%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB022+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 : n018.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 02:37:34 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB022+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
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:43:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (! [P,Q] :( iext(uri_rdfs_subPropertyOf,P,Q)=> ( ip(P)& ip(Q)& (! [X,Y] :( iext(P,X,Y)=> iext(Q,X,Y) ) )) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (! [P,S1,P1,S2,P2] :( ( iext(uri_rdf_first,S1,P1)& iext(uri_rdf_rest,S1,S2)& iext(uri_rdf_first,S2,P2)& iext(uri_rdf_rest,S2,uri_rdf_nil) )=> ( iext(uri_owl_propertyChainAxiom,P,S1)<=> ( ip(P)& ip(P1)& ip(P2)& (! [Y0,Y1,Y2] :( ( iext(P1,Y0,Y1)& iext(P2,Y1,Y2) )=> iext(P,Y0,Y2) ) )) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,conjecture,(
% 0.14/0.40 ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ~(( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ) )),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f3])).
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)& iext(uri_rdf_first,BNODE_l11,BNODE_pL)& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)& iext(uri_rdf_first,BNODE_l21,BNODE_pL)& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)& iext(uri_rdf_first,BNODE_l31,uri_ex_X)& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,plain,(
% 0.14/0.40 ![P,Q]: (~iext(uri_rdfs_subPropertyOf,P,Q)|((ip(P)&ip(Q))&(![X,Y]: (~iext(P,X,Y)|iext(Q,X,Y)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f9,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~iext(uri_rdfs_subPropertyOf,X0,X1)|~iext(X0,X2,X3)|iext(X1,X2,X3))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f10,plain,(
% 0.14/0.40 ![P,S1,P1,S2,P2]: ((((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|(iext(uri_owl_propertyChainAxiom,P,S1)<=>(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y1,Y2]: ((~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2))|iext(P,Y0,Y2))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ![P,S1,P1,S2,P2]: ((((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|((~iext(uri_owl_propertyChainAxiom,P,S1)|(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y1,Y2]: ((~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2))|iext(P,Y0,Y2)))))&(iext(uri_owl_propertyChainAxiom,P,S1)|(((~ip(P)|~ip(P1))|~ip(P2))|(?[Y0,Y1,Y2]: ((iext(P1,Y0,Y1)&iext(P2,Y1,Y2))&~iext(P,Y0,Y2)))))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 ![S1,P1,P2]: ((![S2]: (((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![P]: (~iext(uri_owl_propertyChainAxiom,P,S1)|(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y2]: ((![Y1]: (~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2)))|iext(P,Y0,Y2))))))&(![P]: (iext(uri_owl_propertyChainAxiom,P,S1)|(((~ip(P)|~ip(P1))|~ip(P2))|(?[Y0,Y2]: ((?[Y1]: (iext(P1,Y0,Y1)&iext(P2,Y1,Y2)))&~iext(P,Y0,Y2))))))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![S1,P1,P2]: ((![S2]: (((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![P]: (~iext(uri_owl_propertyChainAxiom,P,S1)|(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y2]: ((![Y1]: (~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2)))|iext(P,Y0,Y2))))))&(![P]: (iext(uri_owl_propertyChainAxiom,P,S1)|(((~ip(P)|~ip(P1))|~ip(P2))|((iext(P1,sK0_skl(P,P2,P1,S1),sK2_skl(P,P2,P1,S1))&iext(P2,sK2_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1)))&~iext(P,sK0_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y0,sK0_skl(P,P2,P1,S1)),skolemize(Y2,sK1_skl(P,P2,P1,S1)),skolemize(Y1,sK2_skl(P,P2,P1,S1))],[f12])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~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_propertyChainAxiom,X4,X0)|~iext(X1,X5,X6)|~iext(X3,X6,X7)|iext(X4,X5,X7))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ((~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)|~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y))|~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)|~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)|~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f23,plain,(
% 0.14/0.40 ?[BNODE_l33]: (((?[BNODE_l32]: (((?[BNODE_l31]: (((((?[BNODE_l22]: (((?[BNODE_l21]: ((?[BNODE_pL]: (((?[BNODE_l12]: (((?[BNODE_l11]: (((iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)&iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11))&iext(uri_rdf_first,BNODE_l11,BNODE_pL))&iext(uri_rdf_rest,BNODE_l11,BNODE_l12)))&iext(uri_rdf_first,BNODE_l12,uri_rdf_first))&iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)))&iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21))&iext(uri_rdf_first,BNODE_l21,BNODE_pL)))&iext(uri_rdf_rest,BNODE_l21,BNODE_l22)))&iext(uri_rdf_first,BNODE_l22,uri_rdf_rest))&iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)))&iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection))&iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31))&iext(uri_rdf_first,BNODE_l31,uri_ex_X))&iext(uri_rdf_rest,BNODE_l31,BNODE_l32)))&iext(uri_rdf_first,BNODE_l32,uri_ex_Y))&iext(uri_rdf_rest,BNODE_l32,BNODE_l33)))&iext(uri_rdf_first,BNODE_l33,uri_ex_Z))&iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.40 fof(f24,plain,(
% 0.14/0.40 ((((((((((((((((((iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK8_skl)&iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10_skl))&iext(uri_rdf_first,sK10_skl,sK8_skl))&iext(uri_rdf_rest,sK10_skl,sK9_skl))&iext(uri_rdf_first,sK9_skl,uri_rdf_first))&iext(uri_rdf_rest,sK9_skl,uri_rdf_nil))&iext(uri_owl_propertyChainAxiom,sK8_skl,sK7_skl))&iext(uri_rdf_first,sK7_skl,sK8_skl))&iext(uri_rdf_rest,sK7_skl,sK6_skl))&iext(uri_rdf_first,sK6_skl,uri_rdf_rest))&iext(uri_rdf_rest,sK6_skl,uri_rdf_nil))&iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection))&iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK5_skl))&iext(uri_rdf_first,sK5_skl,uri_ex_X))&iext(uri_rdf_rest,sK5_skl,sK4_skl))&iext(uri_rdf_first,sK4_skl,uri_ex_Y))&iext(uri_rdf_rest,sK4_skl,sK3_skl))&iext(uri_rdf_first,sK3_skl,uri_ex_Z))&iext(uri_rdf_rest,sK3_skl,uri_rdf_nil))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(BNODE_l33,sK3_skl),skolemize(BNODE_l32,sK4_skl),skolemize(BNODE_l31,sK5_skl),skolemize(BNODE_l22,sK6_skl),skolemize(BNODE_l21,sK7_skl),skolemize(BNODE_pL,sK8_skl),skolemize(BNODE_l12,sK9_skl),skolemize(BNODE_l11,sK10_skl)],[f23])).
% 0.14/0.40 fof(f25,plain,(
% 0.14/0.40 iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK8_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f26,plain,(
% 0.14/0.40 iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f27,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK10_skl,sK8_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 iext(uri_rdf_rest,sK10_skl,sK9_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f29,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK9_skl,uri_rdf_first)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f30,plain,(
% 0.14/0.40 iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 iext(uri_owl_propertyChainAxiom,sK8_skl,sK7_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK7_skl,sK8_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 iext(uri_rdf_rest,sK7_skl,sK6_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK6_skl,uri_rdf_rest)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK5_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK5_skl,uri_ex_X)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 iext(uri_rdf_rest,sK5_skl,sK4_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK4_skl,uri_ex_Y)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 iext(uri_rdf_rest,sK4_skl,sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 iext(uri_rdf_first,sK3_skl,uri_ex_Z)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f44,definition,(
% 0.14/0.40 sQ0_spl <=> (iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 ~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f44])).
% 0.14/0.40 fof(f47,definition,(
% 0.14/0.40 sQ1_spl <=> (iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 ~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)|sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.40 fof(f50,definition,(
% 0.14/0.40 sQ2_spl <=> (iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 ~iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)|sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f22,f44,f47,f50])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 ![X0,X1]: (~iext(uri_skos_memberList,X0,X1)|iext(sK8_skl,X0,X1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f9,f25])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sK7_skl,X0)|~iext(uri_rdf_rest,sK7_skl,X1)|~iext(uri_rdf_first,X1,X2)|~iext(uri_rdf_rest,X1,uri_rdf_nil)|~iext(X0,X3,X4)|~iext(X2,X4,X5)|iext(sK8_skl,X3,X5))),
% 0.14/0.40 inference(resolution,[status(thm)],[f17,f31])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sK10_skl,X0)|~iext(uri_rdf_rest,sK10_skl,X1)|~iext(uri_rdf_first,X1,X2)|~iext(uri_rdf_rest,X1,uri_rdf_nil)|~iext(X0,X3,X4)|~iext(X2,X4,X5)|iext(uri_skos_member,X3,X5))),
% 0.14/0.40 inference(resolution,[status(thm)],[f17,f26])).
% 0.14/0.40 fof(f136,plain,(
% 0.14/0.40 iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f56,f37])).
% 0.14/0.40 fof(f246,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK7_skl,X0)|~iext(uri_rdf_first,sK6_skl,X1)|~iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)|~iext(X0,X2,X3)|~iext(X1,X3,X4)|iext(sK8_skl,X2,X4))),
% 0.14/0.40 inference(resolution,[status(thm)],[f126,f33])).
% 0.14/0.40 fof(f247,definition,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (sQ34_spl <=> (~iext(uri_rdf_first,sK7_skl,X0)|~iext(uri_rdf_first,sK6_skl,X1)|~iext(X0,X2,X3)|~iext(X1,X3,X4)|iext(sK8_skl,X2,X4)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK7_skl,X0)|~iext(uri_rdf_first,sK6_skl,X1)|~iext(X0,X2,X3)|~iext(X1,X3,X4)|iext(sK8_skl,X2,X4)|~sQ34_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f247])).
% 0.14/0.40 fof(f250,definition,(
% 0.14/0.40 sQ35_spl <=> (iext(uri_rdf_rest,sK6_skl,uri_rdf_nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f252,plain,(
% 0.14/0.40 ~iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)|sQ35_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f250])).
% 0.14/0.40 fof(f253,plain,(
% 0.14/0.40 sQ34_spl|~sQ35_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f246,f247,f250])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 $false|sQ35_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f252,f35])).
% 0.14/0.40 fof(f255,plain,(
% 0.14/0.40 sQ35_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f254])).
% 0.14/0.40 fof(f256,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,sK6_skl,X0)|~iext(sK8_skl,X1,X2)|~iext(X0,X2,X3)|iext(sK8_skl,X1,X3)|~sQ34_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f248,f32])).
% 0.14/0.40 fof(f257,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~iext(sK8_skl,X0,X1)|~iext(uri_rdf_rest,X1,X2)|iext(sK8_skl,X0,X2)|~sQ34_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f256,f34])).
% 0.14/0.40 fof(f268,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK10_skl,X0)|~iext(uri_rdf_first,sK9_skl,X1)|~iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)|~iext(X0,X2,X3)|~iext(X1,X3,X4)|iext(uri_skos_member,X2,X4))),
% 0.14/0.40 inference(resolution,[status(thm)],[f127,f28])).
% 0.14/0.40 fof(f269,definition,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (sQ38_spl <=> (~iext(uri_rdf_first,sK10_skl,X0)|~iext(uri_rdf_first,sK9_skl,X1)|~iext(X0,X2,X3)|~iext(X1,X3,X4)|iext(uri_skos_member,X2,X4)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f270,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK10_skl,X0)|~iext(uri_rdf_first,sK9_skl,X1)|~iext(X0,X2,X3)|~iext(X1,X3,X4)|iext(uri_skos_member,X2,X4)|~sQ38_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f269])).
% 0.14/0.40 fof(f272,definition,(
% 0.14/0.40 sQ39_spl <=> (iext(uri_rdf_rest,sK9_skl,uri_rdf_nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f274,plain,(
% 0.14/0.40 ~iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)|sQ39_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f272])).
% 0.14/0.40 fof(f275,plain,(
% 0.14/0.40 sQ38_spl|~sQ39_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f268,f269,f272])).
% 0.14/0.40 fof(f276,plain,(
% 0.14/0.40 $false|sQ39_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f274,f30])).
% 0.14/0.40 fof(f277,plain,(
% 0.14/0.40 sQ39_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f276])).
% 0.14/0.40 fof(f278,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~iext(uri_rdf_first,sK9_skl,X0)|~iext(sK8_skl,X1,X2)|~iext(X0,X2,X3)|iext(uri_skos_member,X1,X3)|~sQ38_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f270,f27])).
% 0.14/0.40 fof(f279,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~iext(sK8_skl,X0,X1)|~iext(uri_rdf_first,X1,X2)|iext(uri_skos_member,X0,X2)|~sQ38_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f278,f29])).
% 0.14/0.40 fof(f286,plain,(
% 0.14/0.40 ![X0]: (~iext(sK8_skl,uri_ex_MyOrderedCollection,X0)|~iext(uri_rdf_first,X0,uri_ex_Z)|~sQ38_spl|sQ2_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f279,f52])).
% 0.14/0.40 fof(f297,plain,(
% 0.14/0.40 ~iext(sK8_skl,uri_ex_MyOrderedCollection,sK3_skl)|~sQ38_spl|sQ2_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f286,f42])).
% 0.14/0.40 fof(f298,plain,(
% 0.14/0.40 ![X0]: (~iext(sK8_skl,uri_ex_MyOrderedCollection,X0)|~iext(uri_rdf_rest,X0,sK3_skl)|~sQ38_spl|sQ2_spl|~sQ34_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f297,f257])).
% 0.14/0.40 fof(f299,plain,(
% 0.14/0.40 ~iext(sK8_skl,uri_ex_MyOrderedCollection,sK4_skl)|~sQ38_spl|sQ2_spl|~sQ34_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f298,f41])).
% 0.14/0.40 fof(f300,plain,(
% 0.14/0.40 ![X0]: (~iext(sK8_skl,uri_ex_MyOrderedCollection,X0)|~iext(uri_rdf_rest,X0,sK4_skl)|~sQ38_spl|sQ2_spl|~sQ34_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f299,f257])).
% 0.14/0.40 fof(f301,plain,(
% 0.14/0.40 ~iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl)|~sQ38_spl|sQ2_spl|~sQ34_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f300,f39])).
% 0.14/0.40 fof(f302,plain,(
% 0.14/0.40 $false|~sQ38_spl|sQ2_spl|~sQ34_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f301,f136])).
% 0.14/0.40 fof(f303,plain,(
% 0.14/0.40 ~sQ38_spl|sQ2_spl|~sQ34_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f302])).
% 0.14/0.40 fof(f304,plain,(
% 0.14/0.40 ![X0]: (~iext(sK8_skl,uri_ex_MyOrderedCollection,X0)|~iext(uri_rdf_first,X0,uri_ex_X)|sQ0_spl|~sQ38_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f46,f279])).
% 0.14/0.40 fof(f305,plain,(
% 0.14/0.40 ~iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl)|sQ0_spl|~sQ38_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f304,f38])).
% 0.14/0.40 fof(f306,plain,(
% 0.14/0.40 $false|sQ0_spl|~sQ38_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f305,f136])).
% 0.14/0.40 fof(f307,plain,(
% 0.14/0.40 sQ0_spl|~sQ38_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f306])).
% 0.14/0.40 fof(f308,plain,(
% 0.14/0.40 ![X0]: (~iext(sK8_skl,uri_ex_MyOrderedCollection,X0)|~iext(uri_rdf_first,X0,uri_ex_Y)|sQ1_spl|~sQ38_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f49,f279])).
% 0.14/0.40 fof(f309,plain,(
% 0.14/0.40 ~iext(sK8_skl,uri_ex_MyOrderedCollection,sK4_skl)|sQ1_spl|~sQ38_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f308,f40])).
% 0.14/0.40 fof(f310,plain,(
% 0.14/0.40 ![X0]: (~iext(sK8_skl,uri_ex_MyOrderedCollection,X0)|~iext(uri_rdf_rest,X0,sK4_skl)|sQ1_spl|~sQ38_spl|~sQ34_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f309,f257])).
% 0.14/0.40 fof(f311,plain,(
% 0.14/0.40 ~iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl)|sQ1_spl|~sQ38_spl|~sQ34_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f310,f39])).
% 0.14/0.40 fof(f312,plain,(
% 0.14/0.40 $false|sQ1_spl|~sQ38_spl|~sQ34_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f311,f136])).
% 0.14/0.40 fof(f313,plain,(
% 0.14/0.40 sQ1_spl|~sQ38_spl|~sQ34_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f312])).
% 0.14/0.40 fof(f314,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f53,f253,f255,f275,f277,f303,f307,f313])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.044941 seconds
% 0.14/0.42 % CPU time: 0.161299 seconds
% 0.14/0.42 % Total memory used: 19.722 MB
% 0.14/0.42 % Net memory used: 19.405 MB
%------------------------------------------------------------------------------