%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:37:36 PM UTC 2026
% Result : Theorem 0.14s 10.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.59 % Computer : n019.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Mon Sep 21 07:41:47 UTC 2026
% 0.11/10.59 % CPUTime :
% 0.14/10.60 % Drodi V4.1.1
% 0.14/10.63 % Refutation found
% 0.14/10.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.63 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.63 fof(f1,axiom,(
% 0.14/10.63 (! [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) ) )) ) ) )),
% 0.14/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.63 fof(f2,axiom,(
% 0.14/10.63 (! [P1,P2] :( iext(uri_owl_inverseOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)<=> iext(P2,Y,X) ) )) ) )),
% 0.14/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.63 fof(f3,conjecture,(
% 0.14/10.63 ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ) ),
% 0.14/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.63 fof(f4,negated_conjecture,(
% 0.14/10.63 ~(( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ) )),
% 0.14/10.63 inference(negated_conjecture,[status(cth)],[f3])).
% 0.14/10.63 fof(f5,axiom,(
% 0.14/10.63 (? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)& iext(uri_rdf_first,BNODE_l22,BNODE_l3)& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ) )),
% 0.14/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.63 fof(f6,plain,(
% 0.14/10.63 ![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))))))),
% 0.14/10.63 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/10.63 fof(f7,plain,(
% 0.14/10.63 ![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)))))))),
% 0.14/10.63 inference(NNF_transformation,[status(thm)],[f6])).
% 0.14/10.63 fof(f8,plain,(
% 0.14/10.63 ![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))))))))),
% 0.14/10.63 inference(miniscoping,[status(thm)],[f7])).
% 0.14/10.63 fof(f9,plain,(
% 0.14/10.63 ![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))))))))),
% 0.14/10.63 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))],[f8])).
% 0.14/10.63 fof(f13,plain,(
% 0.14/10.63 ![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))),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/10.63 fof(f17,plain,(
% 0.14/10.63 ![P1,P2]: ((~iext(uri_owl_inverseOf,P1,P2)|((ip(P1)&ip(P2))&(![X,Y]: ((~iext(P1,X,Y)|iext(P2,Y,X))&(iext(P1,X,Y)|~iext(P2,Y,X))))))&(iext(uri_owl_inverseOf,P1,P2)|((~ip(P1)|~ip(P2))|(?[X,Y]: ((~iext(P1,X,Y)|~iext(P2,Y,X))&(iext(P1,X,Y)|iext(P2,Y,X)))))))),
% 0.14/10.63 inference(NNF_transformation,[status(thm)],[f2])).
% 0.14/10.63 fof(f18,plain,(
% 0.14/10.63 (![P1,P2]: (~iext(uri_owl_inverseOf,P1,P2)|((ip(P1)&ip(P2))&((![X,Y]: (~iext(P1,X,Y)|iext(P2,Y,X)))&(![X,Y]: (iext(P1,X,Y)|~iext(P2,Y,X)))))))&(![P1,P2]: (iext(uri_owl_inverseOf,P1,P2)|((~ip(P1)|~ip(P2))|(?[X,Y]: ((~iext(P1,X,Y)|~iext(P2,Y,X))&(iext(P1,X,Y)|iext(P2,Y,X)))))))),
% 0.14/10.63 inference(miniscoping,[status(thm)],[f17])).
% 0.14/10.63 fof(f19,plain,(
% 0.14/10.63 (![P1,P2]: (~iext(uri_owl_inverseOf,P1,P2)|((ip(P1)&ip(P2))&((![X,Y]: (~iext(P1,X,Y)|iext(P2,Y,X)))&(![X,Y]: (iext(P1,X,Y)|~iext(P2,Y,X)))))))&(![P1,P2]: (iext(uri_owl_inverseOf,P1,P2)|((~ip(P1)|~ip(P2))|((~iext(P1,sK3_skl(P2,P1),sK4_skl(P2,P1))|~iext(P2,sK4_skl(P2,P1),sK3_skl(P2,P1)))&(iext(P1,sK3_skl(P2,P1),sK4_skl(P2,P1))|iext(P2,sK4_skl(P2,P1),sK3_skl(P2,P1)))))))),
% 0.14/10.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(X,sK3_skl(P2,P1)),skolemize(Y,sK4_skl(P2,P1))],[f18])).
% 0.14/10.63 fof(f23,plain,(
% 0.14/10.63 ![X0,X1,X2,X3]: (~iext(uri_owl_inverseOf,X0,X1)|iext(X0,X2,X3)|~iext(X1,X3,X2))),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/10.63 fof(f26,plain,(
% 0.14/10.63 (~iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)|~iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice))),
% 0.14/10.63 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/10.63 fof(f27,plain,(
% 0.14/10.63 ~iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)|~iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/10.63 fof(f28,plain,(
% 0.14/10.63 ((((?[BNODE_l3]: ((?[BNODE_l22]: (((?[BNODE_l21]: ((((?[BNODE_l12]: (((?[BNODE_l11]: ((iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)&iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin))&iext(uri_rdf_rest,BNODE_l11,BNODE_l12)))&iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather))&iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)))&iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21))&iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle))&iext(uri_rdf_rest,BNODE_l21,BNODE_l22)))&iext(uri_rdf_first,BNODE_l22,BNODE_l3))&iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)))&iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)))&iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave))&iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob))&iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly))&iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)),
% 0.14/10.63 inference(miniscoping,[status(thm)],[f5])).
% 0.14/10.63 fof(f29,plain,(
% 0.14/10.63 (((((((((((((iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9_skl)&iext(uri_rdf_first,sK9_skl,uri_ex_hasCousin))&iext(uri_rdf_rest,sK9_skl,sK8_skl))&iext(uri_rdf_first,sK8_skl,uri_ex_hasFather))&iext(uri_rdf_rest,sK8_skl,uri_rdf_nil))&iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7_skl))&iext(uri_rdf_first,sK7_skl,uri_ex_hasUncle))&iext(uri_rdf_rest,sK7_skl,sK6_skl))&iext(uri_rdf_first,sK6_skl,sK5_skl))&iext(uri_rdf_rest,sK6_skl,uri_rdf_nil))&iext(uri_owl_inverseOf,sK5_skl,uri_ex_hasFather))&iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave))&iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob))&iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly))&iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)),
% 0.14/10.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(BNODE_l3,sK5_skl),skolemize(BNODE_l22,sK6_skl),skolemize(BNODE_l21,sK7_skl),skolemize(BNODE_l12,sK8_skl),skolemize(BNODE_l11,sK9_skl)],[f28])).
% 0.14/10.63 fof(f30,plain,(
% 0.14/10.63 iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9_skl)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f31,plain,(
% 0.14/10.63 iext(uri_rdf_first,sK9_skl,uri_ex_hasCousin)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f32,plain,(
% 0.14/10.63 iext(uri_rdf_rest,sK9_skl,sK8_skl)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f33,plain,(
% 0.14/10.63 iext(uri_rdf_first,sK8_skl,uri_ex_hasFather)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f34,plain,(
% 0.14/10.63 iext(uri_rdf_rest,sK8_skl,uri_rdf_nil)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f35,plain,(
% 0.14/10.63 iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7_skl)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f36,plain,(
% 0.14/10.63 iext(uri_rdf_first,sK7_skl,uri_ex_hasUncle)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f37,plain,(
% 0.14/10.63 iext(uri_rdf_rest,sK7_skl,sK6_skl)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f38,plain,(
% 0.14/10.63 iext(uri_rdf_first,sK6_skl,sK5_skl)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f39,plain,(
% 0.14/10.63 iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f40,plain,(
% 0.14/10.63 iext(uri_owl_inverseOf,sK5_skl,uri_ex_hasFather)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f41,plain,(
% 0.14/10.63 iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f42,plain,(
% 0.14/10.63 iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f43,plain,(
% 0.14/10.63 iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f44,plain,(
% 0.14/10.63 iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)),
% 0.14/10.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.63 fof(f45,definition,(
% 0.14/10.63 sQ0_spl <=> (iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly))),
% 0.14/10.63 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/10.63 fof(f47,plain,(
% 0.14/10.63 ~iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)|sQ0_spl),
% 0.14/10.63 inference(component_clause,[status(thm)],[f45])).
% 0.14/10.63 fof(f48,definition,(
% 0.14/10.63 sQ1_spl <=> (iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice))),
% 0.14/10.63 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/10.63 fof(f50,plain,(
% 0.14/10.63 ~iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)|sQ1_spl),
% 0.14/10.63 inference(component_clause,[status(thm)],[f48])).
% 0.14/10.63 fof(f51,plain,(
% 0.14/10.63 ~sQ0_spl|~sQ1_spl),
% 0.14/10.63 inference(split_clause,[status(thm)],[f27,f45,f48])).
% 0.14/10.63 fof(f98,plain,(
% 0.14/10.63 ![X0,X1,X2,X3,X4,X5,X6]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK6_skl)|~iext(uri_rdf_first,sK6_skl,X2)|~iext(uri_owl_propertyChainAxiom,X3,X0)|~iext(X1,X4,X5)|~iext(X2,X5,X6)|iext(X3,X4,X6))),
% 0.14/10.63 inference(resolution,[status(thm)],[f13,f39])).
% 0.14/10.63 fof(f99,plain,(
% 0.14/10.63 ![X0,X1,X2,X3,X4,X5,X6]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK8_skl)|~iext(uri_rdf_first,sK8_skl,X2)|~iext(uri_owl_propertyChainAxiom,X3,X0)|~iext(X1,X4,X5)|~iext(X2,X5,X6)|iext(X3,X4,X6))),
% 0.14/10.63 inference(resolution,[status(thm)],[f13,f34])).
% 0.14/10.63 fof(f107,plain,(
% 0.14/10.63 ![X0,X1]: (iext(sK5_skl,X0,X1)|~iext(uri_ex_hasFather,X1,X0))),
% 0.14/10.63 inference(resolution,[status(thm)],[f23,f40])).
% 0.14/10.63 fof(f158,plain,(
% 0.14/10.63 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK8_skl)|~iext(uri_owl_propertyChainAxiom,X2,X0)|~iext(X1,X3,X4)|~iext(uri_ex_hasFather,X4,X5)|iext(X2,X3,X5))),
% 0.14/10.63 inference(resolution,[status(thm)],[f99,f33])).
% 0.14/10.63 fof(f164,plain,(
% 0.14/10.63 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK6_skl)|~iext(uri_owl_propertyChainAxiom,X2,X0)|~iext(X1,X3,X4)|~iext(sK5_skl,X4,X5)|iext(X2,X3,X5))),
% 0.14/10.63 inference(resolution,[status(thm)],[f98,f38])).
% 0.14/10.63 fof(f184,plain,(
% 0.14/10.63 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK9_skl,X0)|~iext(uri_owl_propertyChainAxiom,X1,sK9_skl)|~iext(X0,X2,X3)|~iext(uri_ex_hasFather,X3,X4)|iext(X1,X2,X4))),
% 0.14/10.63 inference(resolution,[status(thm)],[f158,f32])).
% 0.14/10.63 fof(f185,plain,(
% 0.14/10.63 ![X0,X1,X2,X3]: (~iext(uri_owl_propertyChainAxiom,X0,sK9_skl)|~iext(uri_ex_hasCousin,X1,X2)|~iext(uri_ex_hasFather,X2,X3)|iext(X0,X1,X3))),
% 0.14/10.63 inference(resolution,[status(thm)],[f184,f31])).
% 0.14/10.63 fof(f186,plain,(
% 0.14/10.63 ![X0,X1,X2]: (~iext(uri_ex_hasCousin,X0,X1)|~iext(uri_ex_hasFather,X1,X2)|iext(uri_ex_hasUncle,X0,X2))),
% 0.14/10.63 inference(resolution,[status(thm)],[f185,f30])).
% 0.14/10.63 fof(f195,plain,(
% 0.14/10.63 ![X0]: (~iext(uri_ex_hasFather,uri_ex_bob,X0)|iext(uri_ex_hasUncle,uri_ex_alice,X0))),
% 0.14/10.63 inference(resolution,[status(thm)],[f186,f42])).
% 0.14/10.63 fof(f196,plain,(
% 0.14/10.64 ~iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)|sQ0_spl),
% 0.14/10.64 inference(resolution,[status(thm)],[f195,f47])).
% 0.14/10.64 fof(f197,plain,(
% 0.14/10.64 $false|sQ0_spl),
% 0.14/10.64 inference(forward_subsumption_resolution,[status(thm)],[f196,f43])).
% 0.14/10.64 fof(f198,plain,(
% 0.14/10.64 sQ0_spl),
% 0.14/10.64 inference(contradiction_clause,[status(thm)],[f197])).
% 0.14/10.64 fof(f199,plain,(
% 0.14/10.64 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK7_skl,X0)|~iext(uri_owl_propertyChainAxiom,X1,sK7_skl)|~iext(X0,X2,X3)|~iext(sK5_skl,X3,X4)|iext(X1,X2,X4))),
% 0.14/10.64 inference(resolution,[status(thm)],[f164,f37])).
% 0.14/10.64 fof(f200,plain,(
% 0.14/10.64 ![X0,X1,X2,X3]: (~iext(uri_owl_propertyChainAxiom,X0,sK7_skl)|~iext(uri_ex_hasUncle,X1,X2)|~iext(sK5_skl,X2,X3)|iext(X0,X1,X3))),
% 0.14/10.64 inference(resolution,[status(thm)],[f199,f36])).
% 0.14/10.64 fof(f201,plain,(
% 0.14/10.64 ![X0,X1,X2]: (~iext(uri_ex_hasUncle,X0,X1)|~iext(sK5_skl,X1,X2)|iext(uri_ex_hasCousin,X0,X2))),
% 0.14/10.64 inference(resolution,[status(thm)],[f200,f35])).
% 0.14/10.64 fof(f202,plain,(
% 0.14/10.64 ![X0,X1,X2]: (~iext(uri_ex_hasUncle,X0,X1)|iext(uri_ex_hasCousin,X0,X2)|~iext(uri_ex_hasFather,X2,X1))),
% 0.14/10.64 inference(resolution,[status(thm)],[f201,f107])).
% 0.14/10.64 fof(f203,plain,(
% 0.14/10.64 ![X0]: (~iext(uri_ex_hasUncle,X0,uri_ex_dave)|iext(uri_ex_hasCousin,X0,uri_ex_alice))),
% 0.14/10.64 inference(resolution,[status(thm)],[f202,f41])).
% 0.14/10.64 fof(f223,plain,(
% 0.14/10.64 iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)),
% 0.14/10.64 inference(resolution,[status(thm)],[f203,f44])).
% 0.14/10.64 fof(f231,plain,(
% 0.14/10.64 $false|sQ1_spl),
% 0.14/10.64 inference(forward_subsumption_resolution,[status(thm)],[f223,f50])).
% 0.14/10.64 fof(f232,plain,(
% 0.14/10.64 sQ1_spl),
% 0.14/10.64 inference(contradiction_clause,[status(thm)],[f231])).
% 0.14/10.64 fof(f233,plain,(
% 0.14/10.64 $false),
% 0.14/10.64 inference(sat_refutation,[status(thm)],[f51,f198,f232])).
% 0.14/10.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.65 % Elapsed time: 0.050784 seconds
% 0.14/10.65 % CPU time: 0.219442 seconds
% 0.14/10.65 % Total memory used: 20.484 MB
% 0.14/10.65 % Net memory used: 20.130 MB
%------------------------------------------------------------------------------