%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO170+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 12:25:55 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO170+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 12:52:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (! [X] : ~ distinct_points(X,X) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,axiom,(
% 0.08/0.38 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f7,axiom,(
% 0.08/0.38 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f8,axiom,(
% 0.08/0.38 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f11,axiom,(
% 0.08/0.38 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f15,conjecture,(
% 0.08/0.38 (! [X,Y,Z] :( ( distinct_points(X,Y)& ~ apart_point_and_line(X,Z)& ~ apart_point_and_line(Y,Z) )=> ~ distinct_lines(Z,line_connecting(X,Y)) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f16,negated_conjecture,(
% 0.08/0.38 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& ~ apart_point_and_line(X,Z)& ~ apart_point_and_line(Y,Z) )=> ~ distinct_lines(Z,line_connecting(X,Y)) ) ))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f15])).
% 0.08/0.38 fof(f17,plain,(
% 0.08/0.38 ![X0]: (~distinct_points(X0,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.38 fof(f20,plain,(
% 0.08/0.38 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.38 fof(f21,plain,(
% 0.08/0.38 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f20])).
% 0.08/0.38 fof(f22,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.38 fof(f29,plain,(
% 0.08/0.38 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.38 fof(f30,plain,(
% 0.08/0.38 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/0.38 fof(f31,plain,(
% 0.08/0.38 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/0.38 fof(f32,plain,(
% 0.08/0.38 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.38 fof(f37,plain,(
% 0.08/0.38 ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.08/0.38 fof(f38,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.38 fof(f48,plain,(
% 0.08/0.38 (?[X,Y,Z]: (((distinct_points(X,Y)&~apart_point_and_line(X,Z))&~apart_point_and_line(Y,Z))&distinct_lines(Z,line_connecting(X,Y))))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.08/0.38 fof(f49,plain,(
% 0.08/0.38 (((distinct_points(sK0_skl,sK1_skl)&~apart_point_and_line(sK0_skl,sK2_skl))&~apart_point_and_line(sK1_skl,sK2_skl))&distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.08/0.38 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])).
% 0.08/0.38 fof(f50,plain,(
% 0.08/0.38 distinct_points(sK0_skl,sK1_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/0.38 fof(f51,plain,(
% 0.08/0.38 ~apart_point_and_line(sK0_skl,sK2_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/0.38 fof(f52,plain,(
% 0.08/0.38 ~apart_point_and_line(sK1_skl,sK2_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/0.38 fof(f53,plain,(
% 0.08/0.38 distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/0.39 fof(f54,plain,(
% 0.08/0.39 ![X0]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X0))),
% 0.08/0.39 inference(resolution,[status(thm)],[f22,f50])).
% 0.08/0.39 fof(f56,plain,(
% 0.08/0.39 distinct_points(sK1_skl,sK0_skl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f54,f17])).
% 0.08/0.39 fof(f58,plain,(
% 0.08/0.39 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sK2_skl)|apart_point_and_line(X0,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(X1,sK2_skl)|apart_point_and_line(X1,line_connecting(sK0_skl,sK1_skl)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f38,f53])).
% 0.08/0.39 fof(f87,plain,(
% 0.08/0.39 apart_point_and_line(sK1_skl,sK2_skl)|apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(sK0_skl,sK2_skl)|apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.08/0.39 inference(resolution,[status(thm)],[f58,f56])).
% 0.08/0.39 fof(f96,definition,(
% 0.08/0.39 sQ4_spl <=> (apart_point_and_line(sK1_skl,sK2_skl))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f97,plain,(
% 0.08/0.39 apart_point_and_line(sK1_skl,sK2_skl)|~sQ4_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f96])).
% 0.08/0.39 fof(f99,definition,(
% 0.08/0.39 sQ5_spl <=> (apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f100,plain,(
% 0.08/0.39 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ5_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.08/0.39 fof(f102,definition,(
% 0.08/0.39 sQ6_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f103,plain,(
% 0.08/0.39 apart_point_and_line(sK0_skl,sK2_skl)|~sQ6_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.08/0.39 fof(f105,definition,(
% 0.08/0.39 sQ7_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f106,plain,(
% 0.08/0.39 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ7_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.08/0.39 fof(f108,plain,(
% 0.08/0.39 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f87,f96,f99,f102,f105])).
% 0.08/0.39 fof(f132,plain,(
% 0.08/0.39 $false|~sQ6_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f103,f51])).
% 0.08/0.39 fof(f133,plain,(
% 0.08/0.39 ~sQ6_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f132])).
% 0.08/0.39 fof(f187,plain,(
% 0.08/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ7_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f106,f30])).
% 0.08/0.39 fof(f190,plain,(
% 0.08/0.39 $false|~sQ7_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f187,f50])).
% 0.08/0.39 fof(f191,plain,(
% 0.08/0.39 ~sQ7_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f190])).
% 0.08/0.39 fof(f192,plain,(
% 0.08/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ5_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f100,f32])).
% 0.08/0.39 fof(f195,plain,(
% 0.08/0.39 $false|~sQ5_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f192,f50])).
% 0.08/0.39 fof(f196,plain,(
% 0.08/0.39 ~sQ5_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f195])).
% 0.08/0.39 fof(f197,plain,(
% 0.08/0.39 $false|~sQ4_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f97,f52])).
% 0.08/0.39 fof(f198,plain,(
% 0.08/0.39 ~sQ4_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f197])).
% 0.08/0.39 fof(f199,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f108,f133,f191,f196,f198])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.40 % Elapsed time: 0.039697 seconds
% 0.08/0.40 % CPU time: 0.113200 seconds
% 0.08/0.40 % Total memory used: 15.265 MB
% 0.08/0.40 % Net memory used: 14.915 MB
%------------------------------------------------------------------------------