%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO183+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:25:59 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO183+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 13:05:09 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (! [X] : ~ distinct_points(X,X) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f11,axiom,(
% 0.11/0.38 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f13,conjecture,(
% 0.11/0.38 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ~ distinct_lines(U,line_connecting(X,Y)) )=> ( ~ apart_point_and_line(X,U)& ~ apart_point_and_line(Y,U) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f14,negated_conjecture,(
% 0.11/0.38 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ~ distinct_lines(U,line_connecting(X,Y)) )=> ( ~ apart_point_and_line(X,U)& ~ apart_point_and_line(Y,U) ) ) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f13])).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 ![X0]: (~distinct_points(X0,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f27,plain,(
% 0.11/0.38 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f28,plain,(
% 0.11/0.38 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f27])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f40])).
% 0.11/0.38 fof(f42,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.11/0.38 fof(f45,plain,(
% 0.11/0.38 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_lines(U,line_connecting(X,Y)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.11/0.38 fof(f46,plain,(
% 0.11/0.38 ?[X,Y,U]: (((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&~distinct_lines(U,line_connecting(X,Y)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f45])).
% 0.11/0.38 fof(f47,plain,(
% 0.11/0.38 (((distinct_points(sK0_skl,sK1_skl)&convergent_lines(sK2_skl,sK3_skl))&~distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&(apart_point_and_line(sK0_skl,sK2_skl)|apart_point_and_line(sK1_skl,sK2_skl)))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(U,sK2_skl),skolemize(V,sK3_skl)],[f46])).
% 0.11/0.38 fof(f48,plain,(
% 0.11/0.38 distinct_points(sK0_skl,sK1_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.38 fof(f50,plain,(
% 0.11/0.38 ~distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.38 fof(f51,plain,(
% 0.11/0.38 apart_point_and_line(sK0_skl,sK2_skl)|apart_point_and_line(sK1_skl,sK2_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.38 fof(f52,definition,(
% 0.11/0.38 sQ0_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f53,plain,(
% 0.11/0.38 apart_point_and_line(sK0_skl,sK2_skl)|~sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.38 fof(f55,definition,(
% 0.11/0.38 sQ1_spl <=> (apart_point_and_line(sK1_skl,sK2_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f56,plain,(
% 0.11/0.38 apart_point_and_line(sK1_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f55])).
% 0.11/0.38 fof(f58,plain,(
% 0.11/0.38 sQ0_spl|sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f51,f52,f55])).
% 0.11/0.38 fof(f92,definition,(
% 0.11/0.38 sQ2_spl <=> (distinct_points(sK0_skl,sK1_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f94,plain,(
% 0.11/0.38 ~distinct_points(sK0_skl,sK1_skl)|sQ2_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f92])).
% 0.11/0.38 fof(f149,plain,(
% 0.11/0.38 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(sK0_skl,X0)|~sQ0_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f42,f53])).
% 0.11/0.38 fof(f150,plain,(
% 0.11/0.38 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ0_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f149,f50])).
% 0.11/0.38 fof(f154,plain,(
% 0.11/0.38 ~distinct_points(sK0_skl,sK1_skl)|distinct_points(sK0_skl,sK0_skl)|~sQ0_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f150,f29])).
% 0.11/0.38 fof(f159,definition,(
% 0.11/0.38 sQ11_spl <=> (distinct_points(sK0_skl,sK0_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f160,plain,(
% 0.11/0.38 distinct_points(sK0_skl,sK0_skl)|~sQ11_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f159])).
% 0.11/0.38 fof(f162,plain,(
% 0.11/0.38 ~sQ2_spl|sQ11_spl|~sQ0_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f154,f92,f159,f52])).
% 0.11/0.38 fof(f164,plain,(
% 0.11/0.38 $false|~sQ11_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f160,f15])).
% 0.11/0.38 fof(f165,plain,(
% 0.11/0.38 ~sQ11_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f164])).
% 0.11/0.38 fof(f166,plain,(
% 0.11/0.38 $false|sQ2_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f94,f48])).
% 0.11/0.38 fof(f167,plain,(
% 0.11/0.38 sQ2_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f166])).
% 0.11/0.38 fof(f169,plain,(
% 0.11/0.38 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(sK1_skl,X0)|~sQ1_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f56,f42])).
% 0.11/0.38 fof(f183,plain,(
% 0.11/0.38 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ1_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f169,f50])).
% 0.11/0.38 fof(f189,plain,(
% 0.11/0.38 ~distinct_points(sK0_skl,sK1_skl)|distinct_points(sK1_skl,sK1_skl)|~sQ1_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f183,f30])).
% 0.11/0.38 fof(f194,definition,(
% 0.11/0.38 sQ12_spl <=> (distinct_points(sK1_skl,sK1_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f195,plain,(
% 0.11/0.38 distinct_points(sK1_skl,sK1_skl)|~sQ12_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f194])).
% 0.11/0.38 fof(f197,plain,(
% 0.11/0.38 ~sQ2_spl|sQ12_spl|~sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f189,f92,f194,f55])).
% 0.11/0.38 fof(f199,plain,(
% 0.11/0.38 $false|~sQ12_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f195,f15])).
% 0.11/0.38 fof(f200,plain,(
% 0.11/0.38 ~sQ12_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f199])).
% 0.11/0.38 fof(f201,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f58,f162,f165,f167,f197,f200])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.037973 seconds
% 0.14/0.41 % CPU time: 0.064512 seconds
% 0.14/0.41 % Total memory used: 4.179 MB
% 0.14/0.41 % Net memory used: 4.090 MB
%------------------------------------------------------------------------------