%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO176+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:25:57 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO176+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 20 12:58:09 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f9,axiom,(
% 0.12/0.42 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f10,axiom,(
% 0.12/0.42 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f12,axiom,(
% 0.12/0.42 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f36,conjecture,(
% 0.12/0.42 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(X,U)| apart_point_and_line(X,V) ) )=> distinct_points(X,intersection_point(U,V)) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f37,negated_conjecture,(
% 0.12/0.42 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(X,U)| apart_point_and_line(X,V) ) )=> distinct_points(X,intersection_point(U,V)) ) ))),
% 0.12/0.42 inference(negated_conjecture,[status(cth)],[f36])).
% 0.12/0.42 fof(f54,plain,(
% 0.12/0.42 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/0.42 fof(f55,plain,(
% 0.12/0.42 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f54])).
% 0.12/0.42 fof(f56,plain,(
% 0.12/0.42 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.12/0.42 fof(f57,plain,(
% 0.12/0.42 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f56])).
% 0.12/0.42 fof(f60,plain,(
% 0.12/0.42 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.12/0.42 fof(f61,plain,(
% 0.12/0.42 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f60])).
% 0.12/0.42 fof(f62,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.42 fof(f127,plain,(
% 0.12/0.42 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(X,V)))&~distinct_points(X,intersection_point(U,V))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.12/0.42 fof(f128,plain,(
% 0.12/0.42 ?[X,U,V]: ((((?[Y]: distinct_points(X,Y))&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(X,V)))&~distinct_points(X,intersection_point(U,V)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f127])).
% 0.12/0.42 fof(f129,plain,(
% 0.12/0.42 (((distinct_points(sK0_skl,sK3_skl)&convergent_lines(sK1_skl,sK2_skl))&(apart_point_and_line(sK0_skl,sK1_skl)|apart_point_and_line(sK0_skl,sK2_skl)))&~distinct_points(sK0_skl,intersection_point(sK1_skl,sK2_skl)))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(U,sK1_skl),skolemize(V,sK2_skl),skolemize(Y,sK3_skl)],[f128])).
% 0.12/0.42 fof(f131,plain,(
% 0.12/0.42 convergent_lines(sK1_skl,sK2_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.42 fof(f132,plain,(
% 0.12/0.42 apart_point_and_line(sK0_skl,sK1_skl)|apart_point_and_line(sK0_skl,sK2_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.42 fof(f133,plain,(
% 0.12/0.42 ~distinct_points(sK0_skl,intersection_point(sK1_skl,sK2_skl))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.42 fof(f144,definition,(
% 0.12/0.42 sQ0_spl <=> (apart_point_and_line(sK0_skl,sK1_skl))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f145,plain,(
% 0.12/0.42 apart_point_and_line(sK0_skl,sK1_skl)|~sQ0_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f144])).
% 0.12/0.42 fof(f147,definition,(
% 0.12/0.42 sQ1_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f148,plain,(
% 0.12/0.42 apart_point_and_line(sK0_skl,sK2_skl)|~sQ1_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f147])).
% 0.12/0.42 fof(f150,plain,(
% 0.12/0.42 sQ0_spl|sQ1_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f132,f144,f147])).
% 0.12/0.42 fof(f156,plain,(
% 0.12/0.42 ![X0]: (distinct_points(sK0_skl,X0)|apart_point_and_line(X0,sK1_skl)|~sQ0_spl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f62,f145])).
% 0.12/0.42 fof(f165,plain,(
% 0.12/0.42 apart_point_and_line(intersection_point(sK1_skl,sK2_skl),sK1_skl)|~sQ0_spl),
% 0.12/0.42 inference(resolution,[status(thm)],[f156,f133])).
% 0.12/0.42 fof(f168,plain,(
% 0.12/0.42 ~convergent_lines(sK1_skl,sK2_skl)|~sQ0_spl),
% 0.12/0.42 inference(resolution,[status(thm)],[f165,f55])).
% 0.12/0.42 fof(f170,plain,(
% 0.12/0.42 $false|~sQ0_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f168,f131])).
% 0.12/0.42 fof(f171,plain,(
% 0.12/0.42 ~sQ0_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f170])).
% 0.12/0.42 fof(f172,plain,(
% 0.12/0.42 ![X0]: (distinct_points(sK0_skl,X0)|apart_point_and_line(X0,sK2_skl)|~sQ1_spl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f148,f62])).
% 0.12/0.42 fof(f173,plain,(
% 0.12/0.42 apart_point_and_line(intersection_point(sK1_skl,sK2_skl),sK2_skl)|~sQ1_spl),
% 0.12/0.42 inference(resolution,[status(thm)],[f172,f133])).
% 0.12/0.42 fof(f176,plain,(
% 0.12/0.42 ~convergent_lines(sK1_skl,sK2_skl)|~sQ1_spl),
% 0.12/0.42 inference(resolution,[status(thm)],[f173,f57])).
% 0.12/0.42 fof(f178,plain,(
% 0.12/0.42 $false|~sQ1_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f176,f131])).
% 0.12/0.42 fof(f179,plain,(
% 0.12/0.42 ~sQ1_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f178])).
% 0.12/0.42 fof(f180,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(sat_refutation,[status(thm)],[f150,f171,f179])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.035191 seconds
% 0.12/0.44 % CPU time: 0.074742 seconds
% 0.12/0.44 % Total memory used: 4.141 MB
% 0.12/0.44 % Net memory used: 4.124 MB
%------------------------------------------------------------------------------