%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO179+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 : n018.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 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO179+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 13:05:13 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f1,axiom,(
% 0.18/0.49 (! [X] : ~ distinct_points(X,X) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f7,axiom,(
% 0.18/0.49 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f11,axiom,(
% 0.18/0.49 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f13,conjecture,(
% 0.18/0.49 (! [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)) ) ) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f14,negated_conjecture,(
% 0.18/0.49 ~((! [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)) ) ) ))),
% 0.18/0.49 inference(negated_conjecture,[status(cth)],[f13])).
% 0.18/0.49 fof(f15,plain,(
% 0.18/0.49 ![X0]: (~distinct_points(X0,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.49 fof(f27,plain,(
% 0.18/0.49 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.18/0.49 fof(f28,plain,(
% 0.18/0.49 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f27])).
% 0.18/0.49 fof(f29,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f28])).
% 0.18/0.49 fof(f30,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f28])).
% 0.18/0.49 fof(f40,plain,(
% 0.18/0.49 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.18/0.49 fof(f41,plain,(
% 0.18/0.49 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f40])).
% 0.18/0.49 fof(f42,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f41])).
% 0.18/0.49 fof(f45,plain,(
% 0.18/0.49 (?[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)))))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.18/0.49 fof(f46,plain,(
% 0.18/0.49 ((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))))),
% 0.18/0.49 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)],[f45])).
% 0.18/0.49 fof(f47,plain,(
% 0.18/0.49 distinct_points(sK0_skl,sK1_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f46])).
% 0.18/0.49 fof(f48,plain,(
% 0.18/0.49 apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f46])).
% 0.18/0.49 fof(f49,plain,(
% 0.18/0.49 ~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))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f46])).
% 0.18/0.49 fof(f50,definition,(
% 0.18/0.49 sQ0_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl)))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f52,plain,(
% 0.18/0.49 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK0_skl))|sQ0_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f50])).
% 0.18/0.52 fof(f53,definition,(
% 0.18/0.52 sQ1_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl)))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f55,plain,(
% 0.18/0.52 ~distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK2_skl,sK1_skl))|sQ1_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f53])).
% 0.18/0.52 fof(f56,plain,(
% 0.18/0.52 ~sQ0_spl|~sQ1_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f49,f50,f53])).
% 0.18/0.52 fof(f61,plain,(
% 0.18/0.52 ![X0]: (distinct_lines(line_connecting(sK0_skl,sK1_skl),X0)|apart_point_and_line(sK2_skl,X0))),
% 0.18/0.52 inference(resolution,[status(thm)],[f42,f48])).
% 0.18/0.52 fof(f62,plain,(
% 0.18/0.52 ~distinct_points(sK0_skl,sK1_skl)|distinct_points(sK2_skl,sK0_skl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f29,f48])).
% 0.18/0.52 fof(f63,definition,(
% 0.18/0.52 sQ2_spl <=> (distinct_points(sK0_skl,sK1_skl))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f65,plain,(
% 0.18/0.52 ~distinct_points(sK0_skl,sK1_skl)|sQ2_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f63])).
% 0.18/0.52 fof(f66,definition,(
% 0.18/0.52 sQ3_spl <=> (distinct_points(sK2_skl,sK0_skl))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f69,plain,(
% 0.18/0.52 ~sQ2_spl|sQ3_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f62,f63,f66])).
% 0.18/0.52 fof(f70,plain,(
% 0.18/0.52 $false|sQ2_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f65,f47])).
% 0.18/0.52 fof(f71,plain,(
% 0.18/0.52 sQ2_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f70])).
% 0.18/0.52 fof(f72,plain,(
% 0.18/0.52 ~distinct_points(sK0_skl,sK1_skl)|distinct_points(sK2_skl,sK1_skl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f30,f48])).
% 0.18/0.52 fof(f73,definition,(
% 0.18/0.52 sQ4_spl <=> (distinct_points(sK2_skl,sK1_skl))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f76,plain,(
% 0.18/0.52 ~sQ2_spl|sQ4_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f72,f63,f73])).
% 0.18/0.52 fof(f131,plain,(
% 0.18/0.52 apart_point_and_line(sK2_skl,line_connecting(sK2_skl,sK0_skl))|sQ0_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f61,f52])).
% 0.18/0.52 fof(f136,plain,(
% 0.18/0.52 ~distinct_points(sK2_skl,sK0_skl)|distinct_points(sK2_skl,sK2_skl)|sQ0_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f131,f29])).
% 0.18/0.52 fof(f140,definition,(
% 0.18/0.52 sQ10_spl <=> (distinct_points(sK2_skl,sK2_skl))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f141,plain,(
% 0.18/0.52 distinct_points(sK2_skl,sK2_skl)|~sQ10_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f140])).
% 0.18/0.52 fof(f143,plain,(
% 0.18/0.52 ~sQ3_spl|sQ10_spl|sQ0_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f136,f66,f140,f50])).
% 0.18/0.52 fof(f144,plain,(
% 0.18/0.52 $false|~sQ10_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f141,f15])).
% 0.18/0.52 fof(f145,plain,(
% 0.18/0.52 ~sQ10_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f144])).
% 0.18/0.52 fof(f164,plain,(
% 0.18/0.52 apart_point_and_line(sK2_skl,line_connecting(sK2_skl,sK1_skl))|sQ1_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f55,f61])).
% 0.18/0.52 fof(f172,plain,(
% 0.18/0.52 ~distinct_points(sK2_skl,sK1_skl)|distinct_points(sK2_skl,sK2_skl)|sQ1_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f164,f29])).
% 0.18/0.52 fof(f176,plain,(
% 0.18/0.52 ~sQ4_spl|sQ10_spl|sQ1_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f172,f73,f140,f53])).
% 0.18/0.52 fof(f177,plain,(
% 0.18/0.52 $false),
% 0.18/0.52 inference(sat_refutation,[status(thm)],[f56,f69,f71,f76,f143,f145,f176])).
% 0.18/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.53 % Elapsed time: 0.058132 seconds
% 0.18/0.53 % CPU time: 0.091300 seconds
% 0.18/0.53 % Total memory used: 4.573 MB
% 0.18/0.53 % Net memory used: 4.521 MB
%------------------------------------------------------------------------------