%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO176+2 : TPTP v9.3.1. Released v3.3.0.
% 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 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO176+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 : Sun Sep 20 12:59:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,conjecture,(
% 0.14/0.38 (! [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)) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f14,negated_conjecture,(
% 0.14/0.38 ~((! [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)) ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f13])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f31])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 (?[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))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.14/0.38 fof(f46,plain,(
% 0.14/0.38 ?[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)))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f45])).
% 0.14/0.38 fof(f47,plain,(
% 0.14/0.38 (((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)))),
% 0.14/0.38 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)],[f46])).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 convergent_lines(sK1_skl,sK2_skl)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 apart_point_and_line(sK0_skl,sK1_skl)|apart_point_and_line(sK0_skl,sK2_skl)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.38 fof(f51,plain,(
% 0.14/0.38 ~distinct_points(sK0_skl,intersection_point(sK1_skl,sK2_skl))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.38 fof(f52,definition,(
% 0.14/0.38 sQ0_spl <=> (apart_point_and_line(sK0_skl,sK1_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 apart_point_and_line(sK0_skl,sK1_skl)|~sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.38 fof(f55,definition,(
% 0.14/0.38 sQ1_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 apart_point_and_line(sK0_skl,sK2_skl)|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f55])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f50,f52,f55])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ![X0]: (~convergent_lines(sK1_skl,X0)|distinct_points(sK0_skl,intersection_point(sK1_skl,X0))|~sQ0_spl)),
% 0.14/0.38 inference(resolution,[status(thm)],[f33,f53])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 ~convergent_lines(sK1_skl,sK2_skl)|~sQ0_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f59,f51])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 $false|~sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f61,f49])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 ~sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f62])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 ![X0]: (~convergent_lines(X0,sK2_skl)|distinct_points(sK0_skl,intersection_point(X0,sK2_skl))|~sQ1_spl)),
% 0.14/0.38 inference(resolution,[status(thm)],[f56,f34])).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 ~convergent_lines(sK1_skl,sK2_skl)|~sQ1_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f64,f51])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 $false|~sQ1_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f67,f49])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 ~sQ1_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f68])).
% 0.14/0.38 fof(f70,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f58,f63,f69])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.034467 seconds
% 0.14/0.40 % CPU time: 0.084178 seconds
% 0.14/0.40 % Total memory used: 12.274 MB
% 0.14/0.40 % Net memory used: 11.997 MB
%------------------------------------------------------------------------------