%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO192+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 : n006.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 12:26:01 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 : GEO192+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 : n006.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 13:14:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % 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(f2,axiom,(
% 0.10/0.39 (! [X] : ~ distinct_lines(X,X) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,axiom,(
% 0.10/0.39 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f9,axiom,(
% 0.10/0.39 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f10,axiom,(
% 0.10/0.39 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.10/0.39 file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f36,conjecture,(
% 0.10/0.39 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( apart_point_and_line(intersection_point(X,Y),Z)=> ( distinct_lines(X,Z)& distinct_lines(Y,Z) ) ) ) )),
% 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,Z] :( convergent_lines(X,Y)=> ( apart_point_and_line(intersection_point(X,Y),Z)=> ( distinct_lines(X,Z)& distinct_lines(Y,Z) ) ) ) ))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f36])).
% 0.10/0.39 fof(f39,plain,(
% 0.10/0.39 ![X0]: (~distinct_lines(X0,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f44,plain,(
% 0.10/0.39 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f45,plain,(
% 0.10/0.39 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f44])).
% 0.10/0.39 fof(f46,plain,(
% 0.10/0.39 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.10/0.39 fof(f54,plain,(
% 0.10/0.39 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f54])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.10/0.39 fof(f57,plain,(
% 0.10/0.39 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.39 fof(f63,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(f64,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)],[f63])).
% 0.10/0.39 fof(f65,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)],[f64])).
% 0.10/0.39 fof(f127,plain,(
% 0.10/0.39 (?[X,Y,Z]: (convergent_lines(X,Y)&(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z)))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.39 fof(f128,plain,(
% 0.10/0.39 ?[X,Y]: (convergent_lines(X,Y)&(?[Z]: (apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z)))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f127])).
% 0.10/0.39 fof(f129,plain,(
% 0.10/0.39 (convergent_lines(sK0_skl,sK1_skl)&(apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)&(~distinct_lines(sK0_skl,sK2_skl)|~distinct_lines(sK1_skl,sK2_skl))))),
% 0.10/0.39 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)],[f128])).
% 0.10/0.39 fof(f130,plain,(
% 0.10/0.39 convergent_lines(sK0_skl,sK1_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.39 fof(f131,plain,(
% 0.10/0.39 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 ~distinct_lines(sK0_skl,sK2_skl)|~distinct_lines(sK1_skl,sK2_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.40 fof(f143,definition,(
% 0.10/0.40 sQ0_spl <=> (distinct_lines(sK0_skl,sK2_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f145,plain,(
% 0.10/0.40 ~distinct_lines(sK0_skl,sK2_skl)|sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f143])).
% 0.10/0.40 fof(f146,definition,(
% 0.10/0.40 sQ1_spl <=> (distinct_lines(sK1_skl,sK2_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 ~distinct_lines(sK1_skl,sK2_skl)|sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f146])).
% 0.10/0.40 fof(f149,plain,(
% 0.10/0.40 ~sQ0_spl|~sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f132,f143,f146])).
% 0.10/0.40 fof(f151,plain,(
% 0.10/0.40 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f65,f131])).
% 0.10/0.40 fof(f164,plain,(
% 0.10/0.40 distinct_lines(sK2_skl,sK1_skl)|~convergent_lines(sK0_skl,sK1_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f151,f57])).
% 0.10/0.40 fof(f165,plain,(
% 0.10/0.40 distinct_lines(sK2_skl,sK0_skl)|~convergent_lines(sK0_skl,sK1_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f151,f55])).
% 0.10/0.40 fof(f171,definition,(
% 0.10/0.40 sQ2_spl <=> (distinct_lines(sK2_skl,sK1_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f172,plain,(
% 0.10/0.40 distinct_lines(sK2_skl,sK1_skl)|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f171])).
% 0.10/0.40 fof(f174,definition,(
% 0.10/0.40 sQ3_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f176,plain,(
% 0.10/0.40 ~convergent_lines(sK0_skl,sK1_skl)|sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f174])).
% 0.10/0.40 fof(f177,plain,(
% 0.10/0.40 sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f164,f171,f174])).
% 0.10/0.40 fof(f178,definition,(
% 0.10/0.40 sQ4_spl <=> (distinct_lines(sK2_skl,sK0_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f179,plain,(
% 0.10/0.40 distinct_lines(sK2_skl,sK0_skl)|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.10/0.40 fof(f181,plain,(
% 0.10/0.40 sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f165,f178,f174])).
% 0.10/0.40 fof(f182,plain,(
% 0.10/0.40 $false|sQ3_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f176,f130])).
% 0.10/0.40 fof(f183,plain,(
% 0.10/0.40 sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f182])).
% 0.10/0.40 fof(f186,plain,(
% 0.10/0.40 ![X0]: (distinct_lines(sK2_skl,X0)|distinct_lines(sK1_skl,X0)|~sQ2_spl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f172,f46])).
% 0.10/0.40 fof(f188,plain,(
% 0.10/0.40 ![X0]: (distinct_lines(sK2_skl,X0)|distinct_lines(sK0_skl,X0)|~sQ4_spl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f179,f46])).
% 0.10/0.40 fof(f239,plain,(
% 0.10/0.40 distinct_lines(sK1_skl,sK2_skl)|~sQ2_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f186,f39])).
% 0.10/0.40 fof(f252,plain,(
% 0.10/0.40 distinct_lines(sK0_skl,sK2_skl)|~sQ4_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f188,f39])).
% 0.10/0.40 fof(f253,plain,(
% 0.10/0.40 $false|sQ0_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f252,f145])).
% 0.10/0.40 fof(f254,plain,(
% 0.10/0.40 sQ0_spl|~sQ4_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f253])).
% 0.10/0.40 fof(f255,plain,(
% 0.10/0.40 $false|~sQ2_spl|sQ1_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f148,f239])).
% 0.10/0.40 fof(f256,plain,(
% 0.10/0.40 ~sQ2_spl|sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f255])).
% 0.10/0.40 fof(f257,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f149,f177,f181,f183,f254,f256])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.045778 seconds
% 0.10/0.42 % CPU time: 0.125687 seconds
% 0.10/0.42 % Total memory used: 18.540 MB
% 0.10/0.42 % Net memory used: 18.417 MB
%------------------------------------------------------------------------------