%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:37:35 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:38:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (! [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 ) )) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (! [P] :( icext(uri_owl_FunctionalProperty,P)<=> ( ip(P)& (! [X,Y1,Y2] :( ( iext(P,X,Y1)& iext(P,X,Y2) )=> Y1 = Y2 ) )) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,conjecture,(
% 0.09/0.39 ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,negated_conjecture,(
% 0.09/0.39 ~(( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) )),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f5])).
% 0.09/0.39 fof(f7,axiom,(
% 0.09/0.39 (? [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) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![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)))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![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)))))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![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))))))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![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_skl(Z,A1,S1))|~sK0_skl(Z,A1,S1)=A1)&(icext(Z,sK0_skl(Z,A1,S1))|sK0_skl(Z,A1,S1)=A1)))))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(Z,A1,S1))],[f14])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![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)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ![P]: (icext(uri_owl_FunctionalProperty,P)<=>(ip(P)&(![X,Y1,Y2]: ((~iext(P,X,Y1)|~iext(P,X,Y2))|Y1=Y2))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![P]: ((~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![X,Y1,Y2]: ((~iext(P,X,Y1)|~iext(P,X,Y2))|Y1=Y2))))&(icext(uri_owl_FunctionalProperty,P)|(~ip(P)|(?[X,Y1,Y2]: ((iext(P,X,Y1)&iext(P,X,Y2))&~Y1=Y2)))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f21])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 (![P]: (~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![Y1,Y2]: ((![X]: (~iext(P,X,Y1)|~iext(P,X,Y2)))|Y1=Y2)))))&(![P]: (icext(uri_owl_FunctionalProperty,P)|(~ip(P)|(?[Y1,Y2]: ((?[X]: (iext(P,X,Y1)&iext(P,X,Y2)))&~Y1=Y2)))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 (![P]: (~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![Y1,Y2]: ((![X]: (~iext(P,X,Y1)|~iext(P,X,Y2)))|Y1=Y2)))))&(![P]: (icext(uri_owl_FunctionalProperty,P)|(~ip(P)|((iext(P,sK3_skl(P),sK1_skl(P))&iext(P,sK3_skl(P),sK2_skl(P)))&~sK1_skl(P)=sK2_skl(P)))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(Y1,sK1_skl(P)),skolemize(Y2,sK2_skl(P)),skolemize(X,sK3_skl(P))],[f23])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~icext(uri_owl_FunctionalProperty,X0)|~iext(X0,X1,X2)|~iext(X0,X1,X3)|X2=X3)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f30])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![X0,X1]: (iext(uri_owl_sameAs,X0,X1)|~X0=X1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 (~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 ~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ?[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))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ((((((iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,sK5_skl))&iext(uri_rdf_type,sK5_skl,uri_owl_Class))&iext(uri_owl_oneOf,sK5_skl,sK4_skl))&iext(uri_rdf_first,sK4_skl,uri_ex_u))&iext(uri_rdf_first,sK4_skl,uri_ex_v))&iext(uri_rdf_rest,sK4_skl,uri_rdf_nil))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(BNODE_l,sK4_skl),skolemize(BNODE_o,sK5_skl)],[f36])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 iext(uri_rdf_type,uri_ex_w,sK5_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 iext(uri_owl_oneOf,sK5_skl,sK4_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 iext(uri_rdf_first,sK4_skl,uri_ex_u)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 iext(uri_rdf_first,sK4_skl,uri_ex_v)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 iext(uri_rdf_rest,sK4_skl,uri_rdf_nil)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.39 fof(f46,plain,(
% 0.09/0.39 ![X0]: (iext(uri_owl_sameAs,X0,X0))),
% 0.09/0.39 inference(destructive_equality_resolution,[status(thm)],[f33])).
% 0.09/0.39 fof(f49,plain,(
% 0.09/0.39 icext(uri_owl_FunctionalProperty,uri_rdf_first)),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f38])).
% 0.09/0.39 fof(f50,plain,(
% 0.09/0.39 icext(sK5_skl,uri_ex_w)),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f39])).
% 0.09/0.39 fof(f54,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_first,X0,X2)|X1=X2)),
% 0.09/0.39 inference(resolution,[status(thm)],[f26,f49])).
% 0.09/0.39 fof(f55,plain,(
% 0.09/0.39 ![X0]: (~iext(uri_rdf_first,sK4_skl,X0)|X0=uri_ex_v)),
% 0.09/0.39 inference(resolution,[status(thm)],[f54,f43])).
% 0.09/0.39 fof(f58,plain,(
% 0.09/0.39 uri_ex_u=uri_ex_v),
% 0.09/0.39 inference(resolution,[status(thm)],[f55,f42])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 ~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f58,f35])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 ~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),
% 0.09/0.39 inference(duplicate_literals_removal,[status(thm)],[f60])).
% 0.09/0.39 fof(f66,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~iext(uri_rdf_first,sK4_skl,X0)|~iext(uri_owl_oneOf,X1,sK4_skl)|~icext(X1,X2)|X2=X0)),
% 0.09/0.40 inference(resolution,[status(thm)],[f17,f44])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 ![X0,X1]: (~iext(uri_owl_oneOf,X0,sK4_skl)|~icext(X0,X1)|X1=uri_ex_v)),
% 0.09/0.40 inference(resolution,[status(thm)],[f66,f43])).
% 0.09/0.40 fof(f73,plain,(
% 0.09/0.40 ![X0]: (~icext(sK5_skl,X0)|X0=uri_ex_v)),
% 0.09/0.40 inference(resolution,[status(thm)],[f72,f41])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 uri_ex_w=uri_ex_v),
% 0.09/0.40 inference(resolution,[status(thm)],[f73,f50])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 ~iext(uri_owl_sameAs,uri_ex_v,uri_ex_v)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f75,f62])).
% 0.09/0.40 fof(f79,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f76,f46])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.052112 seconds
% 0.09/0.42 % CPU time: 0.147286 seconds
% 0.09/0.42 % Total memory used: 40.417 MB
% 0.09/0.42 % Net memory used: 40.266 MB
%------------------------------------------------------------------------------