%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO184+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 12:25:59 PM UTC 2026
% Result : Theorem 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO184+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
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 13:08:00 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f7,axiom,(
% 0.09/0.37 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f8,axiom,(
% 0.09/0.37 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f11,axiom,(
% 0.09/0.37 (! [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) ) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f15,conjecture,(
% 0.09/0.37 (! [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)) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f16,negated_conjecture,(
% 0.09/0.37 ~((! [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)) ) ))),
% 0.09/0.37 inference(negated_conjecture,[status(cth)],[f15])).
% 0.09/0.37 fof(f29,plain,(
% 0.09/0.37 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.37 fof(f32,plain,(
% 0.09/0.37 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 ![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)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 ![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))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.37 fof(f48,plain,(
% 0.09/0.37 (?[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))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.09/0.37 fof(f49,plain,(
% 0.09/0.37 ?[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)))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f48])).
% 0.09/0.37 fof(f50,plain,(
% 0.09/0.37 ((((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)))),
% 0.09/0.37 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])).
% 0.09/0.37 fof(f51,plain,(
% 0.09/0.37 distinct_points(sK0_skl,sK1_skl)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.37 fof(f53,plain,(
% 0.09/0.37 ~apart_point_and_line(sK0_skl,sK2_skl)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.37 fof(f54,plain,(
% 0.09/0.37 ~apart_point_and_line(sK1_skl,sK2_skl)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.37 fof(f68,plain,(
% 0.09/0.37 ![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)))),
% 0.09/0.37 inference(resolution,[status(thm)],[f38,f55])).
% 0.09/0.37 fof(f73,plain,(
% 0.09/0.37 apart_point_and_line(sK0_skl,sK2_skl)|apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(sK1_skl,sK2_skl)|apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.09/0.37 inference(resolution,[status(thm)],[f68,f51])).
% 0.09/0.37 fof(f74,definition,(
% 0.09/0.37 sQ0_spl <=> (apart_point_and_line(sK1_skl,sK2_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f75,plain,(
% 0.09/0.37 apart_point_and_line(sK1_skl,sK2_skl)|~sQ0_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f74])).
% 0.09/0.37 fof(f77,definition,(
% 0.09/0.37 sQ1_spl <=> (apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f78,plain,(
% 0.09/0.37 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ1_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f77])).
% 0.09/0.37 fof(f84,definition,(
% 0.09/0.37 sQ3_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f85,plain,(
% 0.09/0.37 apart_point_and_line(sK0_skl,sK2_skl)|~sQ3_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f84])).
% 0.09/0.37 fof(f87,definition,(
% 0.09/0.37 sQ4_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f88,plain,(
% 0.09/0.37 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ4_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f87])).
% 0.09/0.37 fof(f90,plain,(
% 0.09/0.37 sQ3_spl|sQ4_spl|sQ0_spl|sQ1_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f73,f84,f87,f74,f77])).
% 0.09/0.37 fof(f93,plain,(
% 0.09/0.37 ~distinct_points(sK0_skl,sK1_skl)|~sQ1_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f78,f32])).
% 0.09/0.37 fof(f96,plain,(
% 0.09/0.37 $false|~sQ1_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f93,f51])).
% 0.09/0.37 fof(f97,plain,(
% 0.09/0.37 ~sQ1_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f96])).
% 0.09/0.37 fof(f98,plain,(
% 0.09/0.37 $false|~sQ0_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f75,f54])).
% 0.09/0.37 fof(f99,plain,(
% 0.09/0.37 ~sQ0_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f98])).
% 0.09/0.37 fof(f100,plain,(
% 0.09/0.37 $false|~sQ3_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f85,f53])).
% 0.09/0.37 fof(f101,plain,(
% 0.09/0.37 ~sQ3_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f100])).
% 0.09/0.37 fof(f156,plain,(
% 0.09/0.37 ~distinct_points(sK0_skl,sK1_skl)|~sQ4_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f88,f30])).
% 0.09/0.37 fof(f159,plain,(
% 0.09/0.37 $false|~sQ4_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f156,f51])).
% 0.09/0.37 fof(f160,plain,(
% 0.09/0.37 ~sQ4_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f159])).
% 0.09/0.37 fof(f161,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(sat_refutation,[status(thm)],[f90,f97,f99,f101,f160])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.047759 seconds
% 0.13/0.41 % CPU time: 0.107938 seconds
% 0.13/0.41 % Total memory used: 14.504 MB
% 0.13/0.41 % Net memory used: 14.151 MB
%------------------------------------------------------------------------------