%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO179+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:25:58 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO179+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 13:34:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (! [X] : ~ distinct_points(X,X) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,axiom,(
% 0.10/0.41 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,axiom,(
% 0.10/0.41 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,axiom,(
% 0.10/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f13,axiom,(
% 0.10/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f36,conjecture,(
% 0.10/0.41 (! [X,Y,Z] :( ( distinct_points(X,Y)& apart_point_and_line(Z,line_connecting(X,Y)) )=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f37,negated_conjecture,(
% 0.10/0.41 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& apart_point_and_line(Z,line_connecting(X,Y)) )=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f36])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 ![X0]: (~distinct_points(X0,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f41])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f52])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f60])).
% 0.10/0.41 fof(f62,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f61])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f63])).
% 0.10/0.41 fof(f65,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.41 fof(f127,plain,(
% 0.10/0.41 (?[X,Y,Z]: ((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_lines(line_connecting(X,Y),line_connecting(Z,X))|~distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 ((distinct_points(sK0_skl,sK1_skl)&apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&(~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl))|~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl)],[f127])).
% 0.10/0.41 fof(f129,plain,(
% 0.10/0.41 distinct_points(sK0_skl,sK1_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f128])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f128])).
% 0.10/0.41 fof(f131,plain,(
% 0.10/0.41 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl))|~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f128])).
% 0.10/0.41 fof(f142,definition,(
% 0.10/0.41 sQ0_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl)))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f144,plain,(
% 0.10/0.41 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl))|sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f142])).
% 0.10/0.41 fof(f145,definition,(
% 0.10/0.41 sQ1_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl)))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f147,plain,(
% 0.10/0.41 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl))|sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.10/0.41 fof(f148,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f131,f142,f145])).
% 0.10/0.41 fof(f149,plain,(
% 0.10/0.41 ![X0]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f43,f129])).
% 0.10/0.41 fof(f150,plain,(
% 0.10/0.41 ![X0,X1]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X1)|distinct_points(X0,X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f149,f43])).
% 0.10/0.41 fof(f158,plain,(
% 0.10/0.41 ![X0,X1,X2]: (distinct_points(sK1_skl,X0)|distinct_points(X1,X0)|distinct_points(sK0_skl,X2)|distinct_points(X1,X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f150,f43])).
% 0.10/0.41 fof(f174,definition,(
% 0.10/0.41 sQ4_spl <=> (distinct_points(sK0_skl,sK1_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f185,plain,(
% 0.10/0.41 ![X0,X1]: (distinct_points(X0,sK1_skl)|distinct_points(sK0_skl,X1)|distinct_points(X0,X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f158,f38])).
% 0.10/0.41 fof(f199,definition,(
% 0.10/0.41 ![X1,X2]: (sQ7_spl <=> (distinct_points(sK0_skl,X1)|distinct_points(X2,X1)))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f200,plain,(
% 0.10/0.41 ![X0,X1]: (distinct_points(sK0_skl,X0)|distinct_points(X1,X0)|~sQ7_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f199])).
% 0.10/0.41 fof(f207,plain,(
% 0.10/0.41 ![X0]: (distinct_points(sK2_skl,X0)|apart_point_and_line(X0,line_connecting(sK0_skl,sK1_skl)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f62,f130])).
% 0.10/0.41 fof(f208,plain,(
% 0.10/0.41 ![X0]: (distinct_lines(line_connecting(sK0_skl,sK1_skl),X0)|apart_point_and_line(sK2_skl,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f65,f130])).
% 0.10/0.41 fof(f228,plain,(
% 0.10/0.41 ![X0,X1]: (distinct_points(sK0_skl,sK1_skl)|distinct_points(sK0_skl,X0)|distinct_points(X1,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f185,f43])).
% 0.10/0.41 fof(f234,plain,(
% 0.10/0.41 sQ4_spl|sQ7_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f228,f174,f199])).
% 0.10/0.41 fof(f237,plain,(
% 0.10/0.41 $false|~sQ7_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f200,f38])).
% 0.10/0.41 fof(f241,plain,(
% 0.10/0.41 ~sQ7_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f237])).
% 0.10/0.41 fof(f246,plain,(
% 0.10/0.41 distinct_points(sK2_skl,sK1_skl)|~distinct_points(sK0_skl,sK1_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f207,f53])).
% 0.10/0.41 fof(f247,plain,(
% 0.10/0.41 distinct_points(sK2_skl,sK0_skl)|~distinct_points(sK0_skl,sK1_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f207,f51])).
% 0.10/0.41 fof(f250,definition,(
% 0.10/0.41 sQ8_spl <=> (distinct_points(sK2_skl,sK1_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f251,plain,(
% 0.10/0.41 distinct_points(sK2_skl,sK1_skl)|~sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f250])).
% 0.10/0.41 fof(f253,plain,(
% 0.10/0.41 sQ8_spl|~sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f246,f250,f174])).
% 0.10/0.41 fof(f254,definition,(
% 0.10/0.41 sQ9_spl <=> (distinct_points(sK2_skl,sK0_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f255,plain,(
% 0.10/0.41 distinct_points(sK2_skl,sK0_skl)|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f254])).
% 0.10/0.41 fof(f257,plain,(
% 0.10/0.41 sQ9_spl|~sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f247,f254,f174])).
% 0.10/0.41 fof(f268,plain,(
% 0.10/0.41 apart_point_and_line(sK2_skl,line_connecting(sK2_skl,sK0_skl))|sQ0_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f208,f144])).
% 0.10/0.41 fof(f276,plain,(
% 0.10/0.41 ~distinct_points(sK2_skl,sK0_skl)|sQ0_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f268,f51])).
% 0.10/0.41 fof(f279,plain,(
% 0.10/0.41 $false|~sQ9_spl|sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f276,f255])).
% 0.10/0.41 fof(f280,plain,(
% 0.10/0.41 ~sQ9_spl|sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f279])).
% 0.10/0.41 fof(f311,plain,(
% 0.10/0.41 apart_point_and_line(sK2_skl,line_connecting(sK2_skl,sK1_skl))|sQ1_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f147,f208])).
% 0.10/0.41 fof(f312,plain,(
% 0.10/0.41 ~distinct_points(sK2_skl,sK1_skl)|sQ1_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f311,f51])).
% 0.10/0.41 fof(f315,plain,(
% 0.10/0.41 $false|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f312,f251])).
% 0.10/0.41 fof(f316,plain,(
% 0.10/0.41 ~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f315])).
% 0.10/0.41 fof(f317,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f148,f234,f241,f253,f257,f280,f316])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.059086 seconds
% 0.10/0.44 % CPU time: 0.153042 seconds
% 0.10/0.44 % Total memory used: 18.859 MB
% 0.10/0.44 % Net memory used: 18.712 MB
%------------------------------------------------------------------------------