------------