%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO173+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : GEO173+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 12:51:11 UTC 2026
% 0.10/0.36 % 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(f1,axiom,(
% 0.10/0.39 (! [X] : ~ distinct_points(X,X) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f11,axiom,(
% 0.10/0.39 (! [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) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f36,conjecture,(
% 0.10/0.39 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_lines(U,line_connecting(X,Y)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f37,negated_conjecture,(
% 0.10/0.39 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_lines(U,line_connecting(X,Y)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) ) ))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f36])).
% 0.10/0.39 fof(f38,plain,(
% 0.10/0.39 ![X0]: (~distinct_points(X0,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f42,plain,(
% 0.10/0.39 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f41])).
% 0.10/0.39 fof(f43,plain,(
% 0.10/0.39 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.10/0.39 fof(f50,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(f51,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)],[f50])).
% 0.10/0.39 fof(f52,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(f53,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)],[f52])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 ![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)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.10/0.39 fof(f59,plain,(
% 0.10/0.39 ![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))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.39 fof(f127,plain,(
% 0.10/0.39 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&distinct_lines(U,line_connecting(X,Y)))&(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.39 fof(f128,plain,(
% 0.10/0.39 ?[X,Y,U]: (((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&distinct_lines(U,line_connecting(X,Y)))&(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f127])).
% 0.10/0.39 fof(f129,plain,(
% 0.10/0.39 (((distinct_points(sK0_skl,sK1_skl)&convergent_lines(sK2_skl,sK3_skl))&distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&(~apart_point_and_line(sK0_skl,sK2_skl)&~apart_point_and_line(sK1_skl,sK2_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)],[f128])).
% 0.10/0.39 fof(f130,plain,(
% 0.10/0.39 distinct_points(sK0_skl,sK1_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.39 fof(f132,plain,(
% 0.10/0.39 distinct_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.39 fof(f133,plain,(
% 0.10/0.39 ~apart_point_and_line(sK0_skl,sK2_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.39 fof(f134,plain,(
% 0.10/0.39 ~apart_point_and_line(sK1_skl,sK2_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.39 fof(f146,plain,(
% 0.10/0.39 ![X0]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f43,f130])).
% 0.10/0.39 fof(f153,plain,(
% 0.10/0.39 ![X0,X1]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X1)|distinct_points(X0,X1))),
% 0.10/0.39 inference(resolution,[status(thm)],[f146,f43])).
% 0.10/0.39 fof(f161,plain,(
% 0.10/0.39 distinct_points(sK1_skl,sK0_skl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f153,f38])).
% 0.10/0.39 fof(f192,plain,(
% 0.10/0.39 ![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)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f59,f132])).
% 0.10/0.39 fof(f212,plain,(
% 0.10/0.39 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))),
% 0.10/0.39 inference(resolution,[status(thm)],[f192,f161])).
% 0.10/0.39 fof(f223,definition,(
% 0.10/0.39 sQ4_spl <=> (apart_point_and_line(sK1_skl,sK2_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f224,plain,(
% 0.10/0.39 apart_point_and_line(sK1_skl,sK2_skl)|~sQ4_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f223])).
% 0.10/0.39 fof(f226,definition,(
% 0.10/0.39 sQ5_spl <=> (apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f227,plain,(
% 0.10/0.39 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ5_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f226])).
% 0.10/0.39 fof(f229,definition,(
% 0.10/0.39 sQ6_spl <=> (apart_point_and_line(sK0_skl,sK2_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f230,plain,(
% 0.10/0.39 apart_point_and_line(sK0_skl,sK2_skl)|~sQ6_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f229])).
% 0.10/0.39 fof(f232,definition,(
% 0.10/0.39 sQ7_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f233,plain,(
% 0.10/0.39 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ7_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f232])).
% 0.10/0.39 fof(f235,plain,(
% 0.10/0.39 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f212,f223,f226,f229,f232])).
% 0.10/0.39 fof(f264,plain,(
% 0.10/0.39 $false|~sQ6_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f230,f133])).
% 0.10/0.39 fof(f265,plain,(
% 0.10/0.39 ~sQ6_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f264])).
% 0.10/0.39 fof(f268,plain,(
% 0.10/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ7_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f233,f51])).
% 0.10/0.39 fof(f271,plain,(
% 0.10/0.39 $false|~sQ7_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f268,f130])).
% 0.10/0.39 fof(f272,plain,(
% 0.10/0.39 ~sQ7_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f271])).
% 0.10/0.39 fof(f273,plain,(
% 0.10/0.39 $false|~sQ4_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f224,f134])).
% 0.10/0.39 fof(f274,plain,(
% 0.10/0.39 ~sQ4_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f273])).
% 0.10/0.39 fof(f275,plain,(
% 0.10/0.39 ~distinct_points(sK0_skl,sK1_skl)|~sQ5_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f227,f53])).
% 0.10/0.39 fof(f278,plain,(
% 0.10/0.39 $false|~sQ5_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f275,f130])).
% 0.10/0.39 fof(f279,plain,(
% 0.10/0.39 ~sQ5_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f278])).
% 0.10/0.39 fof(f280,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f235,f265,f272,f274,f279])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.047562 seconds
% 0.15/0.42 % CPU time: 0.085331 seconds
% 0.15/0.42 % Total memory used: 3.741 MB
% 0.15/0.42 % Net memory used: 3.707 MB
%------------------------------------------------------------------------------