%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO200+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 : 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 12:26:03 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO200+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
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 13:19:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,axiom,(
% 0.15/0.39 (! [X] : ~ distinct_points(X,X) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,axiom,(
% 0.15/0.39 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f7,axiom,(
% 0.15/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f8,axiom,(
% 0.15/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f11,axiom,(
% 0.15/0.39 (! [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) ) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f15,conjecture,(
% 0.15/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f16,negated_conjecture,(
% 0.15/0.39 ~((! [X,Y] :( distinct_points(X,Y)=> ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ) ))),
% 0.15/0.39 inference(negated_conjecture,[status(cth)],[f15])).
% 0.15/0.39 fof(f17,plain,(
% 0.15/0.39 ![X0]: (~distinct_points(X0,X0))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f20,plain,(
% 0.15/0.39 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/0.39 fof(f21,plain,(
% 0.15/0.39 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.15/0.39 fof(f22,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.39 fof(f29,plain,(
% 0.15/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.39 fof(f31,plain,(
% 0.15/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/0.39 fof(f32,plain,(
% 0.15/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.39 fof(f37,plain,(
% 0.15/0.39 ![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)))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.15/0.39 fof(f38,plain,(
% 0.15/0.39 ![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))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.15/0.39 fof(f48,plain,(
% 0.15/0.39 (?[X,Y]: (distinct_points(X,Y)&distinct_lines(line_connecting(X,Y),line_connecting(Y,X))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.15/0.39 fof(f49,plain,(
% 0.15/0.39 (distinct_points(sK0_skl,sK1_skl)&distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl)))),
% 0.15/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f48])).
% 0.15/0.39 fof(f50,plain,(
% 0.15/0.39 distinct_points(sK0_skl,sK1_skl)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.15/0.39 fof(f51,plain,(
% 0.15/0.39 distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.15/0.39 fof(f52,plain,(
% 0.15/0.39 ![X0]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X0))),
% 0.15/0.39 inference(resolution,[status(thm)],[f22,f50])).
% 0.15/0.39 fof(f53,plain,(
% 0.15/0.39 ![X0,X1]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X1)|distinct_points(X0,X1))),
% 0.15/0.39 inference(resolution,[status(thm)],[f52,f22])).
% 0.15/0.39 fof(f56,plain,(
% 0.15/0.39 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(X0,line_connecting(sK1_skl,sK0_skl))|apart_point_and_line(X1,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(X1,line_connecting(sK1_skl,sK0_skl)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f38,f51])).
% 0.15/0.39 fof(f59,plain,(
% 0.15/0.39 distinct_points(sK1_skl,sK0_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f53,f17])).
% 0.15/0.39 fof(f89,plain,(
% 0.15/0.39 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(sK1_skl,line_connecting(sK1_skl,sK0_skl))|apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(sK0_skl,line_connecting(sK1_skl,sK0_skl))),
% 0.15/0.39 inference(resolution,[status(thm)],[f56,f59])).
% 0.15/0.39 fof(f100,definition,(
% 0.15/0.39 sQ4_spl <=> (apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f101,plain,(
% 0.15/0.39 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ4_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f100])).
% 0.15/0.39 fof(f103,definition,(
% 0.15/0.39 sQ5_spl <=> (apart_point_and_line(sK1_skl,line_connecting(sK1_skl,sK0_skl)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f104,plain,(
% 0.15/0.39 apart_point_and_line(sK1_skl,line_connecting(sK1_skl,sK0_skl))|~sQ5_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f103])).
% 0.15/0.39 fof(f106,definition,(
% 0.15/0.39 sQ6_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f107,plain,(
% 0.15/0.39 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ6_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.15/0.39 fof(f109,definition,(
% 0.15/0.39 sQ7_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK1_skl,sK0_skl)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f110,plain,(
% 0.15/0.39 apart_point_and_line(sK0_skl,line_connecting(sK1_skl,sK0_skl))|~sQ7_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.15/0.39 fof(f112,plain,(
% 0.15/0.39 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f89,f100,f103,f106,f109])).
% 0.15/0.39 fof(f183,plain,(
% 0.15/0.39 ~distinct_points(sK1_skl,sK0_skl)|~sQ7_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f110,f32])).
% 0.15/0.39 fof(f186,plain,(
% 0.15/0.39 $false|~sQ7_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f183,f59])).
% 0.15/0.39 fof(f187,plain,(
% 0.15/0.39 ~sQ7_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f186])).
% 0.15/0.39 fof(f188,plain,(
% 0.15/0.39 ~distinct_points(sK1_skl,sK0_skl)|~sQ5_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f104,f30])).
% 0.15/0.39 fof(f191,plain,(
% 0.15/0.39 $false|~sQ5_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f188,f59])).
% 0.15/0.39 fof(f192,plain,(
% 0.15/0.39 ~sQ5_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f191])).
% 0.15/0.39 fof(f193,plain,(
% 0.15/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ6_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f107,f30])).
% 0.15/0.39 fof(f196,plain,(
% 0.15/0.39 $false|~sQ6_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f193,f50])).
% 0.15/0.39 fof(f197,plain,(
% 0.15/0.39 ~sQ6_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f196])).
% 0.15/0.39 fof(f235,plain,(
% 0.15/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ4_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f101,f32])).
% 0.15/0.39 fof(f238,plain,(
% 0.15/0.39 $false|~sQ4_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f235,f50])).
% 0.15/0.39 fof(f239,plain,(
% 0.15/0.39 ~sQ4_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f238])).
% 0.15/0.39 fof(f240,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f112,f187,f192,f197,f239])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.043023 seconds
% 0.15/0.42 % CPU time: 0.146105 seconds
% 0.15/0.42 % Total memory used: 17.718 MB
% 0.15/0.42 % Net memory used: 17.214 MB
%------------------------------------------------------------------------------