%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB031+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 : n016.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 02:37:40 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB031+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
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:47:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (! [X] : ir(X) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (! [X] :( icext(uri_owl_Thing,X)<=> ir(X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (! [X] : ~ icext(uri_owl_Nothing,X) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (! [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 ) )) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (! [C1,C2] :( iext(uri_owl_equivalentClass,C1,C2)<=> ( ic(C1)& ic(C2)& (! [X] :( icext(C1,X)<=> icext(C2,X) ) )) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (? [BNODE_x,BNODE_l] :( iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x)& iext(uri_owl_oneOf,BNODE_x,BNODE_l)& iext(uri_rdf_first,BNODE_l,uri_ex_w)& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 ![X0]: (ir(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X]: ((~icext(uri_owl_Thing,X)|ir(X))&(icext(uri_owl_Thing,X)|~ir(X)))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 (![X]: (~icext(uri_owl_Thing,X)|ir(X)))&(![X]: (icext(uri_owl_Thing,X)|~ir(X)))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X0]: (icext(uri_owl_Thing,X0)|~ir(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ![X0]: (~icext(uri_owl_Nothing,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ![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)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![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)))))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ![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))))))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![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)))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(Z,A1,S1))],[f15])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![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)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 ![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)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f22,plain,(
% 0.12/0.38 ![C1,C2]: ((~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&(![X]: ((~icext(C1,X)|icext(C2,X))&(icext(C1,X)|~icext(C2,X))))))&(iext(uri_owl_equivalentClass,C1,C2)|((~ic(C1)|~ic(C2))|(?[X]: ((~icext(C1,X)|~icext(C2,X))&(icext(C1,X)|icext(C2,X)))))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 (![C1,C2]: (~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&((![X]: (~icext(C1,X)|icext(C2,X)))&(![X]: (icext(C1,X)|~icext(C2,X)))))))&(![C1,C2]: (iext(uri_owl_equivalentClass,C1,C2)|((~ic(C1)|~ic(C2))|(?[X]: ((~icext(C1,X)|~icext(C2,X))&(icext(C1,X)|icext(C2,X)))))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.38 fof(f24,plain,(
% 0.12/0.38 (![C1,C2]: (~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&((![X]: (~icext(C1,X)|icext(C2,X)))&(![X]: (icext(C1,X)|~icext(C2,X)))))))&(![C1,C2]: (iext(uri_owl_equivalentClass,C1,C2)|((~ic(C1)|~ic(C2))|((~icext(C1,sK1_skl(C2,C1))|~icext(C2,sK1_skl(C2,C1)))&(icext(C1,sK1_skl(C2,C1))|icext(C2,sK1_skl(C2,C1)))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f23])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~iext(uri_owl_equivalentClass,X0,X1)|~icext(X0,X2)|icext(X1,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.38 fof(f31,plain,(
% 0.12/0.38 ?[BNODE_l]: (((?[BNODE_x]: (iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x)&iext(uri_owl_oneOf,BNODE_x,BNODE_l)))&iext(uri_rdf_first,BNODE_l,uri_ex_w))&iext(uri_rdf_rest,BNODE_l,uri_rdf_nil))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 (((iext(uri_owl_equivalentClass,uri_owl_Thing,sK3_skl)&iext(uri_owl_oneOf,sK3_skl,sK2_skl))&iext(uri_rdf_first,sK2_skl,uri_ex_w))&iext(uri_rdf_rest,sK2_skl,uri_rdf_nil))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(BNODE_l,sK2_skl),skolemize(BNODE_x,sK3_skl)],[f31])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 iext(uri_owl_equivalentClass,uri_owl_Thing,sK3_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 iext(uri_owl_oneOf,sK3_skl,sK2_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 iext(uri_rdf_first,sK2_skl,uri_ex_w)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 iext(uri_rdf_rest,sK2_skl,uri_rdf_nil)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 ![X0]: (icext(uri_owl_Thing,X0))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f11,f7])).
% 0.12/0.38 fof(f38,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,uri_rdf_nil)|~iext(uri_owl_oneOf,X2,X0)|icext(X2,X1))),
% 0.12/0.38 inference(destructive_equality_resolution,[status(thm)],[f19])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X0]: (~icext(uri_owl_Thing,X0)|icext(sK3_skl,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f27,f33])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 ![X0]: (icext(sK3_skl,X0))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f42,f37])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~iext(uri_rdf_first,sK2_skl,X0)|~iext(uri_owl_oneOf,X1,sK2_skl)|~icext(X1,X2)|X2=X0)),
% 0.12/0.38 inference(resolution,[status(thm)],[f18,f36])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ![X0,X1]: (~iext(uri_rdf_first,sK2_skl,X0)|~icext(sK3_skl,X1)|X1=X0)),
% 0.12/0.38 inference(resolution,[status(thm)],[f44,f34])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 ![X0,X1]: (~iext(uri_rdf_first,sK2_skl,X0)|X1=X0)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f47,f43])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ![X0]: (X0=uri_ex_w)),
% 0.12/0.38 inference(resolution,[status(thm)],[f48,f35])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ![X0,X1]: (X0=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f49,f49])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ![X0]: (iext(uri_rdf_first,sK2_skl,X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f49,f35])).
% 0.12/0.38 fof(f54,plain,(
% 0.12/0.38 ![X0,X1]: (~iext(uri_rdf_first,sK2_skl,X0)|~iext(uri_owl_oneOf,X1,sK2_skl)|icext(X1,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f38,f36])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 ![X0,X1]: (~iext(uri_owl_oneOf,X0,sK2_skl)|icext(X0,X1))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f54,f51])).
% 0.12/0.38 fof(f56,plain,(
% 0.12/0.38 ![X0,X1]: (iext(X0,sK2_skl,X1))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f50,f51])).
% 0.12/0.38 fof(f67,plain,(
% 0.12/0.38 ![X0,X1,X2]: (iext(X0,X1,X2))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f50,f56])).
% 0.12/0.38 fof(f74,plain,(
% 0.12/0.38 ![X0,X1]: (icext(X0,X1))),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f55,f67])).
% 0.12/0.38 fof(f77,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f12,f74])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.035585 seconds
% 0.12/0.40 % CPU time: 0.075328 seconds
% 0.12/0.40 % Total memory used: 1.770 MB
% 0.12/0.40 % Net memory used: 1.739 MB
%------------------------------------------------------------------------------