%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO174+1 : 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 : n003.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 12:25:56 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO174+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.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 13:01:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f7,axiom,(
% 0.10/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,axiom,(
% 0.10/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f13,axiom,(
% 0.10/0.39 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f15,conjecture,(
% 0.10/0.39 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) )=> distinct_lines(U,line_connecting(X,Y)) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f16,negated_conjecture,(
% 0.10/0.39 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) )=> distinct_lines(U,line_connecting(X,Y)) ) ))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f15])).
% 0.10/0.39 fof(f29,plain,(
% 0.10/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f30,plain,(
% 0.10/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.39 fof(f31,plain,(
% 0.10/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.39 fof(f42,plain,(
% 0.10/0.39 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f43,plain,(
% 0.10/0.39 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f42])).
% 0.10/0.39 fof(f44,plain,(
% 0.10/0.39 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.10/0.39 fof(f48,plain,(
% 0.10/0.39 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.10/0.39 fof(f49,plain,(
% 0.10/0.39 ?[X,Y,U]: (((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f48])).
% 0.10/0.39 fof(f50,plain,(
% 0.10/0.39 (((distinct_points(sK0_skl,sK1_skl)&convergent_lines(sK2_skl,sK3_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)))),
% 0.10/0.39 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)],[f49])).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 distinct_points(sK0_skl,sK1_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.39 fof(f53,plain,(
% 0.10/0.39 apart_point_and_line(sK0_skl,sK2_skl)|apart_point_and_line(sK1_skl,sK2_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.39 fof(f54,plain,(
% 0.10/0.39 ~distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.39 fof(f55,definition,(
% 0.10/0.39 sQ0_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 apart_point_and_line(sK0_skl,sK2_skl)|~sQ0_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.10/0.39 fof(f58,definition,(
% 0.10/0.39 sQ1_spl <=> (apart_point_and_line(sK1_skl,sK2_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f59,plain,(
% 0.10/0.39 apart_point_and_line(sK1_skl,sK2_skl)|~sQ1_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f58])).
% 0.10/0.39 fof(f61,plain,(
% 0.10/0.39 sQ0_spl|sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f53,f55,f58])).
% 0.10/0.39 fof(f73,plain,(
% 0.10/0.39 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(sK0_skl,X0)|~sQ0_spl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f44,f56])).
% 0.10/0.39 fof(f77,plain,(
% 0.10/0.39 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ0_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f73,f54])).
% 0.10/0.39 fof(f88,plain,(
% 0.10/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ0_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f77,f30])).
% 0.10/0.39 fof(f91,plain,(
% 0.10/0.39 $false|~sQ0_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f88,f51])).
% 0.10/0.39 fof(f92,plain,(
% 0.10/0.39 ~sQ0_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f91])).
% 0.10/0.39 fof(f93,plain,(
% 0.10/0.39 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(sK1_skl,X0)|~sQ1_spl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f59,f44])).
% 0.10/0.39 fof(f97,plain,(
% 0.10/0.39 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ1_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f93,f54])).
% 0.10/0.39 fof(f103,plain,(
% 0.10/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ1_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f97,f32])).
% 0.10/0.39 fof(f106,plain,(
% 0.10/0.39 $false|~sQ1_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f103,f51])).
% 0.10/0.39 fof(f107,plain,(
% 0.10/0.39 ~sQ1_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f106])).
% 0.10/0.39 fof(f108,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f61,f92,f107])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.041111 seconds
% 0.10/0.42 % CPU time: 0.099546 seconds
% 0.10/0.42 % Total memory used: 13.411 MB
% 0.10/0.42 % Net memory used: 13.107 MB
%------------------------------------------------------------------------------