%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO179+1 : 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 12:25:58 PM UTC 2026
% Result : Theorem 0.17s 5.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO179+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n010.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Sun Sep 20 13:01:30 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.17/5.47 % Refutation found
% 0.17/5.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/5.47 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.47 fof(f7,axiom,(
% 0.17/5.47 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.17/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.47 fof(f8,axiom,(
% 0.17/5.47 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.17/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.47 fof(f12,axiom,(
% 0.17/5.47 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.17/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.47 fof(f13,axiom,(
% 0.17/5.47 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.17/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.47 fof(f15,conjecture,(
% 0.17/5.47 (! [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)) ) ) )),
% 0.17/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.47 fof(f16,negated_conjecture,(
% 0.17/5.47 ~((! [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)) ) ) ))),
% 0.17/5.47 inference(negated_conjecture,[status(cth)],[f15])).
% 0.17/5.47 fof(f29,plain,(
% 0.17/5.47 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.17/5.47 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.17/5.47 fof(f30,plain,(
% 0.17/5.47 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f29])).
% 0.17/5.47 fof(f31,plain,(
% 0.17/5.47 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.17/5.47 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.17/5.47 fof(f32,plain,(
% 0.17/5.47 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/5.47 fof(f39,plain,(
% 0.17/5.47 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.17/5.47 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.17/5.47 fof(f40,plain,(
% 0.17/5.47 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.17/5.47 inference(miniscoping,[status(thm)],[f39])).
% 0.17/5.47 fof(f41,plain,(
% 0.17/5.47 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f40])).
% 0.17/5.47 fof(f42,plain,(
% 0.17/5.47 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.17/5.47 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.17/5.47 fof(f43,plain,(
% 0.17/5.47 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.17/5.47 inference(miniscoping,[status(thm)],[f42])).
% 0.17/5.47 fof(f44,plain,(
% 0.17/5.47 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f43])).
% 0.17/5.47 fof(f48,plain,(
% 0.17/5.47 (?[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)))))),
% 0.17/5.47 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.17/5.47 fof(f49,plain,(
% 0.17/5.47 ((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))))),
% 0.17/5.47 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)],[f48])).
% 0.17/5.47 fof(f50,plain,(
% 0.17/5.47 distinct_points(sK0_skl,sK1_skl)),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/5.47 fof(f51,plain,(
% 0.17/5.47 apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/5.47 fof(f52,plain,(
% 0.17/5.47 ~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))),
% 0.17/5.47 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/5.47 fof(f53,definition,(
% 0.17/5.47 sQ0_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl)))),
% 0.17/5.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/5.47 fof(f55,plain,(
% 0.17/5.47 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl))|sQ0_spl),
% 0.17/5.47 inference(component_clause,[status(thm)],[f53])).
% 0.17/5.47 fof(f56,definition,(
% 0.17/5.47 sQ1_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl)))),
% 0.17/5.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/5.47 fof(f58,plain,(
% 0.17/5.47 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl))|sQ1_spl),
% 0.17/5.47 inference(component_clause,[status(thm)],[f56])).
% 0.17/5.47 fof(f59,plain,(
% 0.17/5.47 ~sQ0_spl|~sQ1_spl),
% 0.17/5.47 inference(split_clause,[status(thm)],[f52,f53,f56])).
% 0.17/5.47 fof(f63,plain,(
% 0.17/5.47 ![X0]: (distinct_points(sK2_skl,X0)|apart_point_and_line(X0,line_connecting(sK0_skl,sK1_skl)))),
% 0.17/5.47 inference(resolution,[status(thm)],[f41,f51])).
% 0.17/5.47 fof(f64,plain,(
% 0.17/5.47 ![X0]: (distinct_lines(line_connecting(sK0_skl,sK1_skl),X0)|apart_point_and_line(sK2_skl,X0))),
% 0.17/5.47 inference(resolution,[status(thm)],[f44,f51])).
% 0.17/5.47 fof(f82,definition,(
% 0.17/5.47 sQ4_spl <=> (distinct_points(sK0_skl,sK1_skl))),
% 0.17/5.47 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/5.47 fof(f84,plain,(
% 0.17/5.47 ~distinct_points(sK0_skl,sK1_skl)|sQ4_spl),
% 0.17/5.47 inference(component_clause,[status(thm)],[f82])).
% 0.17/5.47 fof(f92,plain,(
% 0.17/5.47 distinct_points(sK2_skl,sK1_skl)|~distinct_points(sK0_skl,sK1_skl)),
% 0.17/5.47 inference(resolution,[status(thm)],[f63,f32])).
% 0.17/5.47 fof(f93,plain,(
% 0.17/5.47 distinct_points(sK2_skl,sK0_skl)|~distinct_points(sK0_skl,sK1_skl)),
% 0.17/5.47 inference(resolution,[status(thm)],[f63,f30])).
% 0.17/5.47 fof(f96,definition,(
% 0.17/5.47 sQ6_spl <=> (distinct_points(sK2_skl,sK1_skl))),
% 0.17/5.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/5.47 fof(f97,plain,(
% 0.17/5.47 distinct_points(sK2_skl,sK1_skl)|~sQ6_spl),
% 0.17/5.47 inference(component_clause,[status(thm)],[f96])).
% 0.17/5.47 fof(f99,plain,(
% 0.17/5.47 sQ6_spl|~sQ4_spl),
% 0.17/5.47 inference(split_clause,[status(thm)],[f92,f96,f82])).
% 0.17/5.47 fof(f100,definition,(
% 0.17/5.47 sQ7_spl <=> (distinct_points(sK2_skl,sK0_skl))),
% 0.17/5.47 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/5.47 fof(f101,plain,(
% 0.17/5.47 distinct_points(sK2_skl,sK0_skl)|~sQ7_spl),
% 0.17/5.47 inference(component_clause,[status(thm)],[f100])).
% 0.17/5.47 fof(f103,plain,(
% 0.17/5.47 sQ7_spl|~sQ4_spl),
% 0.17/5.47 inference(split_clause,[status(thm)],[f93,f100,f82])).
% 0.17/5.47 fof(f104,plain,(
% 0.17/5.47 apart_point_and_line(sK2_skl,line_connecting(sK2_skl,sK0_skl))|sQ0_spl),
% 0.17/5.47 inference(resolution,[status(thm)],[f64,f55])).
% 0.17/5.47 fof(f114,plain,(
% 0.17/5.47 ~distinct_points(sK2_skl,sK0_skl)|sQ0_spl),
% 0.17/5.47 inference(resolution,[status(thm)],[f104,f30])).
% 0.17/5.47 fof(f117,plain,(
% 0.17/5.47 $false|~sQ7_spl|sQ0_spl),
% 0.17/5.47 inference(forward_subsumption_resolution,[status(thm)],[f114,f101])).
% 0.17/5.47 fof(f118,plain,(
% 0.17/5.47 ~sQ7_spl|sQ0_spl),
% 0.17/5.47 inference(contradiction_clause,[status(thm)],[f117])).
% 0.17/5.47 fof(f119,plain,(
% 0.17/5.47 $false|sQ4_spl),
% 0.17/5.47 inference(forward_subsumption_resolution,[status(thm)],[f84,f50])).
% 0.17/5.47 fof(f120,plain,(
% 0.17/5.47 sQ4_spl),
% 0.17/5.47 inference(contradiction_clause,[status(thm)],[f119])).
% 0.17/5.47 fof(f128,plain,(
% 0.17/5.47 apart_point_and_line(sK2_skl,line_connecting(sK2_skl,sK1_skl))|sQ1_spl),
% 0.17/5.47 inference(resolution,[status(thm)],[f58,f64])).
% 0.17/5.47 fof(f132,plain,(
% 0.17/5.47 ~distinct_points(sK2_skl,sK1_skl)|sQ1_spl),
% 0.17/5.47 inference(resolution,[status(thm)],[f128,f30])).
% 0.17/5.47 fof(f135,plain,(
% 0.17/5.47 $false|~sQ6_spl|sQ1_spl),
% 0.17/5.47 inference(forward_subsumption_resolution,[status(thm)],[f132,f97])).
% 0.17/5.47 fof(f136,plain,(
% 0.17/5.47 ~sQ6_spl|sQ1_spl),
% 0.17/5.47 inference(contradiction_clause,[status(thm)],[f135])).
% 0.17/5.47 fof(f137,plain,(
% 0.17/5.47 $false),
% 0.17/5.47 inference(sat_refutation,[status(thm)],[f59,f99,f103,f118,f120,f136])).
% 0.17/5.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.54 % Elapsed time: 0.075131 seconds
% 0.22/5.54 % CPU time: 0.069363 seconds
% 0.22/5.54 % Total memory used: 1.704 MB
% 0.22/5.54 % Net memory used: 1.688 MB
%------------------------------------------------------------------------------